Computer-aided determination of existence and stability of optical patterns

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

Computer-aided determination of existence and stability of optical patterns

Physics

Research output: Contribution to conference › Paper › peer-review

Abstract

A computer-aided technique for determining the existence and stability of optical patterns is described. The technique is able to find the stationary solutions of a model by using a Newton-type method and a Fourier transform to evaluate the spatial derivatives. The Newton method automatically gives the linearization around the solutions found and therefore can be extended to find their eigenspectrum and hence stability.

Original language	English
Publication status	Published - 15 Sept 2000
Event	2000 International Quantum Electronics Conference (IQEC 2000) - Nice, France Duration: 10 Sept 2000 → 15 Sept 2000

Conference

Conference	2000 International Quantum Electronics Conference (IQEC 2000)
City	Nice, France
Period	10/09/00 → 15/09/00

Keywords

computer aided analysis
Fourier transforms
linearization
mathematical models
system stability
Busse balloon
Newton method
optical patterns
nonlinear optics

Cite this

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title = "Computer-aided determination of existence and stability of optical patterns",

abstract = "A computer-aided technique for determining the existence and stability of optical patterns is described. The technique is able to find the stationary solutions of a model by using a Newton-type method and a Fourier transform to evaluate the spatial derivatives. The Newton method automatically gives the linearization around the solutions found and therefore can be extended to find their eigenspectrum and hence stability.",

keywords = "computer aided analysis, Fourier transforms, linearization, mathematical models, system stability, Busse balloon, Newton method, optical patterns, nonlinear optics",

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

year = "2000",

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day = "15",

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note = "2000 International Quantum Electronics Conference (IQEC 2000) ; Conference date: 10-09-2000 Through 15-09-2000",

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TY - CONF

T1 - Computer-aided determination of existence and stability of optical patterns

AU - Harkness, G.K.

AU - Firth, W.J.

AU - Oppo, G.-L.

PY - 2000/9/15

Y1 - 2000/9/15

N2 - A computer-aided technique for determining the existence and stability of optical patterns is described. The technique is able to find the stationary solutions of a model by using a Newton-type method and a Fourier transform to evaluate the spatial derivatives. The Newton method automatically gives the linearization around the solutions found and therefore can be extended to find their eigenspectrum and hence stability.

AB - A computer-aided technique for determining the existence and stability of optical patterns is described. The technique is able to find the stationary solutions of a model by using a Newton-type method and a Fourier transform to evaluate the spatial derivatives. The Newton method automatically gives the linearization around the solutions found and therefore can be extended to find their eigenspectrum and hence stability.

KW - computer aided analysis

KW - Fourier transforms

KW - linearization

KW - mathematical models

KW - system stability

KW - Busse balloon

KW - Newton method

KW - optical patterns

KW - nonlinear optics

M3 - Paper

T2 - 2000 International Quantum Electronics Conference (IQEC 2000)

Y2 - 10 September 2000 through 15 September 2000

ER -

Computer-aided determination of existence and stability of optical patterns

Abstract

Conference

Keywords

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Cite this