We provide the rigorous derivation of spectral dependence of scattering cross section for system of spherical all-dielectric nanoparticles with inhomogeneous dielectric function using resonant-state expansion. We show that in general the scattering spectrum represents a cascade of Fano resonances described by three real-valued independent parameters.

1.
U.
Fano
,
Physical Review
124
, p.
1866
(
1961
).
3.
M.
Galli
,
S.
Portalupi
,
M.
Belotti
,
L.
Andreani
,
L.
O’Faolain
, and
T.
Krauss
,
Applied Physics Letters
94
, p.
071101
(
2009
).
4.
M.
Rybin
,
A.
Khanikaev
,
M.
Inoue
,
K.
Samusev
,
M.
Steel
,
G.
Yushin
, and
M.
Limonov
,
Physical review letters
103
, p.
023901
(
2009
).
5.
W.
Zhou
,
D.
Zhao
,
Y.-C.
Shuai
,
H.
Yang
,
S.
Chuwongin
,
A.
Chadha
,
J.-H.
Seo
,
K. X.
Wang
,
V.
Liu
,
Z.
Ma
, et al,
Progress in Quantum Electronics
38
,
1
74
(
2014
).
6.
S.
Fan
,
Applied Physics Letters
80
,
908
910
(
2002
).
7.
C.-Y.
Chao
and
L. J.
Guo
,
Applied Physics Letters
83
,
1527
1529
(
2003
).
8.
M.
Doost
,
W.
Langbein
, and
E. A.
Muljarov
,
Physical Review A
90
, p.
013834
(
2014
).
9.
M. V.
Rybin
,
P. V.
Kapitanova
,
D. S.
Filonov
,
A. P.
Slobozhanyuk
,
P. A.
Belov
,
Y. S.
Kivshar
, and
M. F.
Limonov
,
Physical Review B
88
, p.
205106
(
2013
).
This content is only available via PDF.
You do not currently have access to this content.