Study of metamaterial-based nonlinear optics

Metamaterials (MMs) are artificial structures that display properties beyond those available in naturally occurring materials. The most notable MM is the negative-index material with simultaneously negative electric and magnetic responses. Recently, MMs exhibiting negative electric and magnetic properties in the infrared and optical frequencies have been realized, which will affect substantially the conventional optics and their applications in devices of compact cavities, adaptive lenses, tunable mirrors, isolators, converters, and so on. Moreover, MMs with nonlinear electric and/or magnetic response have also been demonstrated. This will further stimulate intense investigation in MM-based nonlinear optics due to the richness and the potential applications of the nonlinear property of MMs. In this paper, we report on our recent progress on investigation of some typical third-order nonlinear optical phenomena in MMs, such as modulation instability, soliton propagation, self-focusing, and so on. The controllability and the novel properties of the nonlinear phenomena in MMs are demonstrated.

[1]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[2]  Michael Scalora,et al.  Dispersion-free pulse propagation in a negative-index material. , 2005, Optics letters.

[3]  P. Berman,et al.  Goos-Hänchen shift in negatively refractive media. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Y. Kivshar,et al.  Nonlinear properties of left-handed metamaterials. , 2003, Physical review letters.

[5]  M. S. Syrchin,et al.  Generalized nonlinear Schrödinger equation for dispersive susceptibility and permeability: application to negative index materials. , 2005, Physical review letters.

[6]  Nick Lazarides,et al.  Coupled nonlinear Schrodinger field equations for electromagnetic wave propagation in nonlinear left-handed materials. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Rainer Leonhardt,et al.  Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber. , 2003, Optics letters.

[8]  M. Wegener,et al.  Second-Harmonic Generation from Magnetic Metamaterials , 2006, Science.

[9]  Y. Kivshar,et al.  Guided modes in negative refractive index waveguides , 2002, Conference on Lasers and Electro-Optics, 2003. CLEO '03..

[10]  Shuangchun Wen,et al.  Influence of nonlinear dispersion on modulation instability of coherent and partially coherent ultrashort pulses in metamaterials , 2007 .

[11]  F. Krausz,et al.  NONLINEAR OPTICAL PULSE PROPAGATION IN THE SINGLE-CYCLE REGIME , 1997 .

[12]  R. Baughman,et al.  Linear and nonlinear wave propagation in negative refraction metamaterials , 2003 .

[13]  U. Chettiar,et al.  Negative index of refraction in optical metamaterials. , 2005, Optics letters.

[14]  Marc Haelterman,et al.  Modulational instability induced by cavity boundary conditions in a normally dispersive optical fiber , 1997 .

[15]  V. Shalaev,et al.  Negative-index metamaterials: second-harmonic generation, Manley–Rowe relations and parametric amplification , 2006, physics/0601055.

[16]  M. Wegener,et al.  Negative-index metamaterial at 780 nm wavelength. , 2006, Optics letters.

[17]  Peter Leth Christiansen,et al.  Modulational instability in optical fibers near the zero dispersion point , 1994 .

[18]  I Kourakis,et al.  Nonlinear propagation of electromagnetic waves in negative-refraction-index composite materials. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Shuangchun Wen,et al.  Spatiotemporal instabilities in nonlinear Kerr media in the presence of arbitrary higher-order dispersions , 2002 .

[20]  D. Fan,et al.  Theoretical models for ultrashort electromagnetic pulse propagation in nonlinear metamaterials , 2007 .

[21]  Shuang Zhang,et al.  Optical negative index metamaterials with improved performance , 2006, 2006 Conference on Lasers and Electro-Optics and 2006 Quantum Electronics and Laser Science Conference.

[22]  Takuo Tanemura,et al.  Modulational instability and parametric amplification induced by loss dispersion in optical fibers. , 2004, Physical review letters.

[23]  D. Fan,et al.  Modulation instability in nonlinear negative-index material. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[24]  Michael Scalora,et al.  Bright and dark gap solitons in a negative index Fabry-Pérot etalon. , 2004, Physical review letters.

[25]  Stefan Linden,et al.  Experiments on second- and third-harmonic generation from magnetic metamaterials. , 2008, Optics express.

[26]  Agrawal,et al.  Modulation instability induced by cross-phase modulation. , 1987, Physical review letters.

[27]  Hasegawa,et al.  Observation of modulational instability in optical fibers. , 1986, Physical review letters.

[28]  M. S. Syrchin,et al.  Erratum: Generalized Nonlinear Schrödinger Equation for Dispersive Susceptibility and Permeability: Application to Negative Index Materials [Phys. Rev. Lett.95, 013902 (2005)] , 2005 .

[29]  Shuangchun Wen,et al.  Role of the anomalous self-steepening effect in modulation instability in negative-index material. , 2006, Optics express.