Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer

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Abstract

Translation Matrix Formalism has been used to find an exact analytic solution for light propagation in a finite one-dimensional (1-D) periodic stratified structure. This modal approach allows to derive a closed formula for the electric field in every point of the structure, by simply imposing a convenient form for the boundary conditions. As an example it is also shown how to extend this result to gratings featuring defects.

Original languageEnglish
Title of host publicationMicroresonators as Building Blocks for VLSI Photonics
Subtitle of host publicationInternational School of Quantum Electronics, 39th Course
EditorsFrancesco Michelotti, Alfred Driessen, Mario Bertolotti
PublisherAmerican Institute of Physics (AIP)
Pages388-396
Number of pages9
ISBN (Electronic)0-73540184-5
DOIs
Publication statusPublished - 10 May 2004
MoE publication typeA4 Article in a conference publication
Event39th International School of Quantum Electronics: Microresonators as Building Blocks for VLSI Photonics - Erice, Italy
Duration: 18 Oct 200325 Oct 2003

Publication series

SeriesAIP Conference Proceedings
Volume709
ISSN0094-243X

Conference

Conference39th International School of Quantum Electronics: Microresonators as Building Blocks for VLSI Photonics
CountryItaly
CityErice
Period18/10/0325/10/03

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