Non-modal Expansion of Electromagnetic Field for Analysis of Photonic Structures

Peyman Sarrafi

The Edward S. Rogers Sr. Department of Electrical and Computer Engineering (Photonics)

Abstract:

Various non-modal expansions are employed in this presentation for effective analysis of miscellaneous photonic structures; e.g. homogeneous/ inhomogeneous slab waveguides and photonic crystal waveguides. In applying the proposed non-modal method, electromagnetic waves are expanded in terms of polynomial basis functions, and thanks to the possibility of using differential transfer matrix theory, eigenmode extraction is turned into a straightforward algebraic problem in matrix form. The overall performance of such non-modal expansions is further investigated, where most important issues, i.e. harmonic contents of the expansion, speed, stability, and accuracy are particularly emphasized. Stability in analysis of longitudinally periodic waveguides is shown to be a critical factor, which is finally dealt with in all formality.

Biography:

Peyman was born in Tehran, Iran, in September 1983. He received the B.S. degree in Electrical Engineering (electronics) from Shahid Beheshti University, Tehran, Iran, in 2005, and the M.S. degree in Electrical Engineering (Optical and microwave communication) from Sharif University of Technology, Tehran, Iran, in 2007. He is currently working towards his PhD degree at University of Toronto in Electrical Engineering (Photonics) under supervision of Prof. Li Qian. Peyman's previous major works include the analysis of different kinds of photonic structures, especially photonic crystals waveguides. His current research interests include semiconductor all optical switching and nonlinear periodic structures.