The formation range of binary system tellurite glass.
This chapter provides expert coverage of the physical properties of new noncrystalline solids—tellurite glass and the latest laser applications of the material—offering insights into innovative applications for laser and sensing devices, among others. In particular, there is a focus on specialty optical fibers, supercontinuum generation and laser devices, and luminescence properties for laser applications. This chapter also addresses the fabrication and optical properties and uses of tellurite glasses in optical fibers and optical microcavities, the significance of from near infrared (NIR) to mid-infrared (MIR) emissions and the development of tellurite glass-based microcavity lasers. The important attributes of these tellurite glasses and their applications in lasers were discussed in this chapter.
- tellurite glass
- fiber lasers
- supercontinuum sources
- specialty fibers
- microcavity lasers
1. Introduction of tellurite glass
Tellurite glasses are noncrystalline solids with many applications in photonics, appear in a wide range of compositions, and can be operated over a large temperature range [1, 2, 3, 4]. Tellurite glasses have been studied for more than 150 years , but more recent versions have been produced with purities exceeding 98.5% . They are characterized by a low melting point and the absence of hygroscopic properties, and hence tellurite glasses have limited the application of phosphate and borate glasses and aroused widespread interest in the field of photonics and associated technologies. Moreover, they have high density and a low transition temperature [7, 8]. Their optical properties include relatively high refractive index, high nonlinear refractive index, high dielectric constant, as well as good chemical stability and a wide infrared (IR) transmission range (1–6 μm) [9, 10, 11].
In 1952, Stanworth  conducted preliminary research on the formation and structure of tellurite glass. The main raw material is TeO2 and at that time this was relatively expensive, and hence tellurite glass was considered to be of low practical value and had not been further studied. Since the late 1980s to the mid of 1990s [12, 13], considerable progress had been made in the advancement and understanding of the optical and physical properties of new tellurite glasses, including their molecular structure and bonding properties.
Research in tellurite glass-based broadband fiber amplifiers was initially concentrated around erbium-doped tellurite fibers. This was primarily due to its relatively broadband gain spectrum, which led to it attracting a great deal of research attention which has persisted up to the present. Currently, many world-class university-based research institutions and industrial companies have investigated the potential of tellurite glass for use in fibers, and this has resulted in rapid progress. In this section, the composition, structure, and thermal stability of tellurite glasses will be considered.
1.1 Composition of tellurite glass
The selection of tellurite glass components when used in binary combinations with other materials is very important. It directly affects the glass-forming ability, thermal stability, refractive index, rare earth ion doping concentration, and spectral characteristics. Table 1 lists the range of TeO2 glass formation in several binary tellurite glass systems. Table 1 shows that TeO2 exhibits the largest glass formation range in the case of the three binary systems TeO2-ZnO (100–52 mol%), TeO2-WO3 (94.7–61.3 mol%), and TeO2-TiO2 (100–52 mol%).
|Composition||Glass formation range|
|Composition||Glass formation range|
The structure of tellurite glass is always generally based on binary systems. The ternary and multivariate tellurite glass systems have been generally used as rare earth-doped substrates for the investigation of the waveguide spectral properties. The diversity of components has helped to improve the chemical and thermal stability of tellurite glass-based devices. Table 2  includes the composition of the tellurite glass systems that have been reported in recent years. In all cases TeO2 was used as the glass-forming material, and its content was generally higher than 50 mol% (as shown in Table 1). Other oxides were generally used as modified bodies. From Table 2 , it can be seen that the research objects of the binary system were more diversified. In addition to the common monovalent alkali metal oxides and divalent alkaline earth metal oxides, many other oxide components were involved, including CeO2, SmO2, V2O5, etc. It should be pointed out that in the case of the ternary tellurite glass systems, the TeO2-ZnO-RmOn and TeO2-WO3-RmOn glass systems were the most widely investigated, because these two systems possessed a wide range of glass formation regions and a wide range of adjustable components.
|Binary system||Ternary system||Multicomponent glass system|
|TeO2-R2O (R = Li, Na, K, Rb, Cs, Ti) ||TeO2-ZnO-R2O (R = Li, Na, K) ||TeO2-ZnO-B2O3-K2O |
|TeO2-MO (M = Zn , Ba, Pb) ||TeO2-ZnO-RO (R = Ba, Mg, Sr) ||TeO2-ZnO-GeO2-Na2O |
|TeO2-M3O4 (M = Co) ||TeO2-WO3-R2O (R = Li, Na, K) ||TeO2-ZnO-B2O3-GeO2-Na2O |
|TeO2-M2O3 (M = Sm, La) ||TeO2-WO3-BaO ||TeO2-ZnO-Na2O-Bi2O3 |
|TeO2-CeO2 ||TeO2-WO3-Bi2O3 ||TeO2-ZnO-WO3-TiO2-Na2O |
|TeO2-M2O5 (M = P , V , Nb )||TeO2-WO3-Nb2O5 ||TeO2-ZnO-Nb2O5-Nb2O3 |
|TeO2-MO3 (M = W , Mo )||TeO2-B2O3-M2O3 (M = Al, Ga, Sc, La, Bi) ||TeO2-Li2O-Nb2O5-K2O |
|TeO2-PbF2 ||TeO2-K2O-La2O3 ||TeO2-ZnO-Nb2O5-Gd2O3 |
1.2 The structure of tellurite glasses
Early research was reported to suggest that the molecular structure of pure tellurite glass molecules comprised TeO4 double triangular bipyramids (tbp’s) . In this polyhedron, one Te atom is surrounded by four oxygen atoms, of which two oxygen atoms Oeq are at the equator position and the other two oxygen atoms Oax at the axial position. The Te atoms are linked by Oax or Oeq into Te▬O▬Te; an apex of the tetrahedron on the equatorial plane remains unoccupied by oxygen atoms and is occupied by Te′s lone electron pair . This special polyhedral structure and the chemical bonding were different from the traditional glass-forming bodies (B2O3, SiO2, GeO2, and P2O5), which determined the specificity of the tellurite glass structure.
Some scholars used various testing methods to conduct research and analysis on tellurite glasses, especially binary system tellurite glass. Jha et al.  considered that the main structural units of tellurite glass were TeO4 double triangular bipyramids (tbp’s) and TeO3 bipyramids (bp’s) triangular pyramids. In 1995, Neov et al.  were the first to perform neutron diffraction analysis on lithium tellurite glass and pointed out that in addition to the TeO4 structural unit, a deformed double triangular pyramid TeO3+1 existed in the glass network. One of the Te▬O bonds was significantly longer than the other three. Due to the short-range similarity between the glass and crystal structures, the structure of tellurite glasses can be studied and analyzed based on the structure of tellurite crystals with the same composition. Sakida et al.  compared the Raman spectra of alkali tellurite crystals, pure tellurite glasses, and alkali tellurite glasses. The resulting Raman spectra were considered to correspond to structural elements in the glass. TeO4 (tbp’s) double triangular bipyramids were finally transformed into a TeO3 (bp’s) triangular pyramid by TeO3+1. Tatsumisago et al.  studied the change of tellurite glass structure with temperature using Raman spectroscopy. Throughout the above research, the general laws could be classified as follows:
It was generally considered that there were two kinds of structural units that form a tellurite glass network. One was TeO4 (tbp’s) double triangular pyramid in which the Te atoms were arranged as a four ligand, and the other was TeO3 (bp’s) triangular pyramid in which the Te atoms were in a triple coordination. It was considered that there were generally five kinds of structural units in alkali tellurite crystals, as shown in Figure 1(a–e). Qnm can be used to represent the structural unit in Figure 1, where n is the number of bridge oxygen molecules in the [TeO4] group and m represents the number of covalent bonds. Research on the distribution of various structural units (a–e) in tellurite glass has become a significant focus of research in this field.
