We investigate second harmonic (SH) generation in a doubly resonant metamaterial. We show that SH generation can be enhanced when the resonant condition is satisfied for the SH frequency as well as for the fundamental frequency. A unit cell of the doubly resonant metamaterial consists of two coupled resonators, one of which resonates at the fundamental frequency, whereas the other resonates around the SH frequency. We observe that the SH generation in the doubly resonant metamaterial is 4.6 times as large as that in a singly resonant metamaterial.
REFERENCES
1.
N. I.
Zheludev
, Science
328
, 582
(2010
).2.
J. B.
Pendry
, A. J.
Holden
, D. J.
Robbins
, and W. J.
Stewart
, IEEE Trans. Microwave Theory Tech.
47
, 2075
(1999
).3.
M. W.
Klein
, C.
Enkrich
, M.
Wegener
, and S.
Linden
, Science
313
, 502
(2006
).4.
M. W.
Klein
, M.
Wegener
, N.
Feth
, and S.
Linden
, Opt. Express
15
, 5238
(2007
).5.
I. V.
Shadrivov
, A. B.
Kozyrev
, D. W.
van der Weide
, and Y. S.
Kivshar
, Appl. Phys. Lett.
93
, 161903
(2008
).6.
E.
Kim
, F.
Wang
, W.
Wu
, Z.
Yu
, and Y. R.
Shen
, Phys. Rev. B
78
, 113102
(2008
).7.
Z.
Wang
, Y.
Luo
, L.
Peng
, J.
Huangfu
, T.
Jiang
, D.
Wang
, H.
Chen
, and L.
Ran
, Appl. Phys. Lett.
94
, 134102
(2009
).8.
B.
Wang
, J.
Zhou
, T.
Koschny
, and C. M.
Soukoulis
, Opt. Express
16
, 16058
(2008
).9.
D. A.
Powell
, I. V.
Shadrivov
, and Y. S.
Kivshar
, Appl. Phys. Lett.
95
, 084102
(2009
).10.
E.
Poutrina
, D.
Huang
, and D. R.
Smith
, New J. Phys.
12
, 093010
(2010
).11.
R. W.
Ziolkowski
, IEEE Trans. Antennas Propag.
51
, 1516
(2003
).12.
E.
Lule
, T.
Babi
, and K.
Siwiak
, Microwave Opt. Technol. Lett.
46
, 536
(2005
).13.
14.
M. V.
Gorkunov
, I. V.
Shadrivov
, and Y. S.
Kivshar
, Appl. Phys. Lett.
88
, 071912
(2006
).© 2011 American Institute of Physics.
2011
American Institute of Physics
You do not currently have access to this content.