Open AccessCalculation of the 1D grating scattering matrix frequency derivatives
Author(s) -
А. А. Щербаков,
Lydia Yu. Pogorelskaya,
Andrey Bogdanov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1461/1/012159
Subject(s) - scattering , matrix (chemical analysis) , modal , fourier transform , modal analysis , mathematics , mathematical analysis , algorithm , computer science , physics , optics , acoustics , materials science , vibration , polymer chemistry , composite material
In this contribution we develop methods for calculation of complex poles of scattering matrices which are based on analytically found frequency derivatives of these matrices instead of commonly used finite difference derivation. The analysis is made within the framework of the Fourier Modal Method and the analytical scattering matrix method proposed previously. Usage of analytical formulas may improve the accuracy of numerical algorithms based on the matrix Newton and Householder methods.