Exact analytic expressions for electromagnetic propagation and optical nonlinear generation in finite one-dimensional periodic multilayers

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Abstract

The translation matrix formalism has been used to find an exact analytic\nsolution for linear light propagation in a finite one-dimensional\nperiodic stratified structure. This modal approach allows us to derive\na closed formula for the electric field in every point of the structure,\nby simply imposing a convenient form for the boundary conditions.\nWe show how to apply this result to second-harmonic generation in\nthe undepleted pump regime.
Original languageEnglish
Article number066602
Pages (from-to)8
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume69
Issue number6
DOIs
Publication statusPublished - 2004
MoE publication typeA1 Journal article-refereed

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electromagnetic wave transmission
Multilayer
harmonic generations
Propagation
pumps
boundary conditions
formalism
Second Harmonic Generation
propagation
electric fields
matrices
Pump
Electric Field
Boundary conditions
Closed
Form

Cite this

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title = "Exact analytic expressions for electromagnetic propagation and optical nonlinear generation in finite one-dimensional periodic multilayers",
abstract = "The translation matrix formalism has been used to find an exact analytic\nsolution for linear light propagation in a finite one-dimensional\nperiodic stratified structure. This modal approach allows us to derive\na closed formula for the electric field in every point of the structure,\nby simply imposing a convenient form for the boundary conditions.\nWe show how to apply this result to second-harmonic generation in\nthe undepleted pump regime.",
author = "Matteo Cherchi",
year = "2004",
doi = "10.1103/PhysRevE.69.066602",
language = "English",
volume = "69",
pages = "8",
journal = "Physical review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "6",

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AB - The translation matrix formalism has been used to find an exact analytic\nsolution for linear light propagation in a finite one-dimensional\nperiodic stratified structure. This modal approach allows us to derive\na closed formula for the electric field in every point of the structure,\nby simply imposing a convenient form for the boundary conditions.\nWe show how to apply this result to second-harmonic generation in\nthe undepleted pump regime.

U2 - 10.1103/PhysRevE.69.066602

DO - 10.1103/PhysRevE.69.066602

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JO - Physical review E

JF - Physical review E

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