A new approach for analysis of photonic crystal based on the spatial finite-difference and temporal differential formulation

Jiazong Zhang; Velko P. Tzolov

doi:10.1117/12.601960

28 April 2005 A new approach for analysis of photonic crystal based on the spatial finite-difference and temporal differential formulation (Invited Paper)

Jiazong Zhang, Velko P. Tzolov

Author Affiliations +

Proceedings Volume 5722, Physics and Simulation of Optoelectronic Devices XIII; (2005) https://doi.org/10.1117/12.601960
Event: Integrated Optoelectronic Devices 2005, 2005, San Jose, California, United States

Abstract

In this paper, we present a new procedure for computing the band structure of semiconductor-based photonic crystals using the spatial finite-difference and temporal differential formulation. Unlike the conventional plane wave expansion (PWE) method where the wavelet expansion and Fourier transform are required; this new scheme only forces the finite-difference to the Maxwell's equation in the spatial domain. When applying the Bloch’s boundary condition to the algorithm for solving the band-diagram, it will result in a system of first-order differential equations in a matrix format. A band mode can be obtained directly by solving the eigen-value and the eigen-vector of this matrix. Numerical examples to demonstrate the accuracy and efficiency of the proposed approach are given.

Citation Download Citation

Jiazong Zhang and Velko P. Tzolov "A new approach for analysis of photonic crystal based on the spatial finite-difference and temporal differential formulation (Invited Paper)", Proc. SPIE 5722, Physics and Simulation of Optoelectronic Devices XIII, (28 April 2005); https://doi.org/10.1117/12.601960

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