Diffraction theory: application of the fast Fourier factorization to cylindrical devices with arbitrary cross section lighted in conical mounting

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
Philippe BoyerGilles Renversez

Abstract

The differential theory of diffraction by arbitrary cross-section cylindrical objects is developed for the most general case of an incident field with a wave vector outside the cross-section plane of the object. The fast Fourier factorization technique recently developed for studying gratings is generalized to anisotropic and/or inhomogeneous media described in cylindrical coordinates; thus the Maxwell equations are reduced to a first-order differential set well suited for numerical computation. The resolution of the boundary-value problem, including an adapted S-matrix propagation algorithm, is explained in detail for the case of an isotropic medium. Numerical applications show the capabilities of the method for resolving complex diffraction problems. The method and its numerical implementation are validated through comparisons with the well-established multipole method.

References

Oct 23, 2004·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Benfeng Bai, Lifeng Li
Nov 13, 2004·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Philippe BoyerGérard Tayeb

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Citations

Jun 17, 2020·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Habib MohamadPierre Benech
Apr 19, 2013·Journal of the Optical Society of America. A, Optics, Image Science, and Vision·Philippe Boyer

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