Microsphere-assisted imaging is an extraordinary simple technology that can obtain optical super-resolution under white-light illumination. Here, we introduce a method to improve the resolution of a microsphere lens by increasing its numerical aperture. In our proposed structure, BaTiO3 glass (BTG) microsphere lenses are semi-immersed in a S1805 layer with a refractive index of 1.65, and then, the semi-immersed microspheres are fully embedded in an elastomer with an index of 1.4. We experimentally demonstrate that this structure, in combination with a conventional optical microscope, can clearly resolve a two-dimensional 200-nm-diameter hexagonally close-packed (hcp) silica microsphere array. On the contrary, the widely used structure where BTG microsphere lenses are fully immersed in a liquid or elastomer cannot even resolve a 250-nm-diameter hcp silica microsphere array. The improvement in resolution through the proposed structure is due to an increase in the effective numerical aperture by semi-immersing BTG microsphere lenses in a high-refractive-index S1805 layer. Our results will inform on the design of microsphere-based high-resolution imaging systems.

1.
E.
Betzig
and
J. K.
Trautman
,
Science.
257
,
189
(
1992
).
2.
S. W.
Hell
and
J.
Wichmann
,
Opt. Lett.
19
,
780
(
1994
).
3.
D.
Lu
and
Z.
Liu
,
Nat. Commun.
3
,
1205
(
2012
).
4.
S. M.
Spillane
,
T. J.
Kippenberg
, and
K. J.
Vahala
,
Nature
415
,
621
(
2002
).
5.
J. Y.
Lee
,
B. H.
Hong
,
W. Y.
Kim
,
S. K.
Min
,
Y.
Kim
,
M. V.
Jouravlev
,
R.
Bose
,
K. S.
Kim
,
I.-C.
Hwang
, and
L. J.
Kaufman
,
Nature
460
,
498
(
2009
).
6.
J. J.
Schwartz
,
S.
Stavrakis
, and
S. R.
Quake
,
Nat. Nanotechnol.
5
,
127
(
2010
).
7.
Z.
Wang
,
W.
Guo
,
L.
Li
,
B.
Luk'Yanchuk
,
A.
Khan
,
Z.
Liu
,
Z.
Chen
, and
M.
Hong
,
Nat. Commun.
2
,
218
(
2011
).
8.
A.
Vlad
,
I.
Huynen
, and
S.
Melinte
,
Nanotechnology
23
,
285708
(
2012
).
9.
A. V.
Maslov
and
V. N.
Astratov
,
Appl. Phys. Lett.
110
,
261107
(
2017
).
10.
S.
You
,
C.
Kuang
, and
B.
Zhang
,
Sci. Rep.
6
,
33764
(
2016
).
11.
L.
Li
,
W.
Guo
,
Y.
Yan
,
S.
Lee
, and
T.
Wang
,
Light: Sci. Appl.
2
,
e104
(
2013
).
12.
A. V.
Maslov
and
V. N.
Astratov
,
Appl. Phys. Lett.
108
,
051104
(
2016
).
13.
F.
Wang
,
L.
Liu
,
H.
Yu
,
Y.
Wen
,
P.
Yu
,
Z.
Liu
,
Y.
Wang
, and
W. J.
Li
,
Nat. Commun.
7
,
13748
(
2016
).
14.
M.
Wu
,
R.
Chen
,
J.
Soh
,
Y.
Shen
,
L.
Jiao
,
J.
Wu
,
X.
Chen
,
R.
Ji
, and
M.
Hong
,
Sci. Rep.
6
,
31637
(
2016
).
15.
J.
Li
,
W.
Liu
,
T.
Li
,
I.
Rozen
,
J.
Zhao
,
B.
Bahari
,
B.
Kante
, and
J.
Wang
,
Nano Lett.
16
,
6604
(
2016
).
16.
H. S.
Sam Lai
,
F.
Wang
,
Y.
