Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

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

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

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Abstract

An experimental approach to verify 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 scattering in the dynamic measurements. The results show that
the all spectrum interaction between the electromagnetic field and an object are proportional to the static polarizability of the object.

Original language	English
Publisher	[Publisher information missing]
Number of pages	20
Volume	TEAT-7229
Publication status	Published - 2014

Publication series

Name	Technical Report LUTEDX/(TEAT-7229)/1-20/(2014)
Volume	TEAT-7229

Bibliographical note

Published version: IEEE Transactions on Microwave Theory and Techniques, Vol. 62, No. 11, pp. 2574-2582, 2014.

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

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This output contributes to the following UN Sustainable Development Goals (SDGs)

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TEAT-7229

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

abstract = "An experimental approach to verify 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 scattering in the dynamic measurements. The results show that the all spectrum interaction between the electromagnetic field and an object are proportional to 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",

note = "Published version: IEEE Transactions on Microwave Theory and Techniques, Vol. 62, No. 11, pp. 2574-2582, 2014.",

year = "2014",

language = "English",

volume = "TEAT-7229",

series = "Technical Report LUTEDX/(TEAT-7229)/1-20/(2014)",

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T1 - Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

AU - Vakili, Iman

AU - Gustafsson, Mats

AU - Sjöberg, Daniel

AU - Seviour, Rebecca

AU - Nilsson, Martin

AU - Nordebo, Sven

N1 - Published version: IEEE Transactions on Microwave Theory and Techniques, Vol. 62, No. 11, pp. 2574-2582, 2014.

PY - 2014

Y1 - 2014

N2 - An experimental approach to verify 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 scattering in the dynamic measurements. The results show that the all spectrum interaction between the electromagnetic field and an object are proportional to the static polarizability of the object.

AB - An experimental approach to verify 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 scattering in the dynamic measurements. The results show that the all spectrum interaction between the electromagnetic field and an object are proportional to the static polarizability of the object.

M3 - Report

VL - TEAT-7229

T3 - Technical Report LUTEDX/(TEAT-7229)/1-20/(2014)

BT - Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

PB - [Publisher information missing]

ER -

Sum Rules for Parallel Plate Waveguides: Experimental Results and Theory

Abstract

Publication series

Bibliographical note

Subject classification (UKÄ)

UN SDGs

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Cite this