F. Bilotti and L. Sevgi, “Metamaterials: definitions, properties, applications, and FDTD-based modeling and simulation (invited paper),” Int. J. RF Microwave Computer-Aided Eng. 22, 422–438 (2012).

[CrossRef]

N. I. Zheludev and Y. S. Kivshar, “From metamaterials to metadevices,” Nat. Mater. 11, 917–924 (2012).

[CrossRef]

G. V. Naik, J. Liu, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, “Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials,” Proc. Nat. Acad. Sci. 109, 8834–8838 (2012).

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

I. R. Gabitov, B. Kennedy, and A. I. Maimistov, “Coherent amplification of optical pulses in metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 401–409 (2010).

[CrossRef]

A. Maimistov, I. Gabitov, and N. Litchinitser, “Solitary waves in nonlinear oppositely directed coupler,” Opt. Spectrosc. 104, 253–257 (2008).

[CrossRef]

A. I. Maimistov, I. R. Gabitov, and E. V. Kazantseva, “Quadratic solitons in negative refractive index medium,” Opt. Spectrosc. 102, 90–97 (2007).

[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photonics 1, 224–227 (2007).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, and A. I. Maimistov, “Optical bistability in a nonlinear optical coupler with a negative index channel,” Phys. Rev. Lett. 99, 113902 (2007).

[CrossRef]

A. I. Maimistov and I. R. Gabitov, “Nonlinear optical effects in artificial materials,” Eur. Phys. J. Spec. Top. 147, 265–286 (2007).

[CrossRef]

I. R. Gabitov, A. I. Maimistov, A. Korotkevich, and J. B. McMahon, “Solitary waves in plasmonic Bragg gratings,” Appl. Phys. A 89, 277–281 (2007).

[CrossRef]

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1, 41–47 (2007).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, A. I. Maimistov, and V. M. Shalaev, “Effect of an optical negative index thin film on optical bistability,” Opt. Lett. 32, 151–153 (2007).

[CrossRef]

I. R. Gabitov, R. Indik, N. M. Litchinitser, A. I. Maimistov, V. M. Shalaev, and J. Soneson, “Double-resonant optical materials with embedded metal nanostructures,” J. Opt. Soc. Am. B 23, 535–542 (2006).

[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

A. K. Popov and V. M. Shalaev, “Negative-index metamaterials: second-harmonic generation, Manley–Rowe relations and parametric amplification,” Appl. Phys. B 84, 131–137 (2006).

[CrossRef]

D. R. Smith and J. B. Pendry, “Homogenization of metamaterials by field averaging,” J. Opt. Soc. Am. 23, 391–403 (2006).

[CrossRef]

T. A. Klar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, “Negative-index metamaterials: going optical,” IEEE J. Sel. Top. Quantum Electron. 12, 1106–1115 (2006).

[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005).

[CrossRef]

V. A. Podolskiy and E. E. Narimanov, “Strongly anisotropic waveguide as a nonmagnetic left-handed system,” Phys. Rev. B 71, 201101 (2005).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

N. Lazarides, and G. P. Tsironis, “Coupled nonlinear Schrodinger field equations for electromagnetic wave propagation in nonlinear left-handed materials,” Phys. Rev. E 71, 036614 (2005).

[CrossRef]

V. A. Podolskiy and E. E. Narimanov, “Near-sighted superlens,” Opt. Lett. 30, 75–77 (2005).

[CrossRef]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).

[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004).

[CrossRef]

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305, 788–792 (2004).

[CrossRef]

V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov, “Linear and nonlinear wave propagation in negative refraction metamaterials,” Phys. Rev. B 69, 165112 (2004).

J. B. Pendry, “A chiral route to negative refraction,” Science 306, 1353–1355 (2004).

[CrossRef]

T. G. Mackay and A. Lakhtakia, “Plane waves with negative phase velocity in Faraday chiral mediums,” Phys. Rev. E 69, 026602 (2004).

