Directional scattering cancellation for an electrically large dielectric sphere

Carlo Forestiere; Giovanni Miano; Mariano Pascale; Roberto Tricarico

doi:10.1364/OL.44.001972

Optics Letters
Vol. 44,
Issue 8,
pp. 1972-1975
(2019)
•https://doi.org/10.1364/OL.44.001972

Directional scattering cancellation for an electrically large dielectric sphere

Carlo Forestiere, Giovanni Miano, Mariano Pascale, and Roberto Tricarico

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Carlo Forestiere, Giovanni Miano, Mariano Pascale, and Roberto Tricarico, "Directional scattering cancellation for an electrically large dielectric sphere," Opt. Lett. 44, 1972-1975 (2019)

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Abstract

We demonstrate the directional scattering cancellation for a dielectric sphere of radius up to 10 times the incident wavelength, by coating it with a surface of finite conductivity. Specifically, the problem of determining the values of surface conductivity that guarantee destructive interference among hundreds of multipolar scattering orders at the prescribed angular direction is reduced to the determination of the zeros of a polynomial, whose coefficients are analytically known.

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$r / λ$	$N_{\max}$	$ζ_{0} σ$	$ρ = ‖ E (θ = 0) / E (θ = π) ‖ (d B)$
$r / λ$	$N_{\max}$	$ζ_{0} σ$	$s f = 1$	$s f = 2$	$s f = 3$	$s f = 4$	$s f = 5$
0.25	10	$0.19539 + 0.43197 i$	35	52	74	95	113
1	20	$0.43817 + 0.38594 i$	38	57	85	97	119
5	80	$0.88317 + 0.090624 i$	56	71	96	112	136
10	100	$0.89225 + 0.10828 i$	63	75	92	103	107

$r / λ$	$N_{\max}$	$ζ_{0} σ$	$ρ = ‖ E (θ = 0) / E (θ = π) ‖ (d B)$
$r / λ$	$N_{\max}$	$ζ_{0} σ$	$s f = 2$	$s f = 3$	$s f = 4$	$s f = 5$
0.25	10	$- 1.2536 + 1.0063 i$	−27	−48	−66	−80
1	20	$- 2.0095 - 0.82776 i$	−34	−59	−59	−84
5	80	$- 2.0482 + 13.704 i$	−28	−28	−28	−53

$r / λ$	$N_{\max}$	$ζ_{0} σ$	$ρ = ‖ E (θ = 0) / E (θ = π) ‖ (d B)$
$r / λ$	$N_{\max}$	$ζ_{0} σ$	$s f = 1$	$s f = 2$	$s f = 3$	$s f = 4$	$s f = 5$
0.25	10	$0.19539 + 0.43197 i$	35	52	74	95	113
1	20	$0.43817 + 0.38594 i$	38	57	85	97	119
5	80	$0.88317 + 0.090624 i$	56	71	96	112	136
10	100	$0.89225 + 0.10828 i$	63	75	92	103	107

$r / λ$	$N_{\max}$	$ζ_{0} σ$	$ρ = ‖ E (θ = 0) / E (θ = π) ‖ (d B)$
$r / λ$	$N_{\max}$	$ζ_{0} σ$	$s f = 2$	$s f = 3$	$s f = 4$	$s f = 5$
0.25	10	$- 1.2536 + 1.0063 i$	−27	−48	−66	−80
1	20	$- 2.0095 - 0.82776 i$	−34	−59	−59	−84
5	80	$- 2.0482 + 13.704 i$	−28	−28	−28	−53

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Equations (19)

Optics Letters