Historical review of Si-based modulators from recent years
Abstract
The ultrafast nonlinear optical Kerr switch with Si quantum-dot (Si-QD) doped in amorphous a-SiC (a-SiC:Si-QD) micro-ring resonator is demonstrated. The optical nonlinearity of a-SiC can be significantly enhanced due to the enlarged oscillation strength of localized excitons in the Si-QD. The nonlinear refractive index and two-photon absorption (TPA) coefficient of a-SiC:Si-QD at 800 nm obtained from Z-scan measurements are 1.83 × 10–11 cm2/W and 4.6 × 10–6 cm/W, respectively. Although the TPA effect is severed at 800 nm, the TPA effect can be significantly suppressed by setting the operation wavelength at 1550 nm due to the small photon energy. Such a property is very important to analyze the nonlinear Kerr switch at telecommunication wavelengths without interfering with the two-photon absorption and free-carrier absorption effect. By injecting a pump pulsed laser with peak power of 3 W into the a-SiC:Si-QD micro-ring resonator at resonance condition, the transmission spectrum is dynamically red-shifted by 0.07 nm due to the nonlinear Kerr effect. By properly setting the probe wavelength at on-resonance and off-resonance of the a-SiC:Si-QD micro-ring resonator, the probe beam can be directly and inversely modulated by the injected pump source. Furthermore, the all-optical nonlinear Kerr switch delivering non-return-to-zero on-off-keying (NRZ-OOK) data format with bit-rate of 12 Gbit/s has been successfully demonstrated by using the a-SiC:Si-QD micro-ring resonator.
Keywords
- Silicon carbide
- Silicon quantum dot
- Nonlinear Kerr effect
- All-optical modulation
1. Introduction
1.1. Historical review of SiC-based optoelectronic devices
The nonstoichiometric silicon carbide (SiC) material has been investigated in recent years because of its C/Si composition ratio detuned bandgap energy [1]. In particular, the SiC has been considered as the perfect matrix for high-power electronic devices due to its unique properties of high electron velocity [2] and large breakdown electric field [3]. When combining the features of controllable n- or p-type doping concentrations in SiC films [4], the SiC material has subsequently been considered as a potential candidate for optoelectronic devices. In the past decades, most researches related to the SiC-based optoelectronic devices have been focused on light-emitting diodes (LEDs), solar cells and field-effect transistors. In view of previous works, the first report on the electroluminescence (EL) of p-i-n SiC LEDs varying from red to green color was observed by Kruangam
More recently, Si photonics have been developed for the application of optically interconnecting the electronic integrated chips because of bottlenecks under electrical transmission, which facilitates the development of hybrid photonic integrated chips with group IV semiconductor-based photonic and/or optoelectronic devices [15,16]. More than that, the optoelectronic photonic devices based on other dielectric materials such as Si-rich SiO
1.2. Historical review of Si-based all-optical switching with the advantages of SiC-based nonlinear waveguide applications
To achieve an ultra-high-speed communication system, the Si-based all-optical switching devices have been widely developed. Generally, the all-optical switching devices demonstrated by Si nanowires and Si-QD-based waveguides are based on the free-carrier plasma dispersion (FCD), absorption effects (FCA) and nonlinear Kerr effect [32–39, 43]. Although the FCA cross-section in Si-QD is one-order of magnitude larger than the bulk Si [35], the free-carrier lifetime (~10 μs) is relatively longer than bulk Si (1 ns). The free-carrier lifetime of the Si-QD doped in SiO
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Si-QD doped in SiO |
Rib waveguide | All-optical/FCA effect | ⋅ 6 dB/cm FCA loss at pump photon flux of 3 × 1020 /cm2–s | [34] |
Si-QD doped in SiO |
Rib waveguide | All-optical/FCA effect | ⋅ FCA cross-section of 3.1 × 10–17 cm2 at 1550 nm is one order of magnitude larger than bulk Si ⋅ Modulation bandwidth increased to ~2 Mbit/s by shrinking Si-QD size to 1.7 nm |
[36, 37] |
Si | Channel waveguide with p-i-n diode | Electro-optical/FCA effect | ⋅ Reduction of the free-carrier lifetime in Si nano-waveguide from 3 ns to 12.2 ps by applying a reverse bias across an integrated p-i-n diode | [38] |
Si | Micro-ring waveguide | All-optical/FCD effect | ⋅ The optical transmission of the structure is modulated by more than 97% by use of control light pulse with energy as low as 40 pJ ⋅ Response time of 450 ps |
[33] |
Si3N4 | Micro-ring waveguide | All-optical/Kerr effect | ⋅ Nonlinear refractive estimated of 2.4 × 10–15 cm2/W by using nonlinear Kerr switch ⋅ Modulation bandwidth of 1 GHz is achieved |
