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Maximizing the Electromagnetic Chirality of Thin Dielectric Tubes

Any time-harmonic electromagnetic wave can be uniquely decomposed into left and right circularly polarized components. The concept of electromagnetic chirality (em-chirality) describes differences in the interaction of these two components with a scattering object or medium. Such differences can be quantified by means of em-chirality measures. These measures attain their minimal value zero for em-achiral objects or media that interact essentially in the same way with left and right circularly polarized waves. Scattering objects or media with positive em-chirality measure interact qualitatively differently with left and right circularly polarized waves, and maximally em-chiral scattering objects or media would not interact with fields of either positive or negative helicity. This paper examines a shape optimization problem, where the goal is to determine thin tubular structures consisting of dielectric isotropic materials that exhibit large measures of em-chirality at a given frequency. We develop a gradient based optimization scheme that uses an asymptotic representation formula for scattered waves due to thin tubular scattering objects. Numerical examples suggest that thin helical structures are at least locally optimal among this class of scattering objects.

Ketersediaan

Informasi Detail

Judul Seri

SIAM JOURNAL ON APPLIED MATHEMATICS; Vol.81 No.5 September - October 2021

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 1979 - 2006

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

SHAPE OPTIMIZATION
ELECTROMAGNETIC SCATTERING
CHIRALITY
MAXIMALLY CHIRAL OBJECTS

Info Detail Spesifik

https://doi.org/10.1137/21M1393509

Pernyataan Tanggungjawab

Tilo Arens, Roland Griesmaier, Marvin Knoller

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