Timedomain approach to the forward scattering sum rule
(2010) In Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences 466(2124). p.35793592 Abstract
 The forward scattering sum rule relates the extinction cross section integrated over all wavelengths with the polarizability dyadics. It is useful for deriving bounds on the interaction between scatterers and electromagnetic fields, antenna bandwidth and directivity and energy transmission through subwavelength apertures. The sum rule is valid for linearly polarized plane waves impinging on linear, passive and time translational invariant scattering objects in free space. Here, a timedomain approach is used to clarify the derivation and the used assumptions. The timedomain forward scattered field defines an impulse response. Energy conservation shows that this impulse response is the kernel of a passive convolution operator, which... (More)
 The forward scattering sum rule relates the extinction cross section integrated over all wavelengths with the polarizability dyadics. It is useful for deriving bounds on the interaction between scatterers and electromagnetic fields, antenna bandwidth and directivity and energy transmission through subwavelength apertures. The sum rule is valid for linearly polarized plane waves impinging on linear, passive and time translational invariant scattering objects in free space. Here, a timedomain approach is used to clarify the derivation and the used assumptions. The timedomain forward scattered field defines an impulse response. Energy conservation shows that this impulse response is the kernel of a passive convolution operator, which implies that the Fourier transform of the impulse response is a Herglotz function. The forward scattering sum rule is finally constructed from integral identities for Herglotz functions. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/1593593
 author
 Gustafsson, Mats ^{LU}
 organization
 publishing date
 2010
 type
 Contribution to journal
 publication status
 published
 subject
 in
 Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences
 volume
 466
 issue
 2124
 pages
 3579  3592
 publisher
 Royal Society
 external identifiers

 WOS:000283662900008
 Scopus:78649933381
 ISSN
 13645021
 DOI
 10.1098/rspa.2009.0680
 language
 English
 LU publication?
 yes
 id
 e3d811bedcb74da88de58422e1cfcc50 (old id 1593593)
 date added to LUP
 20100429 11:16:02
 date last changed
 20170101 07:52:10
@article{e3d811bedcb74da88de58422e1cfcc50, abstract = {The forward scattering sum rule relates the extinction cross section integrated over all wavelengths with the polarizability dyadics. It is useful for deriving bounds on the interaction between scatterers and electromagnetic fields, antenna bandwidth and directivity and energy transmission through subwavelength apertures. The sum rule is valid for linearly polarized plane waves impinging on linear, passive and time translational invariant scattering objects in free space. Here, a timedomain approach is used to clarify the derivation and the used assumptions. The timedomain forward scattered field defines an impulse response. Energy conservation shows that this impulse response is the kernel of a passive convolution operator, which implies that the Fourier transform of the impulse response is a Herglotz function. The forward scattering sum rule is finally constructed from integral identities for Herglotz functions.}, author = {Gustafsson, Mats}, issn = {13645021}, language = {eng}, number = {2124}, pages = {35793592}, publisher = {Royal Society}, series = {Royal Society of London. Proceedings A. Mathematical, Physical and Engineering Sciences}, title = {Timedomain approach to the forward scattering sum rule}, url = {http://dx.doi.org/10.1098/rspa.2009.0680}, volume = {466}, year = {2010}, }