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

Institutionen för elektro- och informationsteknik

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Abstract in Undetermined
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.

Originalspråk	engelska
Sidor (från-till)	3818-3826
Tidskrift	IEEE Transactions on Antennas and Propagation
Volym	60
Nummer	8
DOI	https://doi.org/10.1109/TAP.2012.2201113
Status	Published - 2012

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10.1109/TAP.2012.2201113

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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 - Sjöberg, Daniel

AU - Larsson, Christer

PY - 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 - polarizability

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Optical theorem and forward scattering sum rule for periodic structures

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