We show that the optical properties of a metal-nonlinear dielectric grating can be precisely described by a uniform nonlinear dielectric slab. Based upon such a metamaterial mapping, we show that the effective optical nonlinearity in a metal-dielectric grating can be enhanced by orders of magnitude higher than that of the underlying nonlinear dielectric material, is broadband, and can be operated at a low quality-factor regime so as to have an extremely short intrinsic temporal response of a few picoseconds. Furthermore, we demonstrate extraordinary harmonic generation efficiency enhancement and large threshold-power reduction in bistability.
REFERENCES
1.
H. A.
Haus
, Waves and Fields in Optoelectronics
(Prentice-Hall
, Englewood Cliffs, NJ
, 1984
).2.
A.
Yariv
, Optical Electronics in Modern Communications
, 5th ed. (Oxford University Press
, New York, NY
, 1997
).3.
M.
Soljačić
and J. D.
Joannopoulos
, Nature Mater.
3
, 211
(2004
).4.
5.
J. B.
Pendry
, A. J.
Holden
, D. J.
Robbins
, and W. J.
Stewart
, IEEE Trans. Microwave Theory Tech.
47
, 2075
(1999
).6.
M.
Notomi
, K.
Yamada
, A.
Shinya
, J.
Takahashi
, C.
Takahashi
, and I.
Yokohama
, Phys. Rev. Lett.
87
, 253902
(2001
).7.
K.
Inoue
, N.
Kawai
, Y.
Sugimoto
, N.
Carlsson
, N.
Ikeda
, and K.
Asakawa
, Phys. Rev. B
65
, 121308R
(2002
).8.
S. M.
Spillane
, T. J.
Kippenberg
, and K. J.
Vahala
, Nature (London)
415
, 621
(2002
).9.
D. K.
Armani
, T. J.
Kippenberg
, S. M.
Spillane
, and K. J.
Vahala
, Nature (London)
421
, 925
(2003
).10.
Y.
Akahane
, T.
Asano
, B.-S.
Song
, and S.
Noda
, Nature (London)
425
, 944
(2003
).11.
Q.
Xu
, V. R.
Almeida
, R. R.
Panepucci
, and M.
Lipson
, Opt. Lett.
29
, 1626
(2004
).12.
J. D.
Joannopoulos
, S. G.
Johnson
, J. N.
Winn
, and R. D.
Meade
, Photonic Crystals: Molding the Flow of Light
, 2nd ed. (Princeton University Press
, Princeton, NJ
, 2008
).13.
A.
Yariv
, Y.
Xu
, R. K.
Lee
, and A.
Scherer
, Opt. Lett.
24
, 711
(1999
).14.
M.
Bayindir
, B.
Temelkuran
, and E.
Ozbay
, Phys. Rev. Lett.
84
, 2140
(2000
).15.
M.
Soljačić
, S. G.
Johnson
, S.
Fan
, M.
Ibanescu
, E.
Ippen
, and J. D.
Joannopoulos
, J. Opt. Soc. Am. B
19
, 2052
(2002
).16.
V. R.
Almeida
, Q.
Xu
, C. A.
Barrios
, and M.
Lipson
, Opt. Lett.
29
, 1209
(2004
).17.
N.-N.
Feng
, J.
Michel
, and L.
Kimerling
, IEEE J. Quantum Electron.
42
, 885
(2006
).18.
J. A.
Porto
, F. J.
García-Vidal
, and J. B.
Pendry
, Phys. Rev. Lett.
83
, 2845
(1999
).19.
J. T.
Shen
, P. B.
Catrysse
, and S.
Fan
, Phys. Rev. Lett.
94
, 197401
(2005
).20.
A.
Pimenov
and A.
Loidl
, Phys. Rev. B
74
, 193102
(2006
).21.
J. A.
Porto
, L.
Martín-Moreno
, and F. J.
García-Vidal
, Phys. Rev. B
70
, 081402
(2004
).22.
Y.
Liu
, G.
Bartal
, D. A.
Genov
, and X.
Zhang
, Phys. Rev. Lett.
99
, 153901
(2007
).23.
D. R.
Smith
and J. B.
Pendry
, J. Opt. Soc. Am. B
23
, 391
(2006
).24.
J. T.
Shen
and P. M.
Platzman
, Phys. Rev. B
70
, 035101
(2004
).25.
A.
Taflove
and S. C.
Hagness
, Computational Electrodynamics: The Finite-Difference Time-Domain Method
, 3rd ed. (Artech House, Inc.
, Norwood, MA
, 2005
).26.
J. M.
Weber
, Handbook of Optical Materials
(CRC
, Boca Raton, FL
, 2002
).27.
28.
H. M.
Gibbs
, Optical Bistability: Controlling Light with Light
(Academic
, Orlando
, 1985
).29.
A. D.
Rakić
, A. B.
Djurišić
, J. M.
Elazar
, and M. L.
Majewski
, Appl. Opt.
37
, 5271
(1998
).30.
P. D.
Maker
, R. W.
Terhune
, M.
Nisenoff
, and C. M.
Savage
, Phys. Rev. Lett.
8
, 21
(1962
).31.
J.
Jerphagnon
and S. K.
Kurtz
, J. Appl. Phys.
41
, 1667
(1970
).© 2013 American Institute of Physics.
2013
American Institute of Physics
You do not currently have access to this content.