Phase critical point densities in planar isotropic random waves

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).


PDF - Version of Record
Download (79Kb)


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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1088/0305-4470/34/20/102
Additional Information: Letter to the Editor
ISSNs: 0305-4470 (print)
Related URLs:
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
ePrint ID: 29377
Accepted Date and Publication Date:
Date Deposited: 12 May 2006
Last Modified: 31 Mar 2016 11:54

Actions (login required)

View Item View Item

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics