https://doi.org/10.1051/epjap:2005051
Two-dimensional electromagnetic fluctuations in arbitrary geometries
Institute for Physics of Microstructures RAS,
603600 Nyzhny Novgorod, GSP-105, Russia
Corresponding author: dorof@ipm.sci-nnov.ru
Received:
26
October
2004
Revised:
21
February
2005
Accepted:
15
April
2005
Published online:
18
August
2005
A general-purpose formulae for the nonretarded two-dimensional Green function in the case of arbitrary geometrical shapes of lossy dielectrics is derived by the method of complex variables. Spectral power densities of fluctuating electromagnetic fields are determined by real and imaginary parts of the Green function. Spectral properties of fluctuating fields in given geometrical domains may be obtained by appropriate conformal mappings. The applicability of the method is illustrated by in comparison with some exact solutions, in particular, related to a cylinder, to an arbitrary wedge, and to a plane slit. The impact of curved surfaces upon spectral characteristics is analyzed by numerical calculations of fields inside the “open” parabolic domain and inside or outside of “close” cylindrical domains as compare with a plane case. The controllability of spectral properties by a local curvature of surface is demonstrated.
PACS: 03.50.De – Classical electromagnetism, Maxwell equations / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 12.20.-m – Quantum electrodynamics / 68.37.-d – Microscopy of surfaces, interfaces, and thin films
© EDP Sciences, 2005