[CrossRef]

J. A. Byrne, I. R. Gabitov, and G. Kovačič, “Polarization switching of light interacting with a degenerate two-level optical medium,” Physica D 186, 69–92 (2003).

[CrossRef]

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, “Nonlinear properties of left-handed metamaterials,” Phys. Rev. Lett. 91, 037401 (2003).

[CrossRef]

J. Lu, T. M. Grzegorczyk, Y. Zhang, J. Pacheco, B.-I. Wu, J. A. Kong, and M. Chen, “Čerenkov radiation in materials with negative permittivity and permeability,” Opt. Express 11, 723–734 (2003).

[CrossRef]

P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).

[CrossRef]

L. Panina, A. N. Grigorenko, and D. P. Makhnovskiy, “Optomagnetic composite medium with conducting nanoelements,” Phys. Rev. B 66, 155411 (2002).

[CrossRef]

R. W. Ziolkowski and E. Heyman, “Wave propagation in media having negative permittivity and permeability,” Phys. Rev. E 64, 056625 (2001).

[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).

[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).

[CrossRef]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett 85, 3966–3969 (2000).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).

[CrossRef]

A. I. Maimistov and Y. M. Sklyarov, “Coherent interaction of light pulses with a three-level medium,” Opt. Spectrosc. 59, 459–461 (1985).

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).

[CrossRef]

V. G. Veselago, “Electrodynamics of substances with simultaneously negative values of sigma and mu,” Sov. Phys. Usp. 10, 509–514 (1968).

[CrossRef]

V. G. Veselago, “Properties of materials having simultaneously negative values of dielectric (ξ) and magnetic (μ) susceptibilities,” Sov. Phys. Solid State 8, 2854 (1967).

L. I. Mandelshtam, “Group velocity in crystalline arrays,” Zh. Eksp. Teor. Fiz. 15, 475–478 (1945).

V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov, “Linear and nonlinear wave propagation in negative refraction metamaterials,” Phys. Rev. B 69, 165112 (2004).

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov, “Linear and nonlinear wave propagation in negative refraction metamaterials,” Phys. Rev. B 69, 165112 (2004).

F. Bilotti and L. Sevgi, “Metamaterials: definitions, properties, applications, and FDTD-based modeling and simulation (invited paper),” Int. J. RF Microwave Computer-Aided Eng. 22, 422–438 (2012).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004).

[CrossRef]

G. V. Naik, J. Liu, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, “Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials,” Proc. Nat. Acad. Sci. 109, 8834–8838 (2012).

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005).

[CrossRef]

J. A. Byrne, I. R. Gabitov, and G. Kovačič, “Polarization switching of light interacting with a degenerate two-level optical medium,” Physica D 186, 69–92 (2003).

[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photonics 1, 224–227 (2007).

[CrossRef]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).

[CrossRef]

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photonics 1, 224–227 (2007).

[CrossRef]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).

[CrossRef]

C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics (Wiley, 1977).

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics (Wiley, 1977).

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

T. A. Klar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, “Negative-index metamaterials: going optical,” IEEE J. Sel. Top. Quantum Electron. 12, 1106–1115 (2006).

[CrossRef]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).

[CrossRef]

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).

[CrossRef]

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004).

[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005).

[CrossRef]

A. Maimistov, I. Gabitov, and N. Litchinitser, “Solitary waves in nonlinear oppositely directed coupler,” Opt. Spectrosc. 104, 253–257 (2008).

[CrossRef]

I. R. Gabitov, B. Kennedy, and A. I. Maimistov, “Coherent amplification of optical pulses in metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 401–409 (2010).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, A. I. Maimistov, and V. M. Shalaev, “Effect of an optical negative index thin film on optical bistability,” Opt. Lett. 32, 151–153 (2007).

