Searcharxiv⌕ Search

arXiv subjects

Alexandre V. Tishchenko

Publications and source records attributed to Alexandre V. Tishchenko.

2 recordsLinked to original sources
arXiv2017

General analytical solution for the electromagnetic grating diffraction problem

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.

physics.class-ph↗
arXiv2015

3D periodic dielectric composite homogenization based on the Generalized Source Method

The article encloses a new Fourier space method for rigorous optical simulation of 3D periodic dielectric structures. The method relies upon rigorous solution of Maxwell's equations in complex composite structures by the Generalized Source Method. Extremely fast GPU enabled calculations provide a possibility for an efficient search of eigenmodes in 3D periodic complex structures on the basis of rigorously obtained resonant electromagnetic response. The method is applied to the homogenization problem demonstrating a complete anisotropic dielectric tensor retrieval.

physics.comp-ph↗