Optical theorem and forward scattering sum rule for periodic structures

Mats Gustafsson; Iman Vakili; Sena Esen Bayer Keskin; Daniel Sjöberg; Christer Larsson

doi:10.1109/TAP.2012.2201113

Optical theorem and forward scattering sum rule for periodic structures

Mats Gustafsson, Iman Vakili, Sena Esen Bayer Keskin, Daniel Sjöberg, Christer Larsson

Department of Electrical and Information Technology

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Abstract

Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using analytic properties of Herglotz functions based on causality and passivity. The sum rule relates the total cross section to the static polarizability per unit cell, and quantifies the interaction between the slab and electromagnetic fields possible over all wavelengths. The results are illustrated with several numerical and experimental examples.

Original language	English
Pages (from-to)	3818-3826
Journal	IEEE Transactions on Antennas and Propagation
Volume	60
Issue number	8
DOIs	https://doi.org/10.1109/TAP.2012.2201113
Publication status	Published - 2012

Subject classification (UKÄ)

Electrical Engineering, Electronic Engineering, Information Engineering

Free keywords

sum rule
cross section
polarizability

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10.1109/TAP.2012.2201113

TEAT-7213Accepted author manuscript, 608 KB

Cite this

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abstract = "Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using analytic properties of Herglotz functions based on causality and passivity. The sum rule relates the total cross section to the static polarizability per unit cell, and quantifies the interaction between the slab and electromagnetic fields possible over all wavelengths. The results are illustrated with several numerical and experimental examples.",

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AU - Vakili, Iman

AU - Bayer Keskin, Sena Esen

AU - Sjöberg, Daniel

AU - Larsson, Christer

PY - 2012

Y1 - 2012

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AB - Based on energy conservation, an optical theorem is constructed for a slab having an arbitrary periodic microstructure in a plane. A sum rule for low pass structures is derived using analytic properties of Herglotz functions based on causality and passivity. The sum rule relates the total cross section to the static polarizability per unit cell, and quantifies the interaction between the slab and electromagnetic fields possible over all wavelengths. The results are illustrated with several numerical and experimental examples.

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KW - cross section

KW - polarizability

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DO - 10.1109/TAP.2012.2201113

M3 - Article

SN - 0018-926X

VL - 60

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EP - 3826

JO - IEEE Transactions on Antennas and Propagation

JF - IEEE Transactions on Antennas and Propagation

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ER -

Optical theorem and forward scattering sum rule for periodic structures

Abstract

Subject classification (UKÄ)

Free keywords

UN SDGs

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