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Fourier factorization with complex polarization bases in modeling optics of discontinuous bi-periodic structures
1Charles University, Faculty of Mathematics and Physics, Praha, Czech Republic. antos@karlov.mff.cuni.cz
Abstract:
The coupled wave theory dealing with optics of discontinuous two-dimensional (2D) periodic structures is reformulated by using Fourier factorization with complex polarization bases, which is a generalized implementation of the fast Fourier factorization rules. The modified approach yields considerably improved convergence properties, as shown on an example of a 2D quartz grating. The method can also be applied to the calculation of 2D photonic band structures or nonperiodic cylindrical devices, and can be generalized to elements with arbitrary cross-sections.
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