[CrossRef]

A. I. Maimistov, I. R. Gabitov, and E. V. Kazantseva, “Quadratic solitons in negative refractive index medium,” Opt. Spectrosc. 102, 90–97 (2007).

[CrossRef]

I. R. Gabitov, A. I. Maimistov, A. Korotkevich, and J. B. McMahon, “Solitary waves in plasmonic Bragg gratings,” Appl. Phys. A 89, 277–281 (2007).

[CrossRef]

A. I. Maimistov and I. R. Gabitov, “Nonlinear optical effects in artificial materials,” Eur. Phys. J. Spec. Top. 147, 265–286 (2007).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, and A. I. Maimistov, “Optical bistability in a nonlinear optical coupler with a negative index channel,” Phys. Rev. Lett. 99, 113902 (2007).

[CrossRef]

I. R. Gabitov, R. Indik, N. M. Litchinitser, A. I. Maimistov, V. M. Shalaev, and J. Soneson, “Double-resonant optical materials with embedded metal nanostructures,” J. Opt. Soc. Am. B 23, 535–542 (2006).

[CrossRef]

J. A. Byrne, I. R. Gabitov, and G. Kovačič, “Polarization switching of light interacting with a degenerate two-level optical medium,” Physica D 186, 69–92 (2003).

[CrossRef]

L. Panina, A. N. Grigorenko, and D. P. Makhnovskiy, “Optomagnetic composite medium with conducting nanoelements,” Phys. Rev. B 66, 155411 (2002).

[CrossRef]

R. W. Ziolkowski and E. Heyman, “Wave propagation in media having negative permittivity and permeability,” Phys. Rev. E 64, 056625 (2001).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).

[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

A. I. Maimistov, I. R. Gabitov, and E. V. Kazantseva, “Quadratic solitons in negative refractive index medium,” Opt. Spectrosc. 102, 90–97 (2007).

[CrossRef]

I. R. Gabitov, B. Kennedy, and A. I. Maimistov, “Coherent amplification of optical pulses in metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 401–409 (2010).

[CrossRef]

G. V. Naik, J. Liu, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, “Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials,” Proc. Nat. Acad. Sci. 109, 8834–8838 (2012).

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photonics 1, 224–227 (2007).

[CrossRef]

T. A. Klar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, “Negative-index metamaterials: going optical,” IEEE J. Sel. Top. Quantum Electron. 12, 1106–1115 (2006).

[CrossRef]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).

[CrossRef]

N. I. Zheludev and Y. S. Kivshar, “From metamaterials to metadevices,” Nat. Mater. 11, 917–924 (2012).

[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004).

[CrossRef]

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, “Nonlinear properties of left-handed metamaterials,” Phys. Rev. Lett. 91, 037401 (2003).

[CrossRef]

T. A. Klar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, “Negative-index metamaterials: going optical,” IEEE J. Sel. Top. Quantum Electron. 12, 1106–1115 (2006).

[CrossRef]

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).

[CrossRef]

I. R. Gabitov, A. I. Maimistov, A. Korotkevich, and J. B. McMahon, “Solitary waves in plasmonic Bragg gratings,” Appl. Phys. A 89, 277–281 (2007).

[CrossRef]

J. A. Byrne, I. R. Gabitov, and G. Kovačič, “Polarization switching of light interacting with a degenerate two-level optical medium,” Physica D 186, 69–92 (2003).

[CrossRef]

T. G. Mackay and A. Lakhtakia, “Plane waves with negative phase velocity in Faraday chiral mediums,” Phys. Rev. E 69, 026602 (2004).

[CrossRef]

C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics (Wiley, 1977).

N. Lazarides, and G. P. Tsironis, “Coupled nonlinear Schrodinger field equations for electromagnetic wave propagation in nonlinear left-handed materials,” Phys. Rev. E 71, 036614 (2005).

