Overcoming phase mismatch in nonlinear metamaterials [Invited]

Optical Materials Express

Volumn 1, Issue 7, 2011, Pages 1232-1243

  Rose, Alec ^a   Smith, David R ^a  

^a Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANOMALOUS DISPERSION; CONVENTIONAL TECHNIQUES; COUNTERPROPAGATING; INTERACTING WAVES; LINEAR PROPERTIES; NATURAL MATERIALS; NEGATIVE-INDEX; NON-LINEAR OPTICAL; PARAMETRIC PROCESS; PHASE MISMATCH; QUASI PHASE MATCHING; STRONG DEMAND; STRONG DISPERSION;

DISPERSION (WAVES); MIRRORS; MIXING; NONLINEAR OPTICS; OPTICAL PARAMETRIC OSCILLATORS; PHASE MATCHING; METAMATERIALS;

METAMATERIALS; NONLINEAR OPTICS;

EID: 80155142433     PISSN: None     EISSN: 21593930     Source Type: Journal    
DOI: 10.1364/OME.1.001232     Document Type: Article

References (50)

1. P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, "Generation of optical harmonics," Phys. Rev. Lett. 7, 118-119 (1961).
2. V. G. Dmitriev, G. G. Gurzadyan, and D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer, 1997).
3. I. Shoji, T. Kondo, and R. Ito, "Second-order nonlinear susceptibilities of various dielectric and semiconductor materials," Opt. Quantum Electron. 34, 797-833 (2002).
4. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, "Interactions between light waves in a nonlinear dielectric," Phys. Rev. 127, 1918-1939 (1962).
5. P. A. Franken and J. F.Ward, "Optical harmonics and nonlinear phenomena," Rev. Mod. Phys. 35, 23-39 (1963).
6. R. W. Boyd, Nonlinear Optics (Academic Press, 2008).
7. S. E. Harris, "Proposed backward wave oscillation in the infrared," Appl. Phys. Lett. 9, 114-166 (1966).
8. J. G. Meadors, "Steady-state theory of backward-traveling-wave parametric interactions," J. Appl. Phys. 40, 2510-2512 (1969).
9. Y. Ding and J. Khurgin, "Backward optical parametric oscillators and amplifiers," IEEE J. Quantum Electron. 32, 1574-1582 (1996).
10. Y. Ding, J. Kang, and J. Khurgin, "Theory of backward second-harmonic and third-harmonic generation using laser pulses in quasi-phase-matched second-order nonlinear medium," IEEE J. Quantum Electron. 34, 966-974 (1998).
11. C. Conti, G. Assanto, and S. Trillo, "Cavityless oscillation through backward quasi-phase-matched secondharmonic generation," Opt. Lett. 24, 1139-1141 (1999).
12. 3," Opt. Lett. 22, 862-864 (1997).
13. C. Canalias and V. Pasiskevicius, "Mirrorless optical parametric oscillator," Nat. Photonics 1, 459-462 (2007).
14. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
15. 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).
16. A. A. Zharov, I. V. Shadrivov, and Y. S. Kivshar, "Nonlinear properties of left-handed metamaterials," Phys. Rev. Lett. 91, 037401 (2003).
17. M. W. Klein, C. Enkrich, M. Wegener, and S. Linden, "Second-harmonic generation from magnetic metamaterials," Science 313, 502-504 (2006).
18. F. Niesler, N. Feth, S. Linden, J. Niegemann, J. Gieseler, K. Busch, and M. Wegener, "Second-harmonic generation from split-ring resonators on a gaas substrate," Opt. Lett. 34, 1997-1999 (2009).
19. D. Huang, A. Rose, E. Poutrina, S. Larouche, and D. R. Smith, "Wave mixing in nonlinear magnetic metacrystal," Appl. Phys. Lett. 98, 204102 (2011).
20. M. A. Castellanos-Beltran, K. D. Irwin, G. C. Hilton, L. R. Vale, and K.W. Lehnert, "Amplification and squeezing of quantum noise with a tunable josephson metamaterial," Nat. Phys. 4, 929-931 (2008).
21. D. A. Powell, I. V. Shadrivov, Y. S. Kivshar, and M. V. Gorkunov, "Self-tuning mechanisms of nonlinear split-ring resonators," Appl. Phys. Lett. 91, 144107 (2007).
22. D. Huang, E. Poutrina, and D. R. Smith, "Analysis of the power dependent tuning of a varactor-loaded metamaterial at microwave frequencies," Appl. Phys. Lett. 96, 104104 (2010).
23. A. Rose and D. R. Smith, "A quantitative study of the enhancement of bulk nonlinearities in metamaterials," (submitted to Phys. Rev. A).