[39] |
Si-QD doped in SiO |
Micro-ring and slot waveguide | All-optical/Kerr effect | ⋅ A modulation depth over 50% has been achieved for on-chip optical powers of the order of 100 mW ⋅ Ultrafast modulation speed of 40 Gbit/s |
[41] |
Recently, the all-optical Kerr switching in the Si-QD doped in SiO
1.3. Motivation and chapter content
In the first part of this chapter, the fabrication of Si-QD doped in a-SiC host matrix by using the hydrogen-free plasma-enhanced vapor deposition (PECVD) system is demonstrated. The atomic composition in the Si-QD doped in a-SiC is discussed. Furthermore, the nonlinear optical property of the Si-QD doped in a-SiC film is analyzed by using the femtosecond Ti:Sapphire laser-based Z-scan measurement. In the second part, the ultrafast nonlinear Kerr effect in the Si-QD doped a-SiC micro-ring resonator is investigated. The Si-QD doped a-SiC matrix all-optical switch is preliminarily demonstrated. The Si-QD doped a-SiC by low-temperature PECVD deposition process is a low-cost fabrication compared to the crystalline Si nano-waveguide fabricated by conventional CVD. Moreover, the nonlinear optical properties of a-SiC can be tuned by adjusting the atomic composition or introducing the nanostructure into the host matrix. Such atomic composition variation in the SiC cannot be obtained in the single-crystallized SiC due to the fixed atomic composition and crystal structure. Fig. 1 illustrates the deposition of Si-QD doped in a-SiC matrix by using the low-temperature PECVD system. After the E-beam lithography and reactive ion etching process, the Si-QD doped in a-SiC micro-ring resonator can be demonstrated (refer to Fig. 1). Based on the nonlinear Kerr effect, the Si-QD doped in a-SiC micro-ring resonator is utilized to demonstrate the ultrafast all-optical switch. By using a pump-probe system, the continuous-wave probe signal can be directly and inversely modulated by the injected pump pulse. With the nonlinear Kerr effect induced wavelength red-shift on the transfer function of the Si-QD doped in a-SiC micro-ring resonator, the nonlinear refractive index at near-infrared wavelengths is also preliminarily determined. According to the ultrafast response of the nonlinear Kerr effect, the refractive index inside the a-SiC ring cavity is dynamically modified by the input pump pulse. The transfer function of transmission properties then varies dynamically by the nonlinear Kerr effect, thus providing a high-speed optical switch of up to 12 Gbit/s via the cross-wavelength amplitude modulation effect.
2. Structural properties of amorphous Si-rich SiC
2.1. Composition of amorphous Si-rich SiC
The amorphous Si-rich SiC film was deposited on the Si wafer by using the PECVD with a mixed gaseous recipe of argon-diluted silane (90% Ar +10% SiH4) and methane (CH4). The fluence ratio is set at RSiC = [CH4]/([SiH4]+[CH4]) = 0.5 to facilitate the growth of amorphous Si-rich SiC film. The C/Si composition ratios of these nonstoichiometric SiC films were determined by using X-ray photoelectron spectroscopy (XPS). The atomic concentration of Si and C are obtained as 64.3% and 27.1%, respectively. In comparison with the standard SiC with a C/Si composition ratio of 50%, the amorphous Si-rich SiC grown with RSiC = 0.5 enlarges its excessive concentration up to 37.2%. The C/Si composition ratio of the amorphous Si-rich SiC film grown with the RSiC = 0.5 is 0.42. Under low temperature and weak RF plasma deposition, the SiH4 molecules is more easily decomposed compared with the CH4 molecules due to the lower dissociation energy of the SiH4 molecules (75.6 kcal/mol) [50]. Under high molecule density, each reactant molecule obtains insufficient energy from the plasma, and the decomposing rates of SiH4 and CH4 molecules cannot significantly distinguish from each other. Therefore, the Si-rich condition of SiC is easily obtained under the growth of RSiC = 0.5. In the meantime, the oxygen content in Si-rich SiC films is also maintained as 8.6% to keep the quality of the PECVD grown SiC film. The Si(2p) orbital electron related XPS spectra of the Si-rich SiC film grown with RSiC = 0.5 is shown in Fig. 2. The detected XPS spectra indicates the significant phase change of SiC films by fitting the Si(2p) orbital electron related XPS spectra with four separated Gaussian components. The binding energies of the decomposed peaks are 99.7, 100.5, 101.5 and 103.35 eV, which are attributed to the Si-Si bonds, Si-C bonds, C-Si-O bonds and Si-O bonds, respectively. The presence of Si-Si bond in Si-rich SiC films indicates that the Si-QDs existed in the Si-rich SiC film.
