Open AccessMatrix method for the study of wave propagation in one-dimensional general media
Author(s) -
L. Carretero,
Manuel Pérez-Molina,
P. Acebal,
S. Blaya,
A. Fimia
Publication year - 2006
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.14.011385
Subject(s) - optics , fibonacci number , refractive index , matrix method , helmholtz equation , transfer matrix method (optics) , propagation constant , dielectric , matrix (chemical analysis) , transfer matrix , wave propagation , physics , fresnel equations , constant (computer programming) , mathematical analysis , materials science , mathematics , computer science , optoelectronics , computer vision , boundary value problem , programming language , discrete mathematics , composite material
A matrix method which relates the field and its derivative is presented for the study of wave propagation in any type of one-dimensional media. The transfer matrix is obtained from the canonical solutions of Helmholtz equations at normal incidence. The method is applied to different optical systems like a Fabry-Perot cavity formed by uniform fiber Bragg gratings, periodic dielectric structures and different quasi-periodic structures based on Fibonacci and Thue-Morse sequences of layers with constant and variable refractive index.