24. A. Bahabad, M. M. Murnane, and H. C. Kapteyn, "Quasi-phase-matching of momentum and energy in nonlinear optical processes," Nat. Photonics 4, 570-575 (2010).
25. A. Yariv, Quantum Electronics (John Wiley and Sons, 1989).
26. E. Poutrina, D. Huang, and D. R. Smith, "Analysis of nonlinear electromagnetic metamaterials," New J. Phys. 12, 093010 (2010).
27. A. Popov and V. Shalaev, "Negative-index metamaterials: second-harmonic generation, manley-rowe relations and parametric amplification," Appl. Phys. B 84, 131-137 (2006).
28. T. C. Kowalczyk, K. D. Singer, and P. A. Cahill, "Anomalous-dispersion phase-matched second-harmonic generation in a polymer waveguide," Opt. Lett. 20, 2273-2275 (1995).
29. J. B. Pendry, A. J. Holden, D. J. Robbins, andW. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
30. D. R. Smith and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Phys. Rev. Lett. 90, 077405 (2003).
31. M. Choi, S. H. Lee, Y. Kim, S. B. Kang, J. Shin, M. H. Kwak, K.-Y. Kang, Y.-H. Lee, N. Park, and B. Min, "A terahertz metamaterial with unnaturally high refractive index," Nature 470, 366-371 (2011).
32. D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
33. P. B. Johnson, R. W. Christy, "Optical constants of the noble metals," Phys. Rev. B 6, 4370-4379 (1972).
34. A. Rose, S. Larouche, D. Huang, E. Poutrina, and D. R. Smith, "Nonlinear parameter retrieval from three- and four-wave mixing in metamaterials," Phys. Rev. E 82, 036608 (2010).
35. M. Fejer, G. Magel, D. Jundt, and R. Byer, "Quasi-phase-matched second harmonic generation: tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).
36. D. R. Smith, J. J. Mock, A. F. Starr, and D. Schurig, "Gradient index metamaterials," Phys. Rev. E 71, 036609 (2005).
37. A. Rose, D. Huang, and D. R. Smith, "Controlling the second harmonic in a phase-matched negative-index metamaterial," Phys. Rev. Lett. 107, 063902 (2011).
38. H.-T. Chen, W. J. Padilla, J. M. O. Zide, A. C. Gossard, A. J. Taylor, and R. D. Averitt, "Active terahertz metamaterial devices," Nature 444, 597-600 (2006).
39. A. Degiron, J. J. Mock, and D. R. Smith, "Modulating and tuning the response of metamaterials at the unit cell level," Opt. Express 15, 1115-1127 (2007).
40. H.-T. Chen, J. F. O'Hara, A. K. Azad, A. J. Taylor, R. D. Averitt, D. B. Shrekenhamer, and W. J. Padilla, "Experimental demonstration of frequency-agile terahertz metamaterials," Nat. Photonics 2, 295-298 (2008).
41. T. Driscoll, H. T. Kim, B. G. Chae, B. J. Kim, Y.W. Lee, N. M. Jokerst, S. Palit, D. R. Smith, M. Di Ventra, D. N. Basov, "Memory metamaterials," Science 325, 1518-1521 (2009).
42. A. Rose and D. R. Smith, "Broadly tunable quasi-phase-matching in nonlinear metamaterials," Phys. Rev. A 84, 013823 (2011).
43. 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).
44. 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).
45. I. V. Shadrivov, A. A. Zharov, and Y. S. Kivshar, "Second-harmonic generation in nonlinear left-handed metamaterials," J. Opt. Soc. Am. B 23, 529-534 (2006).
46. A. K. Popov and V. M. Shalaev, "Compensating losses in negative-index metamaterials by optical parametric amplification," Opt. Lett. 31, 2169-2171 (2006).
47. N. M. Litchinitser and V. Shalaev, "Metamaterials: Loss as a route to transparency," Nat. Photonics 3, 75 (2009).
48. R.W. Ziolkowski, "Propagation in and scattering from a matched metamaterial having a zero index of refraction," Phys. Rev. E 70, 046608 (2004).
49. M. Silveirinha, N. Engheta, "Tunneling of electromagnetic energy through subwavelength channels and bends using ε -near-zero materials," Phys. Rev. Lett. 97, 157403 (2006).
50. M. A. Vincenti, D. de Ceglia, A. Ciattoni, and M. Scalora, "Singularity-driven second and third harmonic generation in a ε -near-zero nanolayer," arXiv:1107.2354 (2011).