Variance of deviations from the average mode count for rectangular wave guides


Wright, M. C. M. (2001) Variance of deviations from the average mode count for rectangular wave guides Acoustic Research Letters Online, 2, (1), pp. 19-24. (doi:10.1121/1.1346900).

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Description/Abstract

The periodic orbit theory of quantum physics is used to find a series form expression for the variance of the difference between the true number of modes in a rectangular wave guide at a particular wave number and the average number. The resulting expression corresponds to one known for the saturation spectral rigidity and is independent of boundary conditions. Corrections for degenerate orbits are given for selected cases and the results are found to agree well with numerical estimates.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1121/1.1346900
ISSNs: 1529-7853 (print)
Keywords: spectral rigidity, trace formula, mode count deviation
Subjects:
ePrint ID: 13989
Date :
Date Event
2001Published
Date Deposited: 11 Jan 2005
Last Modified: 16 Apr 2017 23:48
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/13989

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