When an alkali metal oxide or alkaline earth metal oxide was introduced into tellurite glass as a network modifier, the original glass network structure was destroyed. TeO4 (tbp’s) double triangular pyramid was finally transformed into TeO3 (bp’s) triangular pyramid by TeO3+1. Sekiya  investigated the TeO2-MO1/2 binary system and considered that when the alkali metal oxide content was low, the glass was composed of TeO4 (tbp’s) double triangular pyramid and TeO3+1 polyhedron. When the alkali content was less than 20 mol%, the number of TeO3+1 polyhedra increased with the increase of the alkali metal oxide content. When the alkali content was between 20 and 30 mol%, TeO3 (bp’s) triangular pyramids with non-bridged oxygen bonds appeared in the glass network structure, and the numbers of TeO4 (tbp’s) and TeO3+1 decreased accordingly. When the alkali metal oxide content exceeded 30 mol%, the Te2O52− polyhedron was formed in the network structure. When the alkali metal oxide content was greater than 50 mol%, it was considered that the glass network structure at this time was composed of TeO3 (bp’s) polyhedrons, TeO3+1 polyhedrons, and independent Te2O52− and TeO32−. At this time, the number of TeO4 in the glass was very small, and the glass structure had become extremely complex.
Temperature also affects the structure of tellurite glass. For example, when the glass temperature was gradually increased and exceeded the melting temperature, the TeO4 (tbp’s) double triangular pyramid would also be transformed into a TeO3 (bp’s) triangular pyramid. This is mainly due to the fact that Te-Oax is caused by fracture with increasing temperature, and its structural transformation process is shown in Figure 2.
1.3 Thermal properties of tellurite glass
The thermal stability of tellurite glass is primarily dictated by composition and the doping concentration of rare earth ions. The characteristic glass temperature values include glass transition temperature Tg, incipient crystallization temperature Tx, peak crystallization temperature Tc, and glass-melting temperature Tm.
The thermal stability of glass is usually expressed by ΔT, which is the differential value between Tx and Tg. A higher value of ΔT generally means that the glass has good thermal stability. If the value of the Tx is close to Tf, it will lead to crystallization during a fiber drawing process which leads to an increase in the loss (attenuation) of the resulting glass fiber. Table 3 includes a listing of several kinds of tellurite glass with good thermal stability together with their characterized glass temperatures (Tg, Tx, and ΔT). In the case of TeO2-R2O (R = Li, Na, K, or other alkali metal) tellurite glass systems, as the content of the alkali metal oxide increases, Tg gradually increases, while Tx remains almost unchanged. Consequently, the ΔT increases correspondingly, and the resistance against crystallization of the tellurite glass also increases.
In addition, the introduction of rare earth ions also has an influence on the thermal stability of tellurite glasses. For example, 1 wt% Pr2O3 introduced to a 75TeO2-20ZnO-5Na2O  system increases the ΔT value from 118 to 150°C, while 1 wt% Er2O3 introduced to 90TeO2-10P2O5  system decreases the ΔT value from 147 to 101°C. Furthermore, the concentration of the rare earth ion has a significant influences on the ΔT value of the 75TeO2-20ZnO-5Na2O  glass system.
2. Fiber lasers and fiber amplifier based on tellurite glass fibers
2.1 Tellurite glass-based fiber lasers
Since the discovery of the first ruby laser (Maiman in 1960), the laser has attracted worldwide attention for its excellent collimation, high brightness, and monochromaticity . Since then, the development of the laser has accelerated. In 1961, Javan et al. developed the helium-neon gas laser , and in 1962, Hall et al. created the GaAs coherent light emission . In 1963, Koester et al. first proposed the idea of fiber lasers and amplifiers . However, due to the shortcomings of the optical fiber at that time, the development of the optical fiber laser was slow during this period. In 1966, Gao et al. proposed the basic concept of optical fiber communication . Subsequently, optical fiber communication underwent a major research and development stage (1966–1976), a practical application stage (1976–1986), and a large-scale optical fiber communication infrastructure construction stage after 1986. With the rapid development of optical communication, optical fiber manufacturing technology and semiconductor laser production technology have matured, which formed the foundation for the subsequent development of doped fibers, optical fiber lasers, and fiber amplifiers.
The tellurite fiber laser is based on a tellurite glass fiber which acts as a gain medium. The first significant characterization of the optical properties of tellurite glass in fiber form was reported in 1994 . In 1997, Mori et al. realized that Er3+-doped tellurite glass fiber could be used for broadband optical amplifiers . Further research on tellurite fiber was initiated worldwide driven by the development of the communication industry. Over the next few years, Japan’s NTT led the research in this field. They fabricated tellurite fiber with a loss of 0.02 dB/m and developed the first erbium-doped tellurite fiber amplifier (EDTFA) module for use in commercial WDM systems . Further subsequent significant contributions to tellurite fiber laser development have been used by several university groups as well as industry-based research institutions including American Corning corporation, Fujitsu and Nippon of Japan, Korea’s ETRI, etc.
Tellurite glass has a broad transmission window in the infrared wavelength range which extends up to 6 μm, a relatively low phonon energy of about 700 cm−1, and high solubility of rare earth ions. It is therefore an excellent host material for constructing single and high repetition frequency fiber lasers. Yao et al. measured the transmission spectrum of 2-mm-thick glass samples after they were immersed in deionized water for 12 days , and the results are shown in Figure 3. There was no obvious change in the transmission spectra, and no hydrated layer was formed at the end face of the tellurite glass, which proves its great resistance to water. Several researchers have studied the reduction of water molecules and hydroxyl groups, in order to further improve the performance of tellurite glass materials used in mid-infrared fiber lasers. Specific test procedures included melting the glass in a dry atmosphere, raw material dehydration, and the use of fluoride  or chloride raw materials , as eliminating hydroxyl groups diminishes loss (at specific wavelengths) and is therefore favorable for the commercialization of tellurite glass fibers.
With the above advantages coupled with excellent thermal stability, tellurite glass preforms could be handled with relative ease for casting [24, 53], drilling , and extrusion techniques , providing precursors for tellurite fiber-based nonlinear optical processing  and fiber lasers.
In 1994, Wang et al. successfully prepared a Nd3+-doped tellurite single-mode fiber for the first time. The numerical aperture of the fiber was determined as 0.21. The laser resonator was formed as a consequence of multiple Fresnel reflection (∼11.9%) from the end surfaces of the fiber. A laser with a wavelength of 0.818 μm was used as the pump source. A laser output with a wavelength of 1.061 μm was obtained from a 0.6 m long fiber, with a laser threshold of ∼27 mW. When only single ended output is considered, the slope efficiency of the laser was 23%, as shown in Figure 4 .
