Sum rules and physical bounds in electromagnetic theory

Summary, in English

Sum rules are useful in many branches of physics and engineering as they relate all spectrum parameter values with their asymptotic expansions. Properties of the dynamic response can hence be inferred by the, in many cases much simpler, static response. This has e.g., been used for lossless matching networks, radar absorbers, extinction cross section, partial realized gain of antennas, high-impedance surfaces, transmission cross section, transmission coefficients, and temporal dispersion of metamaterials. Here, several sum rules and their associated physical bounds are reviewed and it is shown that integral identities for Herglotz functions offer a unified approach in deriving them.

• Author: Mats Gustafsson; Daniel Sjöberg; Anders Bernland; Gerhard Kristensson; Christian Sohl
• Department/s: Department of Electrical and Information Technology
• Publishing year: 2010
• Language: English
• Pages: 37-40
• Publication/Series: [Host publication title missing]
• Links: http://dx.doi.org/10.1109/URSI-EMTS.2010.5637030
• Document type: Conference paper
• Topic: Electrical Engineering, Electronic Engineering, Information Engineering
• Conference name: International Symposium on Electromagnetic Theory, 2010
• Conference date: 2010-08-16 - 2010-08-19
• Conference place: Berlin, Germany
• Status: Published
• Research group: Electromagnetic theory