Sum Rules for parallel-plate waveguides

Experimental results and theory

Iman Vakili, Mats Gustafsson, Daniel Sjoberg, Rebecca Seviour, Martin Nilsson, Sven Nordebo

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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 wavelengths are given by the static polarizability of the object.

Original languageEnglish
Article number6905863
Pages (from-to)2574-2582
Number of pages9
JournalIEEE Transactions on Microwave Theory and Techniques
Volume62
Issue number11
DOIs
Publication statusPublished - 1 Nov 2014

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Forward scattering
Periodic structures
parallel plates
sum rules
Waveguides
forward scattering
waveguides
Convex optimization
cross sections
Electromagnetic fields
Energy conservation
Capacitors
energy conservation
Bandwidth
Wavelength
capacitors
electromagnetic fields
theorems
bandwidth
optimization

Cite this

Vakili, Iman ; Gustafsson, Mats ; Sjoberg, Daniel ; Seviour, Rebecca ; Nilsson, Martin ; Nordebo, Sven. / Sum Rules for parallel-plate waveguides : Experimental results and theory. In: IEEE Transactions on Microwave Theory and Techniques. 2014 ; Vol. 62, No. 11. pp. 2574-2582.
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Sum Rules for parallel-plate waveguides : Experimental results and theory. / Vakili, Iman; Gustafsson, Mats; Sjoberg, Daniel; Seviour, Rebecca; Nilsson, Martin; Nordebo, Sven.

In: IEEE Transactions on Microwave Theory and Techniques, Vol. 62, No. 11, 6905863, 01.11.2014, p. 2574-2582.

Research output: Contribution to journalArticle

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