Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

Summary, in English

An experimental approach to investigate the forward scattering sum rule for periodic structures is presented. This approach allows

an upper bound on the total cross section integrated over a bandwidth from a simple static problem to be found. Based on energy conservation, the optical

theorem is used to construct a relation between the total cross section and the forward scattering of periodic structures as well as single scatterers inside a parallel plate waveguide. Dynamic measurements are performed using a parallel plate waveguide and a parallel plate capacitor is utilized to find the static polarizability.

Convex optimization is introduced to identify the total cross section in the dynamic measurements and estimate an optimal lower bound on the polarizability for objects. The results show that the interactions between the electromagnetic field and an object over all wavelength are given by the static polarizability of the object.

• Author: Iman Vakili; Mats Gustafsson; Daniel Sjöberg; Rebecca Seviour; Martin Nilsson; Sven Nordebo
• Department/s: Department of Electrical and Information Technology
• Publishing year: 2014
• Language: English
• Pages: 2574-2582
• Publication/Series: IEEE Transactions on Microwave Theory and Techniques
• Volume: 62
• Issue: 11
• Links: http://dx.doi.org/10.1109/TMTT.2014.2354592
• Document type: Journal article
• Publisher: IEEE - Institute of Electrical and Electronics Engineers Inc.
• Topic: Electrical Engineering, Electronic Engineering, Information Engineering
• Status: Published
• Research group: Electromagnetic theory
• ISBN/ISSN/Other: ISSN: 0018-9480