Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

Iman Vakili; Mats Gustafsson; Daniel Sjöberg; Rebecca Seviour; Martin Nilsson; Sven Nordebo

doi:10.1109/TMTT.2014.2354592

Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

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

Department of Electrical and Information Technology

Research output: Contribution to journal › Article › peer-review

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 wavelength are given by the static polarizability of the object.

Original language	English
Pages (from-to)	2574-2582
Journal	IEEE Transactions on Microwave Theory and Techniques
Volume	62
Issue number	11
DOIs	https://doi.org/10.1109/TMTT.2014.2354592
Publication status	Published - 2014

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

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10.1109/TMTT.2014.2354592

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title = "Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory",

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 wavelength are given by the static polarizability of the object.",

author = "Iman Vakili and Mats Gustafsson and Daniel Sj{\"o}berg and Rebecca Seviour and Martin Nilsson and Sven Nordebo",

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AU - Vakili, Iman

AU - Gustafsson, Mats

AU - Sjöberg, Daniel

AU - Seviour, Rebecca

AU - Nilsson, Martin

AU - Nordebo, Sven

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

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JO - IEEE Transactions on Microwave Theory and Techniques

JF - IEEE Transactions on Microwave Theory and Techniques

IS - 11

ER -

Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

Abstract

Subject classification (UKÄ)

UN SDGs

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