[CrossRef]

A. Maimistov, I. Gabitov, and N. Litchinitser, “Solitary waves in nonlinear oppositely directed coupler,” Opt. Spectrosc. 104, 253–257 (2008).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, and A. I. Maimistov, “Optical bistability in a nonlinear optical coupler with a negative index channel,” Phys. Rev. Lett. 99, 113902 (2007).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, A. I. Maimistov, and V. M. Shalaev, “Effect of an optical negative index thin film on optical bistability,” Opt. Lett. 32, 151–153 (2007).

[CrossRef]

I. R. Gabitov, R. Indik, N. M. Litchinitser, A. I. Maimistov, V. M. Shalaev, and J. Soneson, “Double-resonant optical materials with embedded metal nanostructures,” J. Opt. Soc. Am. B 23, 535–542 (2006).

[CrossRef]

G. V. Naik, J. Liu, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, “Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials,” Proc. Nat. Acad. Sci. 109, 8834–8838 (2012).

T. G. Mackay and A. Lakhtakia, “Plane waves with negative phase velocity in Faraday chiral mediums,” Phys. Rev. E 69, 026602 (2004).

[CrossRef]

A. Maimistov, I. Gabitov, and N. Litchinitser, “Solitary waves in nonlinear oppositely directed coupler,” Opt. Spectrosc. 104, 253–257 (2008).

[CrossRef]

I. R. Gabitov, B. Kennedy, and A. I. Maimistov, “Coherent amplification of optical pulses in metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 401–409 (2010).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, A. I. Maimistov, and V. M. Shalaev, “Effect of an optical negative index thin film on optical bistability,” Opt. Lett. 32, 151–153 (2007).

[CrossRef]

I. R. Gabitov, A. I. Maimistov, A. Korotkevich, and J. B. McMahon, “Solitary waves in plasmonic Bragg gratings,” Appl. Phys. A 89, 277–281 (2007).

[CrossRef]

A. I. Maimistov, I. R. Gabitov, and E. V. Kazantseva, “Quadratic solitons in negative refractive index medium,” Opt. Spectrosc. 102, 90–97 (2007).

[CrossRef]

A. I. Maimistov and I. R. Gabitov, “Nonlinear optical effects in artificial materials,” Eur. Phys. J. Spec. Top. 147, 265–286 (2007).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, and A. I. Maimistov, “Optical bistability in a nonlinear optical coupler with a negative index channel,” Phys. Rev. Lett. 99, 113902 (2007).

[CrossRef]

I. R. Gabitov, R. Indik, N. M. Litchinitser, A. I. Maimistov, V. M. Shalaev, and J. Soneson, “Double-resonant optical materials with embedded metal nanostructures,” J. Opt. Soc. Am. B 23, 535–542 (2006).

[CrossRef]

A. I. Maimistov and Y. M. Sklyarov, “Coherent interaction of light pulses with a three-level medium,” Opt. Spectrosc. 59, 459–461 (1985).

L. Panina, A. N. Grigorenko, and D. P. Makhnovskiy, “Optomagnetic composite medium with conducting nanoelements,” Phys. Rev. B 66, 155411 (2002).

[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005).

[CrossRef]

L. I. Mandelshtam, “Group velocity in crystalline arrays,” Zh. Eksp. Teor. Fiz. 15, 475–478 (1945).

P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

I. R. Gabitov, A. I. Maimistov, A. Korotkevich, and J. B. McMahon, “Solitary waves in plasmonic Bragg gratings,” Appl. Phys. A 89, 277–281 (2007).

[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

G. V. Naik, J. Liu, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, “Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials,” Proc. Nat. Acad. Sci. 109, 8834–8838 (2012).

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).

[CrossRef]

K. A. Newhall, “Three level atom interaction with external electric field,” (2007) (paper in preparation).

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005).

[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).

[CrossRef]

L. Panina, A. N. Grigorenko, and D. P. Makhnovskiy, “Optomagnetic composite medium with conducting nanoelements,” Phys. Rev. B 66, 155411 (2002).