Li
,
B.
Jia
,
L.
Liu
, and
W. J.
Li
,
PLoS ONE
11
,
e0165194
(
2016
).
17.
18.
Z.
Chen
,
A.
Taflove
, and
V.
Backman
,
Opt. Express
12
,
1214
(
2004
).
19.
E.
Mcleod
and
C. B.
Arnold
,
Nat. Nanotechnol.
3
,
413
(
2008
).
20.
P.
Ferrand
,
J.
Wenger
,
A.
Devilez
,
M.
Pianta
,
B.
Stout
,
N.
Bonod
,
E.
Popov
, and
H.
Rigneault
,
Opt. Express
16
,
6930
(
2008
).
21.
H.
Yang
,
R.
Trouillon
,
G.
Huszka
, and
M. A.
Gijs
,
Nano Lett.
16
,
4862
(
2016
).
22.
M.
Tsang
and
D.
Psaltis
,
Opt. Lett.
32
,
86
(
2007
).
23.
M.
Guo
,
Y. H.
Ye
,
J.
Hou
,
B.
Du
, and
T.
Wang
,
Opt. Commun.
383
,
153
(
2017
).
24.
S. M.
Mansfield
and
G. S.
Kino
,
Appl. Phys. Lett.
57
,
2615
(
1990
).
25.
X.
Hao
,
C.
Kuang
,
X.
Liu
,
H.
Zhang
, and
Y.
Li
,
Appl. Phys. Lett.
99
,
203102
(
2011
).
26.
A.
Darafsheh
,
N. I.
Limberopoulos
,
J. S.
Derov
,
D. E.
Walker
, Jr.
, and
V. N.
Astratov
,
Appl. Phys. Lett.
104
,
061117
(
2014
).
27.
A.
Darafsheh
,
G. F.
Walsh
,
L. D.
Negro
, and
V. N.
Astratov
,
Appl. Phys. Lett.
101
,
141128
(
2012
).
28.
A.
Darafsheh
,
C.
Guardiola
,
A.
Plovcak
,
J. C.
Finlay
, and
A.
Carabe
,
Opt. Lett.
40
,
5
(
2015
).
29.
K. W.
Allen
,
N.
Farahi
,
Y.
Li
,
N. I.
Limberopoulos
,
D. E.
Walker
, Jr.
,
A. M.
Urbas
,
V.
Liberman
, and
V. N.
Astratov
,
Ann. Phys. (Berlin)
527
,
513
(
2015
).
30.
R.
Ye
,
Y. H.
Ye
,
Z.
Zhou
, and
H.
Xu
,
Langmuir
29
,
1796
(
2013
).
31.
A.
Darafsheh
, “
Optical super-resolution and periodical focusing effects by dielectric microspheres
,” Ph.D. dissertation (
University of North Carolina at Charlotte
,
2013
).
32.
A.
Darafsheh
,
Ann. Phys. (Berlin)
528
,
898
(
2016
).
33.
H.
Raether
,
Surface Plasmons on Smooth and Rough Surfaces and on Gratings
(
Springer-Verlag
,
Berlin
,
1988
), pp.
8
11
.
34.
K. W.
Allen
,
N.
Farahi
,
Y.
Li
,
N. I.
Limberopoulos
,
D. E.
Walker
, Jr.
,
A. M.
Urbas
, and
V. N.
Astratov
,
Opt. Express
23
,
24484
(
2015
).
35.
M.
Born
and
E.
Wolf
,
Principles of Optics
(
Cambridge University Press
,
Cambridge
,
2002
), Chaps. VI–VIII.
36.
A.
Darafsheh
and
D.
Bollinger
,
Opt. Commun.
402
,
270
(
2017
).
37.
S.
Lee
,
L.
Li
,
Z.
Wang
,
W.
Guo
,
Y.
Yan
, and
T.
Wang
,
Appl. Opt.
52
,
7265
(
2013
).
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