Forward and backward helicity scattering coefficients for systems with discrete rotational symmetry

Ivan Fernandez-Corbaton

doi:10.1364/OE.21.029885

Forward and backward helicity scattering coefficients for systems with discrete rotational symmetry

Ivan Fernandez-Corbaton

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

43 Citations (Scopus)

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Abstract

The forward and backward scattering off linear systems with discrete rotational symmetries Rz(2π/n) with n ≥ 3 are shown to be restricted by symmetry reasons. Along the symmetry axis, forward scattering can only be helicity preserving and backward scattering can only be helicity flipping. These restrictions do not exist for n <3. If, in addition to the n ≥ 3 discrete rotational symmetry, the system has duality symmetry (obeys the helicity conservation law), it will exhibit zero backscattering. The results pinpoint the underlying symmetry reasons for some notable scattering properties of Rz(2π/4) symmetric systems that have been reported in the metamaterials and radar literature. Applications to planar metamaterials and solar cells are briefly discussed.

Original language	English
Pages (from-to)	29885-29893
Number of pages	9
Journal	Optics Express
Volume	21
Issue number	24
DOIs	https://doi.org/10.1364/OE.21.029885
Publication status	Published - 2013
Externally published	Yes

Bibliographical note

This paper was published in Optics Express and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/oe/abstract.cfm?uri=oe-21-24-29885. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.

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10.1364/OE.21.029885

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Cite this

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title = "Forward and backward helicity scattering coefficients for systems with discrete rotational symmetry",

abstract = "The forward and backward scattering off linear systems with discrete rotational symmetries Rz(2π/n) with n ≥ 3 are shown to be restricted by symmetry reasons. Along the symmetry axis, forward scattering can only be helicity preserving and backward scattering can only be helicity flipping. These restrictions do not exist for n <3. If, in addition to the n ≥ 3 discrete rotational symmetry, the system has duality symmetry (obeys the helicity conservation law), it will exhibit zero backscattering. The results pinpoint the underlying symmetry reasons for some notable scattering properties of Rz(2π/4) symmetric systems that have been reported in the metamaterials and radar literature. Applications to planar metamaterials and solar cells are briefly discussed.",

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AB - The forward and backward scattering off linear systems with discrete rotational symmetries Rz(2π/n) with n ≥ 3 are shown to be restricted by symmetry reasons. Along the symmetry axis, forward scattering can only be helicity preserving and backward scattering can only be helicity flipping. These restrictions do not exist for n <3. If, in addition to the n ≥ 3 discrete rotational symmetry, the system has duality symmetry (obeys the helicity conservation law), it will exhibit zero backscattering. The results pinpoint the underlying symmetry reasons for some notable scattering properties of Rz(2π/4) symmetric systems that have been reported in the metamaterials and radar literature. Applications to planar metamaterials and solar cells are briefly discussed.

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Forward and backward helicity scattering coefficients for systems with discrete rotational symmetry

Abstract

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