2.2. Optical nonlinearity of amorphous Si-rich SiC
The Z-scan technology has shown its potential for the analyses of nonlinear refractive index and absorption coefficient due to its high sensitivity and simplified architecture. By fitting the transmittance variation around the focal point of the Z-scan system, the optical nonlinear properties of the a-SiC can be determined. Fig. 3 shows the configuration of the single-beam Z-scan experiment including both open- and closed-aperture experiments. The pumping laser source is outputted from the femtosecond Ti:sapphire laser at wavelength of 800 nm. The pulsewidth and repetition rate are 80 fs and 80 MHz, respectively. The minimum beam diameter of the focused pump beam is ~20 μm, and the excitation intensity is varied by moving the sample along the
The Z-scan traces for the a-SiC films with the RSiC of 0.5 are shown in Fig. 4. For the open-aperture Z-scan analysis, the transmittance near the focal point is decreased significantly. It implies that the two-photon absorption is observed in the Si-QD doped in a-SiC matrix at a wavelength of 800 nm. The characterization of the intensity-dependent absorption for a-SiC film can be performed [51], and the nonlinear absorption coefficient of Si-rich SiC at 800 nm is ~4.6 × 10–6 cm/W determined by the open-aperture configuration. To further extract the nonlinear refractive index of the Si-rich SiC, the close/open Z-scan trace shown in Fig. 4 is obtained by dividing the closed-aperture Z-scan trace with the open-aperture Z-scan trace, and the nonlinear refractive index can be fitted with the theoretical transmittance function [46,52]:
where
3. All optical switching in Si-QD doped in a-SiC micro-ring resonator
3.1. Fabrication of Si-QD doped in a-SiC micro-ring resonator
Prior to determining the geometric structure of a-SiC-based ring resonator, the refractive index of Si-QD-doped Si-rich SiC film was obtained by fitting the reflection spectrum of a-SiC:Si-QD film deposited on Si substrate. The refractive index of a-SiC:Si-QD is calculated as ~2.63 at wavelength of 1.5 μm. For single-mode operation in a-SiC:Si-QD-based channel waveguide, the width and height of a-SiC:Si-QD core layer are set as 600 and 300 nm, respectively. For fabricating the a-SiC:Si-QD-based micro-ring channel waveguide, the a-SiC:Si-QD film is deposited on the Si substrate, which is covered with 3-μm-thick SiO2 by thermal oxidation. Subsequently, the electron beam lithography is performed to define the ring and bus waveguide. The width of the waveguide is set as 600 nm, and the gap between the ring and bus waveguide is set as 300 nm. The diameter of the ring resonator is 300 μm. To enhance the coupling efficiency between the waveguide facet and lensed fiber, the inverse taper structure is introduced into the waveguide design [53]. The width of the inverse taper is varied from 200 to 600 nm within a length of 200 μm. After the E-beam lithography, the Cr layer with 80 nm is deposited on the a-SiC:Si-QD film by using E-gun evaporation. Afterwards, the Cr hard mask is transferred on the a-SiC:Si-QD film with the lift-off process. Afterwards, the reactive-ion-etching (RIE) process with a recipe of CF4 + O2 is used to remove the unpatterned a-SiC:Si-QD and form the a-SiC:Si-QD-based micro-ring resonator. After removing the Cr mask, a 2-μm-thick SiO2 upper-cladding layer is then deposited by using the PECVD. Finally, both end-facets were cleaved and polished to minimize its coupling loss of smaller than 3 dB/facet. The polished waveguide cross-section is shown in Fig. 5(a), which reveals that the waveguide facet is very smooth, and the interface between the waveguide core and cladding can be clearly observed. The top-view images of the inverse taper and micro-ring resonator are demonstrated in Figs. 5(b) and 5(c),respectively. The diameter of the ring resonator is set as 300 μm, which is larger than ever reported. This is because the bending loss contributed by the ring waveguide is expected to be minimized.
3.2. Operation of SiC ring resonator
With the presence of the micro-ring resonator, the output transmission power is modified with the dark comb-like throughput transfer function on the notched transmission spectrum, as shown in Fig. 6. The transmission spectrum of a-SiC:Si-QD micro-ring resonator shows the duel-modes at long wavelengths. This originates from the TE0 and TM0 modes in the a-SiC:Si-QD micro-ring resonator. The extension of transmission dip of the TM0 mode is lower than that of the TE0 mode due to the lower power coupling between the ring and bus waveguides of the TM0 mode. As evidence, by comparing the mode tails between TE0 and TM0 modes, the evanescent wave of the TE0 mode spreads more significantly than the TM0 mode and results in the high extension transmission dip. In order to obtain the optical property of the a-SiC:Si-QD-based micro-ring resonator, the normalized transmission spectrum of a-SiC:Si-QD micro-ring resonator can be simulated by using the equation as shown in [54].
