Open AccessМодифицированная теория связанных волн и численный метод для анализа брэгговских зеркал с произвольным профилем показателя преломления
Author(s) -
Р.А. Мастеров,
С.Ю. Карпов
Publication year - 2021
Publication title -
žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-748X
pISSN - 0044-4642
DOI - 10.21883/jtf.2021.12.51766.209-21
Subject(s) - refractive index , transfer matrix method (optics) , dielectric , optics , reflection (computer programming) , numerical analysis , transmission (telecommunications) , matrix method , matrix (chemical analysis) , base (topology) , basis (linear algebra) , materials science , computer science , physics , mathematics , mathematical analysis , optoelectronics , geometry , telecommunications , composite material , programming language
An analytical and effective numerical approach to the analysis of the optical characteristics of Bragg mirrors with an arbitrary refractive index profile is developed. Analytical expressions obtained using the modified theory of coupled waves for the coefficients of reflection / transmission of light from / through the BM with high accuracy predict its main characteristics at both low and high contrast of the refractive index. The hybrid numerical method includes the numerical calculation of the transfer matrix for one period of the knowledge base and its analytical multiplication for an arbitrary number of periods. The developed methods are applied to the analysis of the properties of practically important BMs made on the basis of sprayed pairs of Ta2O5 / SiO2 dielectrics, Group III nitrides and arsenides. The characteristics of the knowledge base with smooth (gradient) interfaces are considered in detail.