Existence, stability and control of transverse optical structures

G.K. Harkness; W.J. Firth; G.-L. Oppo

Existence, stability and control of transverse optical structures

G.K. Harkness^*
, W.J. Firth
, G.-L. Oppo

^*Corresponding author for this work

Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

Abstract

A computer-assisted technique that allows to find the model equations' stable and unstable stationary solutions is presented. The technique uses a Fourier transform to compute the spatial derivatives in discretized set of model equations and then a Newton method to solve the resulting set of algebraic equations for the stationary solutions. This technique is general and can be applied to almost any optical system.

Original language	English
Title of host publication	Quantum Electronics and Laser Science Conference (QELS 2000)
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	233-234
Number of pages	2
ISBN (Print)	1557526087
Publication status	Published - 6 Aug 2000
Event	Quantum Electronics and Laser Science Conference (QELS 2000) - San Francisco, CA, USA Duration: 7 May 2000 → 12 May 2000

Conference

Conference	Quantum Electronics and Laser Science Conference (QELS 2000)
City	San Francisco, CA, USA
Period	7/05/00 → 12/05/00

Keywords

computer simulation
Fourier transforms
nonlinear equations

Cite this

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title = "Existence, stability and control of transverse optical structures",

abstract = "A computer-assisted technique that allows to find the model equations' stable and unstable stationary solutions is presented. The technique uses a Fourier transform to compute the spatial derivatives in discretized set of model equations and then a Newton method to solve the resulting set of algebraic equations for the stationary solutions. This technique is general and can be applied to almost any optical system.",

keywords = "computer simulation, Fourier transforms, nonlinear equations",

author = "G.K. Harkness and W.J. Firth and G.-L. Oppo",

year = "2000",

month = aug,

day = "6",

language = "English",

isbn = "1557526087",

pages = "233--234",

booktitle = "Quantum Electronics and Laser Science Conference (QELS 2000)",

publisher = "IEEE",

note = "Quantum Electronics and Laser Science Conference (QELS 2000) ; Conference date: 07-05-2000 Through 12-05-2000",

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TY - GEN

T1 - Existence, stability and control of transverse optical structures

AU - Harkness, G.K.

AU - Firth, W.J.

AU - Oppo, G.-L.

PY - 2000/8/6

Y1 - 2000/8/6

N2 - A computer-assisted technique that allows to find the model equations' stable and unstable stationary solutions is presented. The technique uses a Fourier transform to compute the spatial derivatives in discretized set of model equations and then a Newton method to solve the resulting set of algebraic equations for the stationary solutions. This technique is general and can be applied to almost any optical system.

AB - A computer-assisted technique that allows to find the model equations' stable and unstable stationary solutions is presented. The technique uses a Fourier transform to compute the spatial derivatives in discretized set of model equations and then a Newton method to solve the resulting set of algebraic equations for the stationary solutions. This technique is general and can be applied to almost any optical system.

KW - computer simulation

KW - Fourier transforms

KW - nonlinear equations

UR - https://ieeexplore.ieee.org/document/902040

M3 - Conference contribution book

AN - SCOPUS:0034539939

SN - 1557526087

SP - 233

EP - 234

BT - Quantum Electronics and Laser Science Conference (QELS 2000)

PB - IEEE

CY - Piscataway, NJ

T2 - Quantum Electronics and Laser Science Conference (QELS 2000)

Y2 - 7 May 2000 through 12 May 2000

ER -

Existence, stability and control of transverse optical structures

Abstract

Conference

Keywords

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Cite this