In 1998, Ohishi et al. used a 0.9-m-long Er3+-doped tellurite fiber as the gain medium to construct a ring laser cavity. When the pump power was 300 mW, a continuous tunable laser output covering 1529–1623 nm was obtained using a tunable filter. A 2.4-m-long Er3+-doped tellurite fiber was used as the gain medium to obtain laser output at ∼1624.5 nm, with a slope efficiency of 3.6% as shown in Figure 5 .
In 2011, Dong et al. demonstrated a high-performance Er3+/Ce3+ co-doped tellurite fiber amplifier and tunable fiber laser using a dual-pumping scheme. The short 22 cm fiber exhibits a net gain of 28 dB at 1558 μm, a wide positive net gain bandwidth of 122 μm, and a noise figure of 4.1 dB. As shown in Figure 6, a widely tunable Er3+/Ce3+ co-doped tellurite fiber ring laser with a tuning range of 83 μm was demonstrated .
In 2012, M. Oermann et al. fabricated Er3+-doped tellurite microstructured fibers with three air holes using an extruding method. The resulting fibers are shown in cross section in Figure 7. The core diameter of the fiber was about 1.5 μm, the loss was 1.3 dB/m, and the doping concentration of Er3+ was 0.022 mol %. A 2.2-m-long Er3+-doped tellurite microstructure fiber was used as the gain medium to construct the laser cavity and was pumped using a 976 nm laser source. As shown in Figure 8, its threshold power is only 1.5 mW, and its slope efficiency reaches 13% .
In the same year, Chillcce et al. fabricated an Er3+-doped tellurite microstructured fiber using the stack-and-draw technique. They demonstrated laser emission using a simple double-pump configuration with two sources at 980 μm. The fiber core had a hexagonal structure as shown in Figure 9, the Er2O3 doping concentration was 7500 ppm, and the background loss of the resulting microstructured fiber was 0.2 dB/cm at ∼1117 μm. Two short segments of fiber of 5 and 12 cm generated laser emissions at 1532.3, 1536.3, and 1558.5 μm, as shown in Figure 10. The maximum optical signal-to-noise ratio (OSNR) obtained was 21.2 dB .
In 2014, Yao et al. fabricated microstructured fibers consisting of a solid core surrounded by six air holes using a rod-in-tube method. A maximum unsaturated power of 9 mW laser operating at ∼1872 μm was obtained in a Tm3+-doped 2.8 cm long microstructure fiber with a slope efficiency of ∼ 6.53% and a threshold power of ∼200 mW. The results shown in Figure 11 indicate that the Tm3+-doped tellurite microstructure fiber is a promising material for achieving a compact 2 μm output fiber laser .
In 2015, Meng et al. used a 22-cm-long Tm3+/Ho3+ co-doped tellurite fiber to obtain a continuous laser output with a maximum output power of 8.34 mW and a wavelength of 2065 nm when the pump power was 507 mW, as shown in Figure 12. The slope efficiency was 2.97% .
2.2 Tellurite fiber-based supercontinuum light source
The supercontinuum (SC) light source is defined as a broadband laser source whose output spectrum is greatly broadened through the interaction of nonlinear effects and dispersion when a high peak power pulsed laser output (e.g., a soliton pulse) propagates in nonlinear optical medium. The SC spectra generated in transparent materials do not usually originate from a single nonlinear process—typically the initiated self-phase modulation (SPM) modulates the phase of the input laser, and then other nonlinear effects including cross-phase modulation (XPM), stimulated Raman scattering (SRS), four-wave mixing (FWM), soliton self-frequency shifting (SSFS), etc. broaden the output frequency (wavelength) spectrum . The first observation and application of SC spectra were obtained in solids and liquids [64, 65, 66], but recent investigations and applications of SC light sources have utilized optical fibers including single-mode and microstructured fibers . The latter is a widely used medium due to its unique geometry and low transmission loss that can accumulate the power intensity of pump sources and provide adequate interaction length to facilitate the occurrence of the nonlinear processes. In 2005, half the Nobel Prize in Physics were awarded for the development of optical frequency combs that was generated from the SC coherent light source employing microstructured silica fiber. SC light sources based on silica microstructured fiber with outputs spanning from the ultraviolet to the near infrared spectral regions have been widely commercialized by major optics firms, such as American Corning corporation, Fujitsu and Nippon of Japan, Korea’s ETRI and so on.
The 2–5-μm-mid-infrared region is the typical wavelength range corresponding to the “atmospheric optics window,” the “molecular fingerprint region,” and “strong absorption band of hydroxyl and amino groups.” Therefore, SC light sources in this region offer great possibilities for optical telecommunication, remote sensing, atmospheric pollution monitoring, molecular spectroscopy, medical diagnosis, hyperspectral imaging, laser surgery, and IR opto-electric countermeasures [63, 68], all of which greatly attracted intense worldwide research interest over the past two decades [69, 70, 71]. There are several requirements of nonlinear fibers used for 2–5 μm SC light sources, e.g., they must be transparent within the 2–5 μm window, they must have a relatively high laser damage threshold for potentially high-power light transmission, they should have a high nonlinear refractive index, and they need to be fabricated based on mature processing technology. Silica is not a candidate material for generating SC spectra at wavelengths longer than 2.2 μm, due to its high intrinsic loss and relatively low nonlinear parameters. Alternatively, soft glass fibers, mainly including fluoride, tellurite, and chalcogenide glass fibers, are being investigated to develop SC light sources in the 2–5 μm spectral region and have achieved remarkable progress to date with their broad IR transparency range as well as prominent optical nonlinearity.
Among the soft glass materials investigated, tellurite glass provides many several attractive features for use in high-power SC light sources. These include a broad IR transmission window (0.3–7 μm) that can be matched with fluoride glass while possessing lower intrinsic losses than chalcogenide glass and possessing the highest optical damage threshold than other soft glass materials. Moreover, with outstanding thermal and chemical stability, tellurite glass can be drawn as microstructured fiber from a preform constructed using the rod-in-tube method or extrusion technique. The dispersion profile and nonlinearity of the fabricated fiber can be readily optimized. In the past two decades, much effort has been concentrated on fabricating a microstructured tellurite fiber for SC generation.
Kumar et al. prepared low-loss tellurite microstructured fiber for the first time using an extrusion and rod-in-tube method, whose minimum loss was 2.3 dB/m at 1055 nm . Photographs of the fiber are shown in Figure 13. In such a microstructured fiber with 1.02 m length, they studied the stimulated Raman scattering generation pumped using a 1064 nm pulsed laser.
In 2008, Domachuk et al. generated a SC spectrum with a broad bandwidth covering the spectral range 789–4870 nm in tellurite microstructured fiber pumped using a1550 nm pulsed laser . As shown in Figure 14, the fiber core was surrounded by six large diameter air holes to achieve strong light confinement, and the calculated nonlinear waveguide coefficient at 1550 nm was 596 km−1 W−1, which broadened the SC spectrum spanning two and a half optical octaves in the fiber having only a length 0.8. Such a short fiber length results in flatter SC spectra, lower dispersion, and reduced material absorption at longer wavelengths.
In 2008, Feng et al. fabricated a large-mode-area tellurite holey fiber from an extruded preform, with a core diameter of ∼80 μm, attenuation of 2.9 dB/m at 1.55 μm, and zero-dispersion wavelength (ZDW) at 2.15 μm (Figure 15) . Using such microstructured fiber with a 9 cm length, a broadband SC spanning of 0.9–2.5 μm was achieved.
