Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 136 > pp. 269-282


By J. Guo, Y. Xiang, X. Dai, and S. Wen

Full Article PDF (482 KB)

We numerically analyze the optical response and nonlinear susceptibilities of fishnet metamaterials with the holes infiltrated by a third-order nonlinear dielectric. Through full-wave simulations and by employing a nonlinear parameter retrieval method, we confirm and quantify the enhanced nonlinearities, showing bulk third-order nonlinear susceptibilities that are up to two orders of magnitude larger than the nonlinear dielectric. We also use the retrