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Opt Express. 2006 Nov 13;14(23):11385-91. doi: 10.1364/oe.14.011385.

Matrix method for the study of wave propagation in one-dimensional general media.

Optics express

L Carretero, M Perez-Molina, P Acebal, S Blaya, A Fimia

PMID: 19529556 DOI: 10.1364/oe.14.011385

Abstract

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.

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