İlkay Bakırtaş

Istanbul Technical University

Dr. İlkay Bakırtaş is working as a Professor of applied mathematics at the Istanbul Technical University (ITU), Department of Mathematics. She received her Ph.D. degree in Mechanics from ITU in 2003. She completed her postdoctoral studies at the University of Colorado at Boulder, USA. She has published 18 research papers in peer-reviewed journals in SCI, 4 book chapters, 21 conference proceedings in the fields of perturbation methods, nonlinear wave propagation in arteries, optical solitons and wave collapse in optics and water waves problems. She is the editor of the books "Perturbation Methods with Applications in Science and Engineering” and "Nonlinear Optics - From Solitons to Similaritons" by IntechOpen. Dr. Bakırtaş is a member of the Scientific Committee of TUMTMK (Turkish National Committee of Theoretical and Applied Mechanics).

2books edited

2chapters authored

Latest work with IntechOpen by İlkay Bakırtaş

With this book, we aim to capture different perspectives of researchers on nonlinear optics and optical devices and we intend to cover the latest developments in optics from theoretical, numerical, and experimental aspects. The eleven selected chapters cover a variety of topics related to nonlinear optics including bright, dark, kink solitary waves in various media, magnetic solitons, lattice solitons, rogue-waves, solid-state lasers, laser cladding, optical sensors, optical vortices, and molecular switches. The book is intended to draw the attention of scientists in academia, as well as researchers and engineers in industry, since the field has a significant potential for the production and design of novel optical devices and other technological applications.

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Nonlinear OpticsFrom Solitons to SimilaritonsEdited by İlkay Bakırtaş

By İlkay Bakırtaş

In this chapter, dipole and vortex solitons are computed using spectral renormalization method in the focusing two-dimensional saturable nonlinear Schrödinger (SNLS) equation with periodic and quasicrystal lattice potentials. The nonlinear stability of these multi-humped solitons is investigated using direct simulations of the SNLS equation. It is shown that multiple vortex structures on quasicrystal lattices can be nonlinearly stable as the saturation and the external lattice may prevent the collapse. These results may have applications to investigations of localized structures in nonlinear optics and Bose-Einstein condensates.

Part of the book: Vortex Dynamics and Optical Vortices

Water Waves and Light: Two Unlikely Partners

By Georgios N. Koutsokostas, Theodoros P. Horikis, Dimitrios J. Frantzeskakis, Nalan Antar and İlkay Bakırtaş

We study a generic model governing optical beam propagation in media featuring a nonlocal nonlinear response, namely a two-dimensional defocusing nonlocal nonlinear Schrödinger (NLS) model. Using a framework of multiscale expansions, the NLS model is reduced first to a bidirectional model, namely a Boussinesq or a Benney-Luke-type equation, and then to the unidirectional Kadomtsev-Petviashvili (KP) equation – both in Cartesian and cylindrical geometry. All the above models arise in the description of shallow water waves, and their solutions are used for the construction of relevant soliton solutions of the nonlocal NLS. Thus, the connection between water wave and nonlinear optics models suggests that patterns of water may indeed exist in light. We show that the NLS model supports intricate patterns that emerge from interactions between soliton stripes, as well as lump and ring solitons, similarly to the situation occurring in shallow water.

Part of the book: Nonlinear Optics

İlkay Bakırtaş

Latest work with IntechOpen by İlkay Bakırtaş

Nonlinear Optics

Books edited

Perturbation Methods with Applications in Science and Engineering

Chapters authored

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