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General analytical solution for the electromagnetic grating diffraction problem

Classical Physics 2017-08-01 v2 Mathematical Physics math.MP Optics

Abstract

Implementing the modal method in the electromagnetic grating diffraction problem delivered by the curvilinear coordinate transformation yields a general analytical solution to the 1D grating diffraction problem in a form of a T-matrix. Simultaneously it is shown that the validity of the Rayleigh expansion is defined by the validity of the modal expansion in a transformed medium delivered by the coordinate transformation.

Keywords

Cite

@article{arxiv.1701.08434,
  title  = {General analytical solution for the electromagnetic grating diffraction problem},
  author = {Alexandre V. Tishchenko and Alexey A. Shcherbakov},
  journal= {arXiv preprint arXiv:1701.08434},
  year   = {2017}
}

Comments

2 figures

R2 v1 2026-06-22T18:03:30.692Z