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Phase critical point densities in planar isotropic random waves

Phase critical point densities in planar isotropic random waves
Phase critical point densities in planar isotropic random waves
The densities of critical points of phase (extrema and saddles), which play an important role in the theory of phase singularities (wave dislocations) in two dimensions, are calculated in isotropic plane wave superpositions. Critical points and dislocations are put on an equal footing as zeros of the two-dimensional current (Poynting vector), and the results, depending only on the second and fourth moments of the wave spectrum (distribution of wavenumbers), are related to the corresponding dislocation density. Explicit results for several spectra are derived, discussed and related to previous results.
0305-4470
L297-L303
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61

Dennis, M.R. (2001) Phase critical point densities in planar isotropic random waves. Journal of Physics A: Mathematical and General, 34 (20), L297-L303. (doi:10.1088/0305-4470/34/20/102).

Record type: Article

Abstract

The densities of critical points of phase (extrema and saddles), which play an important role in the theory of phase singularities (wave dislocations) in two dimensions, are calculated in isotropic plane wave superpositions. Critical points and dislocations are put on an equal footing as zeros of the two-dimensional current (Poynting vector), and the results, depending only on the second and fourth moments of the wave spectrum (distribution of wavenumbers), are related to the corresponding dislocation density. Explicit results for several spectra are derived, discussed and related to previous results.

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Published date: 2001
Additional Information: Letter to the Editor
Related URLs:
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 29377
URI: http://eprints.soton.ac.uk/id/eprint/29377
DOI: doi:10.1088/0305-4470/34/20/102
ISSN: 0305-4470
PURE UUID: 132a8cc9-a963-46ba-b745-d2be87084002

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Date deposited: 12 May 2006
Last modified: 15 Mar 2024 07:31

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Author: M.R. Dennis

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