Scattering of cylindrical waves by a chiral-coated cylindrical reflector placed in chiral background

Z. A. Awan

doi:10.1364/AO.56.004130

Applied Optics
Vol. 56,
Issue 14,
pp. 4130-4137
(2017)
•https://doi.org/10.1364/AO.56.004130

Scattering of cylindrical waves by a chiral-coated cylindrical reflector placed in chiral background

Z. A. Awan

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Z. A. Awan, "Scattering of cylindrical waves by a chiral-coated cylindrical reflector placed in chiral background," Appl. Opt. 56, 4130-4137 (2017)

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Abstract

The scattering of cylindrical waves by a chiral-coated cylindrical reflector placed in chiral background has been investigated using numerical simulations. The expressions for electric and magnetic fields inside the chiral coating and in the chiral background have been derived using the wavefield decomposition approach. It is postulated that the scattering gain can be controlled by varying the cylindrical wave source location, thickness of coating, chirality of coating, and chirality of background medium. It is shown that by increasing the chirality of coating for a chiral-coated cylindrical reflector placed in free space, the scattering gain in the forward direction increases, whereas the scattering gain in the backward direction decreases. It is further asserted that a strong chiral-coated cylindrical reflector placed in a certain chiral background guides most of the scattered field toward the rear side of the reflector. It is also observed that the scattering gain pattern becomes isotropic provided the chiral, strong chiral, and chiral nihility coated cylindrical reflectors are placed in a chiral nihility background. A cloaking phenomenon associated with a chiral-coated reflector placed in a chiral background at a specific observation angle is also discussed.

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Equations (25)

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Types of Coating Layers	$G_{s} (ϕ = 0 °)$	$G_{s} (ϕ = 180 °)$
Magneto-dielectric ( $ε_{r 3} = 1.5$ , $μ_{r 3} = 1.5$ )	−1.7810	3.2894
DNG( $ε_{r 3} = - 1.5$ , $μ_{r 3} = - 1.5$ )	12.9090	−13.8500
ENG( $ε_{r 3} = - 1.5$ , $μ_{r 3} = 1.5$ )	0.5944	−1.9458
MNG( $ε_{r 3} = 1.5$ , $μ_{r 3} = - 1.5$ )	−2.6045	3.7800
DNZ( $ε_{r 3} = 10^{- 3}$ , $μ_{r 3} = 10^{- 3}$ )	5.5786	−49.1130
ENZ( $ε_{r 3} = 10^{- 3}$ , $μ_{r 3} = 1.5$ )	2.7347	−40.2271
MNZ( $ε_{r 3} = 1.5$ , $μ_{r 1} = 10^{- 3}$ )	5.5786	−49.1112

Types of Chiral Coatings	$G_{s} (ϕ = 0 °)$	$G_{s} (ϕ = 180 °)$
chiral( $κ_{r 3} = 0.35$ )	−4.3540	0.4328
chiral( $κ_{r 3} = 0.70$ )	−2.1331	−3.7939
chiral( $κ_{r 3} = 0.99$ )	−1.0315	−10.0939
strong chiral( $κ_{r 3} = 1.5$ )	4.5031	5.9873
chiral nihility( $κ_{r 3} = 0.5$ )	5.4810	−15.3831

Chiral Coatings and Chiral Background	$G_{s} (ϕ = 0 °)$	$G_{s} (ϕ = 180 °)$
( $κ_{r 3} = 0.99$ , $κ_{r 2} = 0.5$ )	−0.4434	−2.0474
( $κ_{r 3} = 0.5$ , $κ_{r 2} = 0.99$ )	2.7338	−19.7278

Types of Coating Layers	$G_{s} (ϕ = 0 °)$	$G_{s} (ϕ = 180 °)$
Magneto-dielectric ( $ε_{r 3} = 1.5$ , $μ_{r 3} = 1.5$ )	−1.7810	3.2894
DNG( $ε_{r 3} = - 1.5$ , $μ_{r 3} = - 1.5$ )	12.9090	−13.8500
ENG( $ε_{r 3} = - 1.5$ , $μ_{r 3} = 1.5$ )	0.5944	−1.9458
MNG( $ε_{r 3} = 1.5$ , $μ_{r 3} = - 1.5$ )	−2.6045	3.7800
DNZ( $ε_{r 3} = 10^{- 3}$ , $μ_{r 3} = 10^{- 3}$ )	5.5786	−49.1130
ENZ( $ε_{r 3} = 10^{- 3}$ , $μ_{r 3} = 1.5$ )	2.7347	−40.2271
MNZ( $ε_{r 3} = 1.5$ , $μ_{r 1} = 10^{- 3}$ )	5.5786	−49.1112

Types of Chiral Coatings	$G_{s} (ϕ = 0 °)$	$G_{s} (ϕ = 180 °)$
chiral( $κ_{r 3} = 0.35$ )	−4.3540	0.4328
chiral( $κ_{r 3} = 0.70$ )	−2.1331	−3.7939
chiral( $κ_{r 3} = 0.99$ )	−1.0315	−10.0939
strong chiral( $κ_{r 3} = 1.5$ )	4.5031	5.9873
chiral nihility( $κ_{r 3} = 0.5$ )	5.4810	−15.3831

Abstract

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Equations (25)

Applied Optics