Prof. Dmitry Pelinovsky
McMaster University
| Organizer: IEEE Lasers and Electro-Optics Society, LEOS |
| Title: Analysis and computations of stable
all-optical limiting in nonlinear periodic structures |
| Speaker: Prof. Dmitry Pelinovsky McMaster University |
| Abstract: I review mathematical methods for transmission of coherent light through a nonlinear periodic optical structure. The structure consists of alternating layers with different linear and nonlinear refractive indices. A coupled-mode model is derived from the Maxwell equations and analyzed for the stationary transmission regimes and time-dependent dynamics. "All-optical limiting" is the stationary transmission regime when the input-output transmission characteristic is monotonic and clamped below a limiting value. The domain for existence of all-optical limiting is found analytically. It is proved analytically and confirmed numerically that the all-optical limiting regime supported by the zero net-average Kerr nonlinearity is asymptotically stable in time-dependent dynamics. When the all-optical limiting regime is destroyed (e.g. for unbalanced out-of-phase photonic gratings), the light transmission exhibits local and global multistability. Numerical computations show that the multistable transmission is accompanied by high-amplitude oscillations of the light. |
| Biography: Prof. Dmitry Pelinovsky received the M.Sc. in Radiophysics and Electronics from the Nizhny Novgorod State University, Russia in 1993 and the Ph.D. in Applied Mathematics from the Monash University, Australia in 1997. During his graduate studies, he has been involved in studies of optical solitons as a Junior Research Scientist at Institute of Applied Physics, Nizhny Novgorod, Russia (1992-1994) and as a Visiting Fellow at Optical Science Center, Photonics Research Laboratory, Canberra, Australia (1995-1997). He has received the NATO Postdoctoral Fellowship at the Department of Mathematics, University of Toronto in 1998-2000. He joined the Department of Mathematics and Statistics, McMaster University as Assistant Professor in 2000. Prof. Pelinovsky is the author of fifty papers and several reviews in various mathematical and physical journals. He is a frequent reviewer for Phys. Rev. Lett., Phys. Rev. E, Opt. Lett., Nonlinearity, and Inverse Problems. His current research interests are signal propagation in dispersion-managed optical fibers, data transmission in photonic gratings, and software development in mathematical education over the internet. |
| Time and Location: Monday, March 26, 2001 11:00 a.m. University of Toronto, Galbraith Building, Room 119 The Galbrait Building is located at 35 St. George Street For more information contact Emanuel Istrate, istrate@ecf.utoronto.ca |
The Institute of Electrical and Electronics Engineers,
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