In 2009, Liao et al. fabricated the hexagonal core fiber (Figure 16) for the first time . They studied the SC generation in such a fiber of 6 cm length pumped by a 1557 nm femtosecond laser and with a 30-cm-long fiber pumped using a 1064 nm picosecond fiber laser. Additionally, they demonstrated that the holey region has an important influence on the dispersion, nonlinear coefficient, and SC generation.
In 2010, a 36-cm-length tellurite microstructured fiber with four holes  was used to generate a flattened SC spectrum spanning from 900 to 2800 nm (Figure 17) and was pumped using a 1550 nm pulsed laser. The calculated nonlinear coefficient at 1550 nm was 539 km−1 W−1 .
In 2012, Savelii et al. prepared a low-loss suspended-core tellurite fiber, from which they generated a 0.75–2.8 μm SC spectrum when pumped at 1745 nm . And in 2015, Belal et al. generated SC spectra extending to 3 μm in a suspended-core tellurite fiber. Their numerical study show that the structure of the fiber can have a significant impact on the dispersion profile and hence the nonlinear processes and SC broadening .
In 2013, Klimczak et al. reported a breakthrough in the design of optical fiber transverse structure. They produced a novel, regular hexagonal-lattice tellurite photonic crystal fiber (PCF) as shown in Figure 18 . Pumping the 2-cm-long PCF with 150 fs/36 nJ/1580 nm pulses, they achieved an output of 800–2500 nm SC spectrum that is comparable to that generated in suspended-core tellurite PCF pumped at wavelengths over 1800 nm.
Yao et al. proposed a novel fluorotellurite fiber with the composition 65TeO2-25BaF2-10Y2O3 (TBY) ; the authors claimed further improvement in the performance of tellurite fiber-based MIR laser sources. BaF2 was included for the purpose of reducing the OH▬ content, and the introduction of Y2O3 was for better thermal stability in fiber drawing process as well as providing a higher glass transition temperature raised by the high melting temperature of Y2O3. In 2016, Wang et al. achieved SC generation extending from 0.47 μm to 2.77 μm (zero-dispersion wavelength at 1730 nm) using a tapered TeO2-BaF2-Y2O3 (TBY)-based microstructured fiber whose core was surrounded by six air holes .
Tellurite microstructured fibers with dispersion modification and nonlinear coefficient enhancement have been widely studied and applied for SC generation, and significant progress has been achieved over the last 10 years. However, the air holes present in microstructured fibers readily accommodate moisture and dust particles from the atmosphere, which lead to incremental losses, which act to deteriorate the SC output. In addition, the performance of tellurite microstructured fiber for high-power output in the mid-IR SC is not satisfactory, because the thermal conductivity of the air holes and the core of microstructure fiber greatly differ, and hence means that heat dissipation is a significant problem of high-power light transmission in the fiber. Solid-state tellurite fibers (comprising a solid core and cladding with no air holes) have therefore become the nonlinear medium of choice for high-power mid-infrared SC light sources .
Hydroxyl ions have deleterious broad absorption peaks centered at ∼3.3 μm and ∼4.3 μm, which hinder the tellurite fiber from extending its spectrum to the multi-phonon edge (5 μm). In 2013, Thapa et al. of NP Photonics Incorporation developed ultra-low-loss solid-core tellurite fibers which eliminate almost all molecular species, especially hydroxyl ions . Using a 1922-nm all-fiber-based mode-locked fiber laser oscillator, a 1–5 μm SC spectrum shown in Figure 19b was generated in a tellurite fiber with a W-type (Figure 19a) index profile for strong light confinement, and the ZDW shifted from 2.5 μm to ∼1.9 μm. It was argued that the broadened anti-Stokes wavelength portion originated from self-phase modulation (SPM) and the long wavelength portion with increased power originated from the generation of a Raman soliton because of the self-frequency Raman shift. In the same year, Savelii et al. reported SC generation extending from 840 nm to 3000 nm in a low-loss suspended-core tellurite fiber with different lengths (Figure 20), pumped at its anomalous dispersion regime at 1745 nm . It was found that the introduction of fluoride ions into the tellurite glass reduced the OH▬ content and resulted in a fiber that was still transparent at 4.1 μm.
The W-type index profile makes it possible to tailor the ZDW, and this fiber can be fusion spliced to robust step-index silica fiber with relative ease. In 2016 Kedenburg et al. studied SC generation spanning 2.6–4.6 μm in low-loss W-type index tellurite fiber with a length of 15 cm . Additionally, they studied the variation of spectral bandwidth with core diameter, pump wavelength, length of fibers, and pump power. In 2017, Kedenburg et al. studied the effects of the core size, pump wavelength, and fiber length on SC generation in a robust step-index tellurite fiber, and they achieved broadband SC generation spanning 1.3–5.3 μm in the fiber with a length of 9 cm and a core diameter of 3.5 μm, when pumped using a 2.4 μm femtosecond pulsed laser .
In 2016, Shi et al. prepared a solid-state tellurite optical fiber with a numerical aperture (NA) of 0.21 and a core diameter of 12 μm . Figure 21(a) shows a micrograph of the end face of the fiber. They studied the SC generation in the fiber which was 0.8 m-in length. Figure 21(b) shows the spectrum of the pump laser and SC output in the fiber when different pump powers were used. When the pump power was 9.8 W, the power spectral density of the SC spectrum in the wavelength range of 1975–3000 nm is above 5 dBm/nm. In this investigation, the maximum output power of the SC light source was 5.1 W, and the power of the spectrum at wavelengths longer than 2.5 μm was about 2.1 W.
In 2017 Jia et al. obtained a stable 4.5 W SC output spanning 1017–3438 nm, using a TBY-based 60-cm-long all-solid fluorotellurite fiber fabricated using the rod-in-tube method. The fiber was pumped using a 2 μm femtosecond fiber 10.48 W output power laser and thus demonstrated the capability of all-solid fluorotellurite fibers for use as high-power mid-IR SC light sources . The same authors used a tapered all-solid fluorotellurite fiber with ultra-high NA to generate an SC output spectrum covering the entire 0.4–5 μm transmission window and pumped using a 1560-nm mode-locked fiber laser . Yao et al. achieved stable 10.4 W SC generation in the wavelength ranging from 947 to 3934 nm from a TBY-based all-solid fluorotellurite fiber when pumped using a high-power 1980 nm femtosecond fiber laser ; when the average pump power was increased to 1.1 W, large spectral broadening occurred as shown in Figure 22(a). Because the fiber was pumped at anomalous dispersion regime, the spectral broadening for a pump power of ≥1.1 W originated from the SPM, the formation of higher-order soliton, soliton fission, soliton self-frequency shift (SSFS), and the generation of blue-shifted dispersive waves. The average output power of the SC laser source increases linearly with the average pump power (Figure 22(b)), and the corresponding optical-to-optical conversion efficiency was measured to be as high as 65%. The successful achievement of a 10 W output power level represented a significant breakthrough in all-solid fluorotellurite fiber, demonstrating its bright future for high-power MIR SC light sources.