[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005).

[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

D. R. Smith and J. B. Pendry, “Homogenization of metamaterials by field averaging,” J. Opt. Soc. Am. 23, 391–403 (2006).

[CrossRef]

J. B. Pendry, “A chiral route to negative refraction,” Science 306, 1353–1355 (2004).

[CrossRef]

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305, 788–792 (2004).

[CrossRef]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett 85, 3966–3969 (2000).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

A. K. Popov and V. M. Shalaev, “Negative-index metamaterials: second-harmonic generation, Manley–Rowe relations and parametric amplification,” Appl. Phys. B 84, 131–137 (2006).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).

[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).

[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

F. Bilotti and L. Sevgi, “Metamaterials: definitions, properties, applications, and FDTD-based modeling and simulation (invited paper),” Int. J. RF Microwave Computer-Aided Eng. 22, 422–438 (2012).

[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004).

[CrossRef]

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, “Nonlinear properties of left-handed metamaterials,” Phys. Rev. Lett. 91, 037401 (2003).

[CrossRef]

G. V. Naik, J. Liu, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, “Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials,” Proc. Nat. Acad. Sci. 109, 8834–8838 (2012).

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1, 41–47 (2007).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, A. I. Maimistov, and V. M. Shalaev, “Effect of an optical negative index thin film on optical bistability,” Opt. Lett. 32, 151–153 (2007).

[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photonics 1, 224–227 (2007).

[CrossRef]

I. R. Gabitov, R. Indik, N. M. Litchinitser, A. I. Maimistov, V. M. Shalaev, and J. Soneson, “Double-resonant optical materials with embedded metal nanostructures,” J. Opt. Soc. Am. B 23, 535–542 (2006).

[CrossRef]

A. K. Popov and V. M. Shalaev, “Negative-index metamaterials: second-harmonic generation, Manley–Rowe relations and parametric amplification,” Appl. Phys. B 84, 131–137 (2006).

[CrossRef]

T. A. Klar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, “Negative-index metamaterials: going optical,” IEEE J. Sel. Top. Quantum Electron. 12, 1106–1115 (2006).

[CrossRef]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).

[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).

[CrossRef]

V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov, “Linear and nonlinear wave propagation in negative refraction metamaterials,” Phys. Rev. B 69, 165112 (2004).

A. I. Maimistov and Y. M. Sklyarov, “Coherent interaction of light pulses with a three-level medium,” Opt. Spectrosc. 59, 459–461 (1985).

D. R. Smith and J. B. Pendry, “Homogenization of metamaterials by field averaging,” J. Opt. Soc. Am. 23, 391–403 (2006).

[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305, 788–792 (2004).

[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).

[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).

[CrossRef]

P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).

[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).

[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

N. Lazarides, and G. P. Tsironis, “Coupled nonlinear Schrodinger field equations for electromagnetic wave propagation in nonlinear left-handed materials,” Phys. Rev. E 71, 036614 (2005).

[CrossRef]

V. G. Veselago, “Electrodynamics of substances with simultaneously negative values of sigma and mu,” Sov. Phys. Usp. 10, 509–514 (1968).

[CrossRef]

V. G. Veselago, “Properties of materials having simultaneously negative values of dielectric (ξ) and magnetic (μ) susceptibilities,” Sov. Phys. Solid State 8, 2854 (1967).

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).

[CrossRef]

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305, 788–792 (2004).

[CrossRef]

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov, “Linear and nonlinear wave propagation in negative refraction metamaterials,” Phys. Rev. B 69, 165112 (2004).

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005).

[CrossRef]

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004).

[CrossRef]

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, “Nonlinear properties of left-handed metamaterials,” Phys. Rev. Lett. 91, 037401 (2003).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

N. I. Zheludev and Y. S. Kivshar, “From metamaterials to metadevices,” Nat. Mater. 11, 917–924 (2012).

[CrossRef]

R. W. Ziolkowski and E. Heyman, “Wave propagation in media having negative permittivity and permeability,” Phys. Rev. E 64, 056625 (2001).