The operation principle for demonstrating the nonlinear Kerr switch is illustrated in Fig. 7. A continuous-wave (CW) optical probe signal and a high-power optical pump data-stream at optical telecommunication wavelengths are concurrently coupled into the Si-rich SiC channel micro-ring waveguide resonator. By injecting the high-power optical pulsed data-stream at any resonance dip of the transmission spectrum of a-SiC:Si-QD micro-ring resonator, the transmission resonance dips can be dynamically red-shifted with the presence of an intensive pump due to the nonlinear Kerr effect. Such nonlinear Kerr effect causes an increased refractive index in the a-SiC:Si-QD micro-ring resonator and results in the red-shift of the notched resonant dip away from its original wavelength. As a result, the transmittance at probe wavelength is dynamically influenced by the nonlinear Kerr effect. By properly selecting the probe wavelength around the resonance dip of the a-SiC:Si-QD micro-ring resonator, the probe beam can be directly or inversely modulated by the pump pulse due to the nonlinear Kerr effect. In more detail, if the wavelength of the probe beam is set at the resonance dip of the micro-ring resonator without pump pulse injection, the transmittance of the probe beam reduces from its initial condition. When the pump pulse is injected into the ring resonator, the resonance dip is red-shifted due to the nonlinear Kerr effect. In that case, the transmittance of the probe beam is increased accordingly. Then, the probe beam can be directly modulated by the pump pulse as shown in Fig. 7(a). On the contrary, if the wavelength of the probe beam is slightly adjusted away from the resonance dip (longer than the resonant wavelength), the transmittance of the probe beam is increased without the pump pulse modulation. Once the pump pulse is injecting into the a-SiC:Si-QD micro-ring resonator, the resonance dip is dynamically red-shifted to the probe wavelength due to the nonlinear Kerr effect. That is, the transmittance of the probe beam is instantly decreased when the pump pulse is introduced into the ring cavity, resulting in the inverse modulation of the probe beam (referred to in Fig. 7(b)).
The nonlinear Kerr switch is characterized by a pump-probe analysis. An external modulation method is used to generate a high-power optical pump pulse. An electrical pulse with a duration of 83 ps and a repetition rate of 12 MHz was employed to modulate a tunable laser through a Mach-Zehnder modulator. The pump pulse was amplified by using an erbium-doped fiber amplifier (EDFA) to obtain a peak power of 3 W. To inject the pump/probe beam into the a-SiC:Si-QD micro-ring resonator, two beams are combined by using a 50/50 coupler injected into the waveguide via a lensed fiber. Moreover, the modulated probe beam and pump pulse are collected from another waveguide facet by using the lensed fiber. In order to analyze the modulated probe signal without the contribution of the pump pulse, the optical bandpass filter is utilized to eliminate the pump pulse. Subsequently, the modulated probe signal is detected by using a high-speed photodetector, and the modulated probe trace is displayed by using the digital sampling oscilloscope. Fig. 8 shows the time-domain traces of a single bit shape for the modulated probe signals with different operating wavelengths. Firstly, when selecting the probe wavelength at the resonance dips of the a-SiC:Si-QD micro-ring resonator, the probe beam can be directly modulated by the original optical pump data-stream and with the maximum positive modulated amplitude. Moreover, the modulated amplitude of the probe beam is gradually decreased with the red shift of the probe wavelength. The probe beam becomes inversely modulated when the wavelength of probe beam is shifted. In comparison with the time-domain trace of the high-power pump pulse, the converted probe and the inverted probe perfectly match the bit shape to the optical pump pulse without distortion.
To realize the practical NRZ-OOK modulation by using the a-SiC:Si-QD micro-ring resonator, the optical pump source is encoded by an arbitrary waveform generator (AWG) with the NRZ-OOK data format. The bit-rate of the pump signal is 12 Gbit/s and the time-domain trace is shown in Fig. 9(a). Similar to the previous experimental condition, the wavelength of the pump signal is selected at resonance dip of the micro-ring resonator of 1551.08 nm to induce the nonlinear Kerr effect. As expected, when setting the probe wavelength at on-resonance (
4. Conclusion
The optical nonlinearity of a-SiC is enhanced by doping the Si-QD into the host matrix by using the PECVD. Based on the Z-scan measurement, the nonlinear refractive index and two-photon absorption coefficient at 800 nm of a-SiC:Si-QD are 1.83 × 10–11 cm2/W and 4.6 × 10–6 cm/W, respectively. Furthermore, the a-SiC:Si-QD is utilized to fabricate the micro-ring resonator to demonstrate the optical nonlinear Kerr switch at ~1550 nm. The fabricated micro-ring waveguide resonator is obtained with
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