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12 May 2009 Complex Fourier factorization method applied in modeling optical metamaterials based on 2D periodic nanostructures
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Abstract
The rigorous coupled wave theory dealing with optics of discontinuous two-dimensional (2D) periodic structures is reformulated by using the complex Fourier factorization method, which is a generalized implementation of the fast Fourier factorization rules. The modified approach yields considerably improved convergence properties, as shown on three samples of 2D gratingsmade as periodically arranged cylindrical holes on the top of quartz, silicon, and gold substrates. The method can also be applied to the calculation of 2D photonic band-gap structures or nonperiodic cylindrical devices, and can be generalized to elements with arbitrary cross-sections.
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Roman Antos, Martin Veis, and Stefan Visnovsky "Complex Fourier factorization method applied in modeling optical metamaterials based on 2D periodic nanostructures", Proc. SPIE 7353, Metamaterials IV, 73531C (12 May 2009); https://doi.org/10.1117/12.826859
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