Emergence of Fano response in trimer structure with asymmetric permittivity

Misael Natanael; Alexander A. Iskandar; Radius N. S. Suryadharma

doi:10.1364/JOSAB.410680

Journal of the Optical Society of America B
Vol. 38,
Issue 2,
pp. 392-400
(2021)
•https://doi.org/10.1364/JOSAB.410680

Emergence of Fano response in trimer structure with asymmetric permittivity

Misael Natanael, Alexander A. Iskandar, and Radius N. S. Suryadharma

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Misael Natanael, Alexander A. Iskandar, and Radius N. S. Suryadharma, "Emergence of Fano response in trimer structure with asymmetric permittivity," J. Opt. Soc. Am. B 38, 392-400 (2021)

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Abstract

In this paper, we discuss the Fano response from a hybrid trimer composed of gold and silicon nanospheres. This allows the structure to exhibit plasmonic properties while having a versatile spectral tuning of its Fano response. We analyze the Fano response from the point of view of the individual subsystem as well as the coupling of supermodes of the structure. The coupling between the sustained non-orthogonal eigenmodes can be traced as a result of these modes sharing the same multipolar moments. With this, we provide insight into designing a hybrid structure with tunable Fano properties.

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Equations (15)

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Eigenmode	Multipolar Components
1	$71 % P_{z} + 24 % M_{y} + 4 % Q_{x z}$
2	$3 % P_{z} + 97 % M_{y}$
3	$94 % P_{x} + 4 % Q_{z z}$
4	$97 % P_{x} + 1 % Q_{x x}$
5	$99 % P_{x}$
6	$76 % P_{z} + 24 % M_{y}$

Eigenmode	Multipolar Components
1	$98 % M_{y}$
2	$20 % P_{z} + 78 % M_{y}$
3	$91 % P_{x} + 2 % Q_{x x} + 6 % Q_{z z}$
4	$99 % P_{x}$
5	$46 % P_{x} + 30 % Q_{x x} + 20 % Q_{y y}$
6	$62 % P_{z} + 38 % M_{y}$

$d_{1}$ (nm)	$C_{s c a}$ ( ${n m}^{2}$ )	$C_{i n t}$ ( ${n m}^{2}$ )	$Δ (\frac{C_{i n t}}{C_{s c a}})$
60	$3.61 \times 10^{5}$	$1.88 \times 10^{5}$	0.191
70	$3.53 \times 10^{5}$	$1.30 \times 10^{5}$	0.038
80	$3.46 \times 10^{5}$	$1.14 \times 10^{5}$	0
90	$3.38 \times 10^{5}$	$9.90 \times 10^{4}$	−0.037
100	$3.32 \times 10^{5}$	$9.64 \times 10^{4}$	−0.040

$d_{2}$ (nm)	$C_{s c a}$ ( ${n m}^{2}$ )	$C_{i n t}$ ( ${n m}^{2}$ )	$Δ (\frac{C_{i n t}}{C_{s c a}})$
45	$3.37 \times 10^{5}$	$1.82 \times 10^{4}$	−0.276
50	$3.41 \times 10^{5}$	$4.79 \times 10^{4}$	−0.189
55	$3.46 \times 10^{5}$	$1.14 \times 10^{5}$	0
60	$3.50 \times 10^{5}$	$2.09 \times 10^{5}$	0.267
65	$3.54 \times 10^{5}$	$4.49 \times 10^{5}$	0.936

Eigenmode	Multipolar Components
1	$71 % P_{z} + 24 % M_{y} + 4 % Q_{x z}$
2	$3 % P_{z} + 97 % M_{y}$
3	$94 % P_{x} + 4 % Q_{z z}$
4	$97 % P_{x} + 1 % Q_{x x}$
5	$99 % P_{x}$
6	$76 % P_{z} + 24 % M_{y}$

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Equations (15)

Journal of the Optical Society of America B