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

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

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

NameAIP Conference Proceedings
Volume709
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

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

Fingerprint

electromagnetic wave transmission
gratings
boundary conditions
formalism
propagation
electric fields
defects
matrices

Cite this

Cherchi, M. (2004). Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer. In F. Michelotti, A. Driessen, & M. Bertolotti (Eds.), Microresonators as Building Blocks for VLSI Photonics: International School of Quantum Electronics, 39th Course (pp. 388-396). American Institute of Physics AIP. AIP Conference Proceedings, Vol.. 709 https://doi.org/10.1063/1.1764031
Cherchi, Matteo. / Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer. Microresonators as Building Blocks for VLSI Photonics: International School of Quantum Electronics, 39th Course. editor / Francesco Michelotti ; Alfred Driessen ; Mario Bertolotti. American Institute of Physics AIP, 2004. pp. 388-396 (AIP Conference Proceedings, Vol. 709).
@inproceedings{335adbaf44904078b2c7e66abeba8662,
title = "Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer",
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.",
author = "Matteo Cherchi",
year = "2004",
month = "5",
day = "10",
doi = "10.1063/1.1764031",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics AIP",
pages = "388--396",
editor = "Francesco Michelotti and Alfred Driessen and Mario Bertolotti",
booktitle = "Microresonators as Building Blocks for VLSI Photonics",
address = "United States",

}

Cherchi, M 2004, Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer. in F Michelotti, A Driessen & M Bertolotti (eds), Microresonators as Building Blocks for VLSI Photonics: International School of Quantum Electronics, 39th Course. American Institute of Physics AIP, AIP Conference Proceedings, vol. 709, pp. 388-396, 39th International School of Quantum Electronics: Microresonators as Building Blocks for VLSI Photonics, Erice, Italy, 18/10/03. https://doi.org/10.1063/1.1764031

Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer. / Cherchi, Matteo.

Microresonators as Building Blocks for VLSI Photonics: International School of Quantum Electronics, 39th Course. ed. / Francesco Michelotti; Alfred Driessen; Mario Bertolotti. American Institute of Physics AIP, 2004. p. 388-396 (AIP Conference Proceedings, Vol. 709).

Research output: Chapter in Book/Report/Conference proceedingConference article in proceedingsScientificpeer-review

TY - GEN

T1 - Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer

AU - Cherchi, Matteo

PY - 2004/5/10

Y1 - 2004/5/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84984546017&partnerID=8YFLogxK

U2 - 10.1063/1.1764031

DO - 10.1063/1.1764031

M3 - Conference article in proceedings

T3 - AIP Conference Proceedings

SP - 388

EP - 396

BT - Microresonators as Building Blocks for VLSI Photonics

A2 - Michelotti, Francesco

A2 - Driessen, Alfred

A2 - Bertolotti, Mario

PB - American Institute of Physics AIP

ER -

Cherchi M. Exact analytic expressions for electromagnetic propagation in a finite one-dimensional periodic multilayer. In Michelotti F, Driessen A, Bertolotti M, editors, Microresonators as Building Blocks for VLSI Photonics: International School of Quantum Electronics, 39th Course. American Institute of Physics AIP. 2004. p. 388-396. (AIP Conference Proceedings, Vol. 709). https://doi.org/10.1063/1.1764031