A general approach for deriving bounds in electromagnetic theory

Christian Sohl, Mats Gustafsson, Gerhard Kristensson, Sven Nordebo

Forskningsoutput: KonferensbidragKonferenspaper, ej i proceeding/ej förlagsutgivetPeer review


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.
StatusPublished - 2008
EvenemangXXIXth URSI General Assembly 2008 - Chicago, Chicago, Illinois, USA
Varaktighet: 2008 aug. 72008 aug. 16


KonferensXXIXth URSI General Assembly 2008
OrtChicago, Illinois

Ämnesklassifikation (UKÄ)

  • Elektroteknik och elektronik


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