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Two-dimensional electromagnetic fluctuations in arbitrary geometries

Published online by Cambridge University Press:  18 August 2005

I. Dorofeyev
I. Dorofeyev*
Affiliation:
Institute for Physics of Microstructures RAS, 603600 Nyzhny Novgorod, GSP-105, Russia
*
[email protected]
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Abstract

A general-purpose formulae for the nonretarded two-dimensional Green functionin the case of arbitrary geometrical shapes of lossy dielectricsis derived by the method of complex variables. Spectral powerdensities of fluctuating electromagnetic fields are determined byreal and imaginary parts of the Green function. Spectralproperties of fluctuating fields in given geometrical domains maybe obtained by appropriate conformal mappings. The applicabilityof the method is illustrated by in comparison with some exactsolutions, in particular, related to a cylinder, to an arbitrarywedge, and to a plane slit. The impact of curved surfaces uponspectral characteristics is analyzed by numerical calculations offields inside the “open” parabolic domain and inside or outside of“close” cylindrical domains as compare with a plane case. Thecontrollability of spectral properties by a local curvature ofsurface is demonstrated.

Keywords

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 31 , Issue 2 , August 2005 , pp. 113 - 125
Copyright
© EDP Sciences, 2005

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