A general approach for deriving bounds in electromagnetic theory
Författare
Summary, in English
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.
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.
Publiceringsår
2008
Språk
Engelska
Sidor
1-4
Länkar
Dokumenttyp
Konferensbidrag
Ämne
- Electrical Engineering, Electronic Engineering, Information Engineering
Conference name
XXIXth URSI General Assembly 2008
Conference date
2008-08-07 - 2008-08-16
Conference place
Chicago, Illinois, United States
Status
Published
Forskningsgrupp
- Electromagnetic theory