[CrossRef]

I. R. Gabitov, A. I. Maimistov, A. Korotkevich, and J. B. McMahon, “Solitary waves in plasmonic Bragg gratings,” Appl. Phys. A 89, 277–281 (2007).

[CrossRef]

A. K. Popov and V. M. Shalaev, “Negative-index metamaterials: second-harmonic generation, Manley–Rowe relations and parametric amplification,” Appl. Phys. B 84, 131–137 (2006).

[CrossRef]

A. I. Maimistov and I. R. Gabitov, “Nonlinear optical effects in artificial materials,” Eur. Phys. J. Spec. Top. 147, 265–286 (2007).

[CrossRef]

I. R. Gabitov, B. Kennedy, and A. I. Maimistov, “Coherent amplification of optical pulses in metamaterials,” IEEE J. Sel. Top. Quantum Electron. 16, 401–409 (2010).

[CrossRef]

T. A. Klar, A. V. Kildishev, V. P. Drachev, and V. M. Shalaev, “Negative-index metamaterials: going optical,” IEEE J. Sel. Top. Quantum Electron. 12, 1106–1115 (2006).

[CrossRef]

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).

[CrossRef]

F. Bilotti and L. Sevgi, “Metamaterials: definitions, properties, applications, and FDTD-based modeling and simulation (invited paper),” Int. J. RF Microwave Computer-Aided Eng. 22, 422–438 (2012).

[CrossRef]

D. R. Smith and J. B. Pendry, “Homogenization of metamaterials by field averaging,” J. Opt. Soc. Am. 23, 391–403 (2006).

[CrossRef]

N. I. Zheludev and Y. S. Kivshar, “From metamaterials to metadevices,” Nat. Mater. 11, 917–924 (2012).

[CrossRef]

W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, “Optical cloaking with metamaterials,” Nat. Photonics 1, 224–227 (2007).

[CrossRef]

V. M. Shalaev, “Optical negative-index metamaterials,” Nat. Photonics 1, 41–47 (2007).

[CrossRef]

S. Xiao, V. P. Drachev, A. V. Kildishev, X. Ni, U. K. Chettiar, H.-K. Yuan, and V. M. Shalaev, “Loss-free and active optical negative-index metamaterials,” Nature 466, 735–738 (2010).

[CrossRef]

V. A. Podolskiy and E. E. Narimanov, “Near-sighted superlens,” Opt. Lett. 30, 75–77 (2005).

[CrossRef]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, “Negative index of refraction in optical metamaterials,” Opt. Lett. 30, 3356–3358 (2005).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, A. I. Maimistov, and V. M. Shalaev, “Effect of an optical negative index thin film on optical bistability,” Opt. Lett. 32, 151–153 (2007).

[CrossRef]

A. I. Maimistov and Y. M. Sklyarov, “Coherent interaction of light pulses with a three-level medium,” Opt. Spectrosc. 59, 459–461 (1985).

A. I. Maimistov, I. R. Gabitov, and E. V. Kazantseva, “Quadratic solitons in negative refractive index medium,” Opt. Spectrosc. 102, 90–97 (2007).

[CrossRef]

A. Maimistov, I. Gabitov, and N. Litchinitser, “Solitary waves in nonlinear oppositely directed coupler,” Opt. Spectrosc. 104, 253–257 (2008).

[CrossRef]

M. J. Konopnicki and J. H. Eberly, “Simultaneous propagation of short different-wavelength optical pulses,” Phys. Rev. A 24, 2567–2583 (1981).

[CrossRef]

V. A. Podolskiy and E. E. Narimanov, “Strongly anisotropic waveguide as a nonmagnetic left-handed system,” Phys. Rev. B 71, 201101 (2005).