3. Tellurite glass-based microcavity lasers
3.1 Experimental preparation of tellurite glass microcavities
Over the past few decades, research interest in microsphere resonators has grown rapidly. For a microsphere resonator, the pump light can be coupled into the microsphere through a tapered optical fiber or via free space. Most current microsphere resonators are fabricated from the silica optical fiber, but it is also possible to fabricate microsphere resonators from compound glass materials (such as tellurite glass) other than silica. At present, the principal method used for making microsphere cavities is based on melting of the glass materials, which uses the surface tension of molten glass to form the microsphere when suspended at the tip of a fiber. There are two common methods for the preparation of tellurite glass microsphere cavities, one is to melt glass fiber and the other is a powder floating method.
3.1.1 Melting glass fiber method
Most glass microsphere cavities are prepared using a CO2 laser, arc discharge, or high temperature ceramics to melt glass fibers. These methods have also been widely applied for fabricating tellurite glass microsphere cavities and other compound glass microsphere cavities resulting in a good shape and high Q factor. The fabrication method using a CO2 laser is described here.
A schematic diagram of the experimental setup for manufacturing a microsphere resonator is shown in Figure 23. The main positioning and alignment instrument used in the experiment was a precision three-dimensional (3D) translation stage, a continuous CO2 laser with an output wavelength of 10.6 μm, and a ZnSe lens for focusing. The experimental step for fabricating the tellurite microsphere resonator was divided into three stages. In the first step, the tellurite fiber was mounted vertically on the 3D translation stage and a weight hung at the end of the fiber. The ZnSe lens was used to focus the laser beam on the tip of the tellurite fiber, causing it to absorb the incident light which resulted in a temperature rise. The glass softened and gradually stretched into a tapered fiber under the influence of the weight. The heating was terminated when the waist diameter of the tapered fiber reached around 30 μm. In the second step, the tapered fiber was accurately cleaved at the waist region to obtain a half-tapered fiber. In the third step, using a ZnSe lens once more to focus the laser beam on the end of the half-tapered fiber, the tellurite microsphere was formed at the fiber end due to the surface tension acting on the molten glass. A microscope image of a tellurite microspheres fabricated in this manner is shown in Figure 24.
Although the resulting microsphere cavity made of molten glass fiber includes a glass fiber attached at a pole of the sphere, the light field is mainly concentrated around the equatorial plane of the microsphere cavity, and hence the loss induced by the fiber to the whispering gallery mode (WGM) resonance is negligible [89, 90]. In general, the fiber rods are only used to hold the microspheres in place and to facilitate light coupling. However, in recent years, some other uses of fiber rods have attracted increasing attention. In 2017, Murphy et al.  reported an alternative method for precise coupling control using the fiber rod. In the experiment, 980 nm laser light was input into the fiber rod, and the coupling distance between the microsphere cavity and the tapered fiber was precisely controlled by heating the connection between the microsphere and the fiber rod using the 980 nm laser. The adjustment range of microsphere cavity position was from 0.61 ± 0.13 μm to 3.49 ± 0.13 μm.
3.1.2 Powder floating method
The previously mentioned method for fabricating tellurite glass microspheres was only capable of producing one microsphere at a time, and the powder floating represents an alternative method for preparing glass microspheres in large quantities. In this method, the tellurite glass was ground into powder and poured into a high temperature furnace, which was placed vertically with a proper protective gas (nitrogen or inert gas) from the bottom to top. The tellurite glass powder melts and forms into microspheres due to surface tension at high temperature. In addition, the protective gas reduced the falling speed of the glass powder and increased the exposure time of the powder to the high temperature in the furnace. Additionally, the method isolates the glass powder from the atmosphere . For some glass materials with less stringent experimental requirements, the microspheres can be formed without the use of protective gas .
Tellurite microspheres prepared using this method have no attached fiber rods, which is different from melting glass fiber or sol-gel methods. Using the powdered method, a large number of microspheres with different diameters can be prepared simultaneously, which is beneficial to the selection of experimental size and enables the integration and commercialization of the microsphere laser on a mass produced basis. Figure 25 is a schematic diagram of fabrication of microspheres, and Figure 26 is a microscope image of the microspheres fabricated using the powder floating method.
3.2 Tellurite glass microsphere lasers
Tellurite glass has emerged as a promising material for use in microsphere resonators in the near infrared wavelength region and tellurite glass microsphere lasers have been widely reported. In 2002, Sasagawa et al. reported continuous-wave oscillation in an Nd3+-doped tellurite glass microsphere laser at 1.06 μm for the first time . Tellurite glass microspheres with diameters in the range of 50 μm to a few hundred micrometers were fabricated by melting using a Kanthal wire heater. Resonances were excited in the microsphere pumped using a 800 nm laser, the threshold of the output laser was measured as 81 mW, and the emission spectrum is shown in Figure 27.
Later in 2005, an Er3+-doped tellurite glass microsphere laser was reported by Peng et al. . The threshold of 1561 nm microsphere laser with 0.5 wt% Er2O3 doped was measured to be as low as 1.4 mW, and the maximum output power achieves 124.5 μW. Figure 28 shows the relationship between the output laser power and the 1480 nm pump power.
The output wavelength of the laser around 1.9 μm, and 1.47 μm band is generated from the transition of Tm3+ ions: 3F4 → 3H6 and 3H4 → 3F4 . Wu et al. proposed a microcavity laser based on a Tm3+-doped tellurite glass microsphere at 1.9 μm . However, there are two problems in realizing a laser at the wavelength 1.47 μm. Firstly, the lifetime of the 3H4 level is shorter than that of the 3F4 level in Tm3+ ions, so the transition is sometimes described as self-terminating . Secondly, the glass host material should have very low phonon energy, as in the case of silica and phosphate glass lasers, and amplification is essential. Tellurite and other heavy metal fluoride glasses have been considered as key materials for thulium-doped fiber amplifier operation in the S band, mainly due to their lower phonon energies (∼580 cm−1) . In 2004, Sasagawa et al. solved the population inversion problem in Tm3+ ions and realized a cascade laser with output wavelengths in the 1.47 μm and 1.9 μm bands using a tellurite glass microsphere . The output spectrum of the Tm3+-doped tellurite glass laser is shown in Figure 29, which shows the laser emission in the S band and at 1.9 μm. The average output power is plotted as a function of the average pump power in Figure 30. The threshold of the laser in the S band is 4.6 mW, while the thresholds measured for 1.9 μm are 3.0 mW and 4.8 mW, respectively. The differential quantum efficiency in the S band and at 1.9 μm were calculated as 1.4% and 1.1% for bidirectional lasing.
In 2019 , Li et al. fabricated Tm3+-Ho3+ co-doped tellurite glass samples to solve the problem of the population inversion and obtained a 1.47 μm output using a tellurite glass microsphere laser. Figure 31(a) shows the output spectrum at 1.47 μm of Tm3+-Ho3+ co-doped tellurite glass microspheres when pumped using a 802 nm laser source. It is clear from Figure 31(b) that the lifetime of 3F4 energy level is attenuated through the energy transfer process in Tm3+-Ho3+ co-doped tellurite glass. The Tm3+ ions are excited from 3F4 to the 3H4 energy level by the 802 nm pump laser, and the lifetime of Tm3+-doped and Tm3+-Ho3+ co-doped material are shown in Figure 32. The emission process originates from the Tm3+: 3H4 → 3F4 transition, and the energy transfer efficiency of the Tm3+: 3F4 level to Ho3+: 5I7 level is 34.9% in Tm3+-Ho3+ co-doped tellurite glass sample.
The last two decades have witnessed significant progress of tellurite fiber-based SC light sources, whose original progress was primarily implemented through the development of microstructured and all-solid fiber devices. The microstructured fiber demonstrated greater flexibility in tailoring the dispersion profile than the all-solid version, which provided greater options for using different pump sources, producing higher coherence. In the case of high-power output and stable MIR SC generation, the all-solid tellurite fiber performed much better than the microstructured one, and hence the fluorotellurite fiber is a promising candidate for high-power Mid-IR laser emission. Potentially this technology could be expected to reach the hundred-watt output level even after losses with careful design for heat management, fiber structure, and pump parameter optimization.
Tellurite glass microsphere resonators have overcome the limitations associated with traditional resonators in terms of glass materials. In the future, it is envisaged that tellurite glass microsphere resonators will have wide-ranging applications in photonics, having a high Q value and fast response. Meanwhile, doping rare earth ions in different host materials is expected to achieve higher-power output and more efficient lasers accessing different wavelength ranges, most notably in the infrared band.
Stanworth JE. Tellurite glasses. Nature. 1952; 169:581-582
Xing Z, Liu X, Gao S, Zhang Y, Liao M. ~3 μm fluorescence behavior of Ho3+ doped transparent tellurite glass ceramics. Journal of Luminescence. 2019; 215:116562
Li A, Li W, Zhang M, Zhang Y, Wang S, Yang A, et al. Tm3+-Ho3+ codoped tellurite glass microsphere laser in the 1.47 μm wavelength region. Optics Letters. 2019; 44:511-513
Li A, Dong Y, Wang S, Jia S, Brambilla G, Wang P. Infrared-laser and upconversion luminescence in Ho3+-Yb3+ codoped tellurite glass microsphere. Journal of Luminescence. 2020; 218:116826
Berzelius J. Tellurite glasses. Annal. Physike Chemie. 1834; 32:577
Lambson E, Saunders G, Bridge B, El-Mallawany R. The elastic behaviour of TeO2 glass under uniaxial and hydrostatic pressure. Journal of Non-Crystalline Solids. 1984; 69:117-133
El-Mallawany R. The optical properties of tellurite glasses. Journal of Applied Physics. 1992; 72:1774-1777
Westman A, Crowther J. Constitution of soluble phosphate glasses. Journal of the American Ceramic Society. 1954; 37:420-427
El-Mallawany R. Tellurite glasses part 1. Elastic properties. Materials Chemistry & Physics. 1998; 53:93-120
El-Mallawany R. Structural and vibrational investigations of thermal properties of tellurite glasses. Journal of Materials Research. 1992; 7:224-228
Liu J, Xiao Y, Huang S, Mao L, Wang W, Zhang Q. The glass-forming region and 2.7 μm emission of Er3+-doped TeO2−Ta2O5−ZnO tellurite glass. Journal of Non-Crystalline Solids. 2019; 522:119564
Wang J, Vogel E, Snitzer E. Tellurite glass: A new candidate for fiber devices. Optical Materials. 1994; 3:187-203
Mori A, Ohishi Y, Sudo S. Erbium-doped tellurite glass fibre laser and amplifier. Electronics Letters. 1997; 33:863-864
El-Mallawany RA. Tellurite Glasses Handbook: Physical Properties and Data. Boca Raton, Florida, USA: Taylor & Francis; 2011
Yakhkind A. Tellurite glasses. Journal of the American Ceramic Society. 1966; 49:670-675
Jha A, Richards B, Jose G, Teddy-Fernandez T, Joshi P, Jiang X, et al. Rare-earth ion doped TeO2 and GeO2 glasses as laser materials. Progress in Materials Science. 2012; 57:1426-1491
Vetrone F, Boyer J-C, Capobianco JA, Speghini A, Bettinelli M. 980 nm excited upconversion in an Er-doped ZnO–TeO2 glass. Applied Physics Letters. 2002; 80:1752-1754
Weber MJ, Myers JD, Blackburn DH. Optical properties of Nd3+ in tellurite and phosphotellurite glasses. Journal of Applied Physics. 1981; 52:2944-2949
Manikandan N, Ryasnyanskiy A, Toulouse J. Thermal and optical properties of TeO2–ZnO–BaO glasses. Journal of Non-Crystalline Solids. 2012; 358:947-951
Froidevaux P, Lemière A, Kibler B, Désévédavy F, Mathey P, Gadret G, et al. Specialty Optical Fibers. Zurich, Switzerland: Optical Society of America; 2018. p. SoTh3H. 4
Yong D, Shibin J, Bor-Chyuan H. Spectral properties of erbium-doped lead haloellurite glasses for 1.5 μm broadband amplification. Optical Materials. 2000; 15:123
Savelii I. Fibres optiques à coeur supendu en verre d’oxyde de tellure et génération d’effets non linéaires dans l'infrarouge au-delà de 2 microns. Autre. Université de Bourgogne; 2012 [Français]
Lei Y, Ren F, Mei Y, Gao C, Zhu L, Lu A. Judd-Ofelt analysis and improvement in thermal stability and optical properties of Er3+ doped TeO2–ZnO–Na2O–B2O3–GeO2 glasses. Materials Research Innovations. 2014; 18:259-266
Moiseev A, Dorofeev V, Chilyasov A, Kraev I, Churbanov M, Kotereva T, et al. Production and properties of high purity TeO2–ZnO–Na2O–Bi2O3 and TeO2–WO3–La2O3–MoO3 glasses. Optical Materials. 2011; 33:1858-1861
Lakshminarayana G, Qiu J, Brik M, Kumar G, Kityk I. Spectral analysis of Er3+-, Er3+/Yb3+- and Er3+/Tm3+/Yb3+-doped TeO2–ZnO–WO3–TiO2–Na2O glasses. Journal of Physics: Condensed Matter. 2008; 20:375101
Mazurier F, Levy M, Souquet J. Reversible and irreversible electrical switching in TeO2-V2O5 based glasses. Le Journal de Physique IV. 1992; 2:C2-185-C182-188
Dai S, Wu J, Zhang J, Wang G, Jiang Z. The spectroscopic properties of Er3+-doped TeO2-Nb2O5 glasses with high mechanical strength performance. Spectrochimica Acta Part A: Molecular Biomolecular Spectroscopy. 2005; 62:431-437
Kashchieva E, Pankova M, Dimitriev Y. Liquid phase separation in the systems TeO2-B2O3-M2O3 (M2O3 = Al2O3, Ga2O3, Sc2O3, La2O3, Bi2O3). Ceramics-Silikáty. 2001; 45:111-114
Kamalaker V, Upender G, Ramesh C, Mouli VC. Raman spectroscopy, thermal and optical properties of TeO2–ZnO–Nb2O5–Nd2O3 glasses. Spectrochimica Acta Part A: Molecular Biomolecular Spectroscopy. 2012; 89:149-154
Shen S, Naftaly M, Jha A. Tungsten–tellurite—A host glass for broadband EDFA. Optics Communications. 2002; 205:101-105
Dimitriev Y, Dimitrov V, Arnaudov M. IR spectra and structures of tellurite glasses. Journal of Materials Science. 1983; 18:1353-1358
Sakida S, Hayakawa S, Yoko T. Part 2. 125TeNMR study of M2O–TeO2 (M = Li, Na, K, Rb and Cs) glasses. Journal of Non-Crystalline Solids. 1999; 243:1-12
Sennaroglu A, Kabalci I, Kurt A, Demirbas U, Ozen G. Spectroscopic properties of Tm3+: TeO2–PbF2 glasses. Journal of Luminescence. 2006; 116:79-86
Zhou D, Wang R, Yang Z, Song Z, Yin Z, Qiu J. Spectroscopic properties of Tm3+ doped TeO2-R2O-La2O3 glasses for 1.47 μm optical amplifiers. Journal of Non-Crystalline Solids. 2011; 357:2409-2412
Elkhoshkhany N, Abbas R, El-Mallawany R, Fraih A. Optical properties of quaternary TeO2–ZnO–Nb2O5–Gd2O3 glasses. Ceramics International. 2014; 40:14477-14481
Neov S, Kozhukharov V, Gerasimova I, Krezhov K, Sidzhimov B. A model for structural recombination in tellurite glasses. Journal of Physics C: Solid State Physics. 1979; 12:2475
Jha A, Richards BDO, Jose G, Toney Fernandez T, Hill CJ, Lousteau J, et al. Review on structural, thermal, optical and spectroscopic properties of tellurium oxide based glasses for fibre optic and waveguide applications. International Materials Reviews. 2012; 57:357-382
Tatsumisago M, Lee S-K, Minami T, Kowada Y. Raman spectra of TeO2-based glasses and glassy liquids: Local structure change with temperature in relation to fragility of liquid. Journal of Non-Crystalline Solids. 1994; 177:0-163
Sekiya T, Mochida N, Ohtsuka A, Tonokawa M. Normal vibrations of two polymorphic forms of TeO2 crystals and assignments of Raman peaks of pure TeO2 glass. Journal of the Ceramic Society of Japan. 1989; 97:1435-1440
Zhou B, Rapp CF, Driver JK, Myers MJ, Myers JD, Goldstein J, et al. Oxide-based Materials and Devices IV. Vol. 8626. San Francisco, California, USA: International Society for Optics and Photonics; 2013. p. 86261F
Kaur A, Khanna A, Sathe VG, Gonzalez F, Ortiz B. Optical, thermal, and structural properties of Nb2O5–TeO2 and WO3–TeO2 glasses. Phase Transitions. 2013; 86:598-619
Souri D, Salehizadeh SA. Glass transition, fragility, and structural features of amorphous nickel–tellurate–vanadate samples. Journal of Thermal Analysis Calorimetry. 2013; 112:689-695
Aida K, Komatsu T, Dimitrov V. Thermal stability, electronic polarisability and optical basicity of ternary tellurite glasses. Physics Chemistry of Glasses. 2001; 42:103-111
Ohishi Y. Optical Components and Materials IV. Vol. 6469. International Society for Optics and Photonics; 2007. p. 646908
Mohamed E, Ahmad F, Aly K. Effect of lithium addition on thermal and optical properties of zinc–tellurite glass. Journal of Alloys & Compounds. 2012; 538:230-236
Maiman TH. The Laser Inventor: Memoirs of Theodore H. Maiman. Cham: Springer International Publishing; 2018. pp. 279-280
Javan A, Bennett WR, Herriott DR. Population inversion and continuous optical maser oscillation in a gas discharge containing a He-Ne mixture. Physical Review Letters. 1961; 6:106-110
Hall RN, Fenner GE, Kingsley JD, Soltys TJ, Carlson RO. Coherent light emission from GaAs junctions. Physical Review Letters. 1962; 9:366-368
Koester CJ, Snitzer E. Amplification in a fiber laser. Applied Optics. 1964; 3:1182-1186
Kao KC, Hockham GA. In: Brown J, editor. Electromagnetic Wave Theory. Pergamon; 1967. pp. 441-444
Kawanishi S, Takara H, Uchiyama K, Shake I, Mori K. 3 Tbit/s (160 Gbit/s× 19 ch) OTDM/WDM transmission experiment. In: Optical Fiber Communication Conference (OFC); San Diego, California United States. 1999
Yao C, Jia Z, Li Z, Jia S, Zhao Z, Zhang L, et al. High-power mid-infrared supercontinuum laser source using fluorotellurite fiber. Optica. 2018; 5:1264-1270
Feng X, Shi J, Segura M, White NM, Kannan P, Loh WH, et al. Halo-tellurite glass fiber with low OH content for 2-5μm mid-infrared nonlinear applications. Optics Express. 2013; 21:18949
Savelii I, Desevedavy F, Jules J-C, Gadret G, Fatome J, Kibler B, et al. Management of OH absorption in tellurite optical fibers and related supercontinuum generation. Optical Materials. 2013; 35:1595-1599
Ebendorff-Heidepriem H, Kuan K, Oermann MR, Knight K, Monro TM. Extruded tellurite glass and fibers with low OH content for mid-infrared applications. Optical Materials Express. 2012; 2:432
Wei C, Zhu X, Norwood RA, Song F, Peyghambarian N. Numerical investigation on high power mid-infrared supercontinuum fiber lasers pumped at 3 μm. Optics Express. 2013; 21:29488
Ohishi Y, Mori A, Yamada M, Ono H, Nishida Y, Oikawa K. Gain characteristics of tellurite-based erbium-doped fiber amplifiers for 1.5-μm broadband amplification. Optics Letters. 1998; 23:274-276
Dong J, Wei YQ, Wonfor A, Penty RV, White IH, Lousteau J, et al. Dual-pumped tellurite fiber amplifier and tunable laser using Er/Ce codoping scheme. IEEE Photonics Technology Letters. 2011; 23:736-738
Oermann MR, Ebendorff-Heidepriem H, Ottaway DJ, Lancaster DG, Monro TM. Extruded microstructured fiber lasers. IEEE Photonics Technology Letters. 2012; 24:578-580
Chillcce EF, Narro-García R, Menezes JW, Rodriguez E, Marconi JD, Fragnito HL, et al. National Fiber Optic Engineers Conference. Los Angeles, California: Optical Society of America; 2012. p. JW2A.27
Chuan-fei Y, Zhi-xu J, Shun-bin W. Tm3+ doped tellurite microstructure fiber laser. Chinese Journal of Luminescence. 2014; 35:1109-1113
Xiang-wei M, Chuan-fei Y, Shan-de W. Tm3+/Ho3+ co-doped tellurite microstructure fiber lasers. Chinese Journal of Luminescence. 2015; 36:94-98
Alfano RR. The Supercontinuum Laser Source: The Ultimate White Light. Springer; 2016
Alfano RR, Shapiro SL. Emission in the region 4000 to 7000 Å via four-photon coupling in glass. Physical Review Letters. 1970; 24:584-587
Alfano RR, Shapiro SL. Observation of self-phase modulation and small scale filaments in crystals and glasses. Physical Review Letters. 1970; 24:592-594
Alfano RR, Shapiro SL. Picosecond spectroscopy using the inverse Raman effect. Chemical Physics Letters. 1971; 8:631-633
Dudley JM, Genty G, Coen S. Supercontinuum generation in photonic crystal fiber. Reviews of Modern Physics. 2006; 78:1135-1184
Dudley JM, Taylor JR. Cambridge CB2 1TN, UK: Cambridge University Press; 2010
Huang D, Swanson EA, Lin CP, Schuman JS, Stinson WG, Chang W, et al. Optical coherence tomography. Science. 1991; 254:1178
Hartl I, Li XD, Chudoba C, Ghanta RK, Ko TH, Fujimoto JG, et al. Ultrahigh-resolution optical coherence tomography using continuum generation in an air–silica microstructure optical fiber. Optics Letters. 2001; 26:608-610
Brown DM, Shi K, Liu Z, Philbrick CR. Long-path supercontinuum absorption spectroscopy for measurement of atmospheric constituents. Optics Express. 2008; 16:8457-8471
Kumar VVRK, George AK, Knight JC, Russell PSJ. Tellurite photonic crystal fiber. Optics Express. 2003; 11:2641-2645
Domachuk P, Wolchover NA, Cronin-Golomb M, Wang A, George AK, Cordeiro CMB, et al. Over 4000 nm bandwidth of mid-IR supercontinuum generation in sub-centimeter segments of highly nonlinear tellurite PCFs. Optics Express. 2008; 16:7161-7168
Feng X, Loh WH, Flanagan JC, Camerlingo A, Dasgupta S, Petropoulos P, et al. Single-mode tellurite glass holey fiber with extremely large mode area for infrared nonlinear applications. Optics Express. 2008; 16:13651-13656
Liao M, Chaudhari C, Qin G, Yan X, Suzuki T, Ohishi Y. Tellurite microstructure fibers with small hexagonal core for supercontinuum generation. Optics Express. 2009; 17:12174-12182
Qin G, Yan X, Kito C, Liao M, Suzuki T, Mori A, et al. Highly nonlinear tellurite microstructured fibers for broadband wavelength conversion and flattened supercontinuum generation. Journal of Applied Physics. 2010; 107:043108
Savelli I, Mouawad O, Fatome J, Kibler B, Désévédavy F, Gadret G, et al. Mid-infrared 2000-nm bandwidth supercontinuum generation in suspended-core microstructured. Optics Express. 2012; 20:27083-27093
Belal M, Xu L, Horak P, Shen L, Feng X, Ettabib M, et al. Sulfide and tellurite optical fibers. Optics Letters. 2015; 40:2237-2240
Klimczak M, Stepniewski G, Bookey H, Szolno A, Stepien R, Pysz D, et al. Mid-infrared supercontinuum generation in suspended core tellurite microstructured optical fibers. Optics Letters. 2013; 38:4679-4682
Yao C, He C, Jia Z, Wang S, Qin G, Ohishi Y, et al. Holmium-doped fluorotellurite microstructured fibers for 2.1 μm lasing. Optics Letters. 2015; 40:4695-4698
Wang F, Wang K, Yao C, Jia Z, Wang S, Wu C, et al. Tapered fluorotellurite microstructured fibers for broadband supercontinuum generation. Optics Letters. 2016; 41:634-637
Price JHV, Feng X, Heidt AM, Brambilla G, Horak P, Poletti F, et al. Supercontinuum generation in non-silica fibers. Optical Fiber Technology. 2012; 18:327-344
Thapa R, Rhonehouse D, Nguyen D, Wiersma K, Smith C, Zong J, et al. SPIE. 2013; 8898:889808:1-8
Kedenburg S, Steinle T, Mörz F, Steinmann A, Nguyen D, Rhonehouse D, et al. Solitonic supercontinuum of femtosecond mid-IR pulses in W-type index tellurite fibers with two zero dispersion wavelengths. APL Photonics. 2016; 1:086101
Kedenburg S, Strutynski C, Kibler B, Froidevaux P, Désévédavy F, Gadret G, et al. High repetition rate mid-infrared supercontinuum generation from 1.3 to 5.3 μm in robust step-index tellurite fibers. Journal of the Optical Society of America B. 2017; 34:601-607
Shi H, Feng X, Tan F, Wang P, Wang P. Multi-watt mid-infrared supercontinuum generated from a dehydrated large-core tellurite glass fiber. Optical Materials Express. 2016; 6:3967-3976
Jia Z, Yao C, Jia S, Wang F, Wang S, Zhao Z, et al. 4.5 W supercontinuum generation from 1017 to 3438 nm in an all-solid fluorotellurite fiber. Applied Physics Letters. 2017; 110:261106
Jia ZX, Yao CF, Jia SJ, Wang F, Wang SB, Zhao ZP, et al. Supercontinuum generation covering the entire 0.4–5 μm transmission window in a tapered ultra-high numerical aperture all-solid fluorotellurite fiber. Laser Physics Letters. 2018; 15:025102
Zou C-L, Shu F-J, Sun F-W, Gong Z-J, Han Z-F, Guo G-C. Theory of free space coupling to high-Q whispering gallery modes. Optics Express. 2013; 21:9982-9995
Little BE, Laine J-P, Haus HA. Analytic theory of coupling from tapered fibers and half-blocks into microsphere resonators. Journal of Lightwave Technology. 1999; 17:704
Murphy RM, Lei F, Ward JM, Yang Y, Chormaic SN. Bandpass transmission spectra of a whispering gallery microcavity coupled to an ultrathin fiber. Optics Express. 2017; 25:13101-13106
Yu J, Lewis E, Farrell G, Wang P. Compound glass microsphere resonator devices. Micromachines. 2018; 9:356
Yang Z, Wu Y, Zhang X, Zhang W, Xu P, Dai S. Low temperature fabrication of chalcogenide microsphere resonators for thermal sensing. IEEE Photonics Technology Letters. 2016; 29:66-69
Yang Z, Wu Y, Yang K, Xu P, Zhang W, Dai S, et al. Fabrication and characterization of Tm3+-Ho3+ co-doped tellurite glass microsphere lasers operating at ∼2.1 μm. Optical Materials. 2017; 72:524-528
Yu J, Lewis E, Brambilla G, Wang P. Temperature sensing performance of microsphere resonators. Sensors. 2018; 18:2515
Sasagawa K, Kusawake K, Ohta J, Nunoshita M. Nd-doped tellurite glass microsphere laser. Electronics Letters. 2002; 38:1355-1357
Peng X, Song F, Gonokami MK, Jiang S, Peyghambarian NN. Er3+-doped tellurite glass microsphere laser: Optical properties, coupling scheme, and lasing characteristics. Optical Engineering. 2005; 44:034202
Zhao H, Yi Y, Wang X, Li A, Yang A, Yang Z, et al. Triple-wavelength lasing at 1.50 μm, 1.84 μm and 2.08 μm in a Ho3+/Tm3+ co-doped fluorozirconate glass microsphere. Journal of Luminescence. 2019:116889
Wu J, Jiang S, Qiu T, Morrell M, Schulzgen A, Peyghambarian N. Optical Components and Materials II. Vol. 38. International Society for Optics and Photonics; 2015. pp. 1355-1357
Percival R, Szebesta D, Williams J, Lauder R, Tropper A, Hanna D. Diode pumped operation of thulium doped fluoride fibre amplifier suitable for first window systems. Electronics Letters. 1994; 30:1598-1599
Sasagawa K, Yonezawa Z-O, Iwai R, Ohta J, Nunoshita M. S-band Tm3+-doped tellurite glass microsphere laser via a cascade process. Applied Physics Letters. 2004; 85:4325-4327