An overview of some recent physical bounds in scattering and antenna theory
Conference: EuCAP 2009 - 3rd European Conference on Antennas and Propagation
03/23/2009 - 03/27/2009 at Berlin, Germany
Proceedings: EuCAP 2009
Pages: 4Language: englishTyp: PDFPersonal VDE Members are entitled to a 10% discount on this title
Gustafsson, M.; Sohl, C.; Kristensson, G.; Larsson, C.; Bernland, A.; Sjöberg, D. (Department of Electrical and Information Technology, Lund University, P.O. Box 118, S-221 00 Lund, Sweden)
Nordebo, S. (School of Mathematics and Systems Engineering, S-351 95 Växjö, Sweden)
The objective of this paper is to give an overview of some recently developed sum rules and physical bounds in scattering and antenna theory. The sum rules are based on integral identities for Herglotz functions that relate the quantity of interest with its low and high-frequency behavior. The sum rules are transformed to bounds by estimating the integrals and applying variational results to the parameters that appear in the asymptotic expansions. The theoretical findings are exemplified by numerical results for various scattering and antenna configurations.