Optical pulse dynamics in active metamaterials with positive and negative refractive index

We study numerically the propagation of two-color light pulses through a metamaterial doped with active atoms such that the carrier frequencies of the pulses are in resonance with two atomic transitions in the Λ configuration and that one color propagates in the regime of positive refraction and the other in the regime of negative refraction. In such a metamaterial, one resonant color of light propagates with positive and the other with negative group velocity. We investigate nonlinear interaction of these forward- and backward-propagating waves and find self-trapped waves, counterpropagating radiation waves, and hot spots of medium excitation.

[1]  V. Veselago.  The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[2]  J. Eberly,et al.  Optical resonance and two-level atoms , 1975 .

[3]  C. cohen-tannoudji,et al.  Quantum Mechanics: , 2020, Fundamentals of Physics II.

[4]  M. J. Konopnicki,et al.  Simultaneous propagation of short different-wavelength optical pulses , 1981 .

[5]  A. Maimistov,et al.  Coherent interaction of light pulses with a three-level medium , 1985 .

[6]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[7]  Willie J Padilla,et al.  Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.

[8]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[9]  R. Shelby,et al.  Experimental Verification of a Negative Index of Refraction , 2001, Science.

[10]  R. Ziolkowski,et al.  Wave propagation in media having negative permittivity and permeability. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  C. Soukoulis,et al.  Numerical studies of left-handed materials and arrays of split ring resonators. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Optomagnetic composite medium with conducting nanoelements , 2002, cond-mat/0205331.

[13]  I. Gabitov,et al.  Polarization switching of light interacting with a degenerate two-level optical medium , 2003 .

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

[15]  J. Kong,et al.  Cerenkov radiation in materials with negative permittivity and permeability. , 2003, Optics express.

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

[17]  David R. Smith,et al.  Metamaterials and Negative Refractive Index , 2004, Science.

[18]  A. Lakhtakia,et al.  Plane waves with negative phase velocity in Faraday chiral mediums. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Y. Kivshar,et al.  Nonlinear surface waves in left-handed materials. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  J. Pendry.  A Chiral Route to Negative Refraction , 2004, Science.

[21]  V. Podolskiy,et al.  Near-sighted superlens. , 2004, Optics letters.

[22]  V. Podolskiy,et al.  Strongly anisotropic waveguide as a nonmagnetic left-handed system , 2005 .

[23]  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.

[24]  K. Malloy,et al.  Experimental demonstration of near-infrared negative-index metamaterials. , 2005, Physical review letters.

[25]  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 .

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

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

[28]  I. Gabitov,et al.  Quadratic Solitons in Negative Refractive Index Medium , 2006, nlin/0604015.

[29]  V. Shalaev,et al.  Double-resonant optical materials with embedded metal nanostructures , 2006 .

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

[31]  David R. Smith,et al.  Metamaterial Electromagnetic Cloak at Microwave Frequencies , 2006, Science.

[32]  David R. Smith,et al.  Homogenization of metamaterials by field averaging (invited paper) , 2006 .

[33]  A. Kildishev,et al.  Negative-Index Metamaterials: Going Optical , 2006, IEEE Journal of Selected Topics in Quantum Electronics.

[34]  Vladimir M. Shalaev,et al.  Optical cloaking with metamaterials , 2006, physics/0611242.

[35]  I. Gabitov,et al.  Solitary waves in plasmonic Bragg gratings , 2007, nlin/0702049.

[36]  I. Gabitov,et al.  Nonlinear optical effects in artificial materials , 2007, nlin/0702023.

[37]  I. Gabitov,et al.  Optical bistability in a nonlinear optical coupler with a negative index channel. , 2007, Physical review letters.

[38]  V. Shalaev,et al.  Effect of an optical negative index thin film on optical bistability. , 2006, Optics letters.

[39]  V. Shalaev.  Optical negative-index metamaterials , 2007 .

[40]  Quadratic solitons in media with negative refractive index , 2007 .

[41]  I. Gabitov,et al.  Solitary waves in a nonlinear oppositely directed coupler , 2008 .

[42]  I. Gabitov,et al.  Coherent Amplification of Optical Pulses in Metamaterials , 2009, IEEE Journal of Selected Topics in Quantum Electronics.

[43]  U. Chettiar,et al.  Loss-free and active optical negative-index metamaterials , 2010, Nature.

[44]  A. Kildishev,et al.  Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials , 2012, Proceedings of the National Academy of Sciences.

[45]  N. Zheludev,et al.  From metamaterials to metadevices. , 2012, Nature materials.

[46]  L. Sevgi,et al.  Metamaterials: Definitions, properties, applications, and FDTD‐based modeling and simulation (Invited paper) , 2012 .