An explicit finite-difference scheme for wave propagation in nonlinear optical structures

K. M. Furati; M. A. Alsunaidi; H. M. Masoudi

doi:10.1016/S0893-9659(00)00152-X

An explicit finite-difference scheme for wave propagation in nonlinear optical structures

K. M. Furati^*
, M. A. Alsunaidi
, H. M. Masoudi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we present an algorithm that solves a time-domain nonlinear coupled system arising in nonlinear optics. The algorithm is an explicit nonlinear finite-difference method (NFDM) based on the exact solution of the nonlinear discrete equations. It enables simulations that preserve the characteristics of nonlinearity as well as coupling, and can be extended to arbitrary input waveform conditions.

Original language	English
Pages (from-to)	297-302
Number of pages	6
Journal	Applied Mathematics Letters
Volume	14
Issue number	3
DOIs	https://doi.org/10.1016/S0893-9659(00)00152-X
State	Published - Apr 2001

Bibliographical note

Funding Information:
The authors are grateful for the financial support provided by King Fahd University of Petroleum and Minerals.

Keywords

Finite difference
Nonlinear optics
Nonlinear wave propagation
Time domain

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1016/S0893-9659(00)00152-X

Cite this

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title = "An explicit finite-difference scheme for wave propagation in nonlinear optical structures",

abstract = "In this paper, we present an algorithm that solves a time-domain nonlinear coupled system arising in nonlinear optics. The algorithm is an explicit nonlinear finite-difference method (NFDM) based on the exact solution of the nonlinear discrete equations. It enables simulations that preserve the characteristics of nonlinearity as well as coupling, and can be extended to arbitrary input waveform conditions.",

keywords = "Finite difference, Nonlinear optics, Nonlinear wave propagation, Time domain",

author = "Furati, \{K. M.\} and Alsunaidi, \{M. A.\} and Masoudi, \{H. M.\}",

note = "Funding Information: The authors are grateful for the financial support provided by King Fahd University of Petroleum and Minerals.",

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AU - Alsunaidi, M. A.

AU - Masoudi, H. M.

N1 - Funding Information: The authors are grateful for the financial support provided by King Fahd University of Petroleum and Minerals.

PY - 2001/4

Y1 - 2001/4

N2 - In this paper, we present an algorithm that solves a time-domain nonlinear coupled system arising in nonlinear optics. The algorithm is an explicit nonlinear finite-difference method (NFDM) based on the exact solution of the nonlinear discrete equations. It enables simulations that preserve the characteristics of nonlinearity as well as coupling, and can be extended to arbitrary input waveform conditions.

AB - In this paper, we present an algorithm that solves a time-domain nonlinear coupled system arising in nonlinear optics. The algorithm is an explicit nonlinear finite-difference method (NFDM) based on the exact solution of the nonlinear discrete equations. It enables simulations that preserve the characteristics of nonlinearity as well as coupling, and can be extended to arbitrary input waveform conditions.

KW - Finite difference

KW - Nonlinear optics

KW - Nonlinear wave propagation

KW - Time domain

UR - https://www.scopus.com/pages/publications/0008356728

U2 - 10.1016/S0893-9659(00)00152-X

DO - 10.1016/S0893-9659(00)00152-X

M3 - Article

AN - SCOPUS:0008356728

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 3

ER -

An explicit finite-difference scheme for wave propagation in nonlinear optical structures

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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