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A general approach for deriving bounds in electromagnetic theory

Publiceringsår: 2008
Språk: Engelska
Sidor: 1-4
Dokumenttyp: Konferensbidrag


This paper reports on a systematic procedure for deriving physical bounds in electromagnetic theory. The approach

is based on the holomorphic properties of certain Herglotz functions and their asymptotic expansions in the low- and

high-frequency regimes. A family of integral identities or summation rules is obtained with values governed by the

coefficients in the low- and high-frequency expansions. In particular, summation rules for plane-wave scattering by a

homogenous and isotropic sphere is derived and verified numerically by computing the extinction cross section and the

bistatic radar cross section in the forward direction. It is concluded that summation rules based on Herglotz functions

show great potential for deriving new physical bounds in, e.g., scattering and antenna problems.


  • Electrical Engineering, Electronic Engineering, Information Engineering


XXIXth URSI General Assembly 2008
  • Electromagnetic theory-lup-obsolete

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