[CrossRef]

L. Panina, A. N. Grigorenko, and D. P. Makhnovskiy, “Optomagnetic composite medium with conducting nanoelements,” Phys. Rev. B 66, 155411 (2002).

[CrossRef]

V. M. Agranovich, Y. R. Shen, R. H. Baughman, and A. A. Zakhidov, “Linear and nonlinear wave propagation in negative refraction metamaterials,” Phys. Rev. B 69, 165112 (2004).

I. V. Shadrivov, A. A. Sukhorukov, Y. S. Kivshar, A. A. Zharov, A. D. Boardman, and P. Egan, “Nonlinear surface waves in left-handed materials,” Phys. Rev. E 69, 016617 (2004).

[CrossRef]

P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).

[CrossRef]

N. Lazarides, and G. P. Tsironis, “Coupled nonlinear Schrodinger field equations for electromagnetic wave propagation in nonlinear left-handed materials,” Phys. Rev. E 71, 036614 (2005).

[CrossRef]

T. G. Mackay and A. Lakhtakia, “Plane waves with negative phase velocity in Faraday chiral mediums,” Phys. Rev. E 69, 026602 (2004).

[CrossRef]

R. W. Ziolkowski and E. Heyman, “Wave propagation in media having negative permittivity and permeability,” Phys. Rev. E 64, 056625 (2001).

[CrossRef]

J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett 85, 3966–3969 (2000).

[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, “Demonstration of near-infrared negative-index materials,” Phys. Rev. Lett. 95, 137404 (2005).

[CrossRef]

N. M. Litchinitser, I. R. Gabitov, and A. I. Maimistov, “Optical bistability in a nonlinear optical coupler with a negative index channel,” Phys. Rev. Lett. 99, 113902 (2007).

[CrossRef]

A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, “Nonlinear properties of left-handed metamaterials,” Phys. Rev. Lett. 91, 037401 (2003).

[CrossRef]

M. Scalora, M. Syrchin, N. Akozbek, E. Poliakov, G. D’Aguanno, N. Mattiucci, M. Bloemer, and A. Zheltikov, “Generalized nonlinear Schrodinger equation for dispersive susceptibility and permeability: applications to negative index materials,” Phys. Rev. Lett. 95, 013902 (2005).

[CrossRef]

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).

[CrossRef]

J. A. Byrne, I. R. Gabitov, and G. Kovačič, “Polarization switching of light interacting with a degenerate two-level optical medium,” Physica D 186, 69–92 (2003).

[CrossRef]

G. V. Naik, J. Liu, A. V. Kildishev, V. M. Shalaev, and A. Boltasseva, “Demonstration of Al:ZnO as a plasmonic component for near-infrared metamaterials,” Proc. Nat. Acad. Sci. 109, 8834–8838 (2012).

J. B. Pendry, “A chiral route to negative refraction,” Science 306, 1353–1355 (2004).

[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).

[CrossRef]

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index,” Science 305, 788–792 (2004).

[CrossRef]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, “Metamaterial electromagnetic cloak at microwave frequencies,” Science 314, 977–980 (2006).

[CrossRef]

V. G. Veselago, “Properties of materials having simultaneously negative values of dielectric (ξ) and magnetic (μ) susceptibilities,” Sov. Phys. Solid State 8, 2854 (1967).

V. G. Veselago, “Electrodynamics of substances with simultaneously negative values of sigma and mu,” Sov. Phys. Usp. 10, 509–514 (1968).

[CrossRef]

L. I. Mandelshtam, “Group velocity in crystalline arrays,” Zh. Eksp. Teor. Fiz. 15, 475–478 (1945).

C. Cohen-Tannoudji, B. Diu, and F. Laloe, Quantum Mechanics (Wiley, 1977).

L. Allen and J. H. Eberly, Optical Resonance and Two-Level Atoms (Dover, 1987).

K. A. Newhall, “Three level atom interaction with external electric field,” (2007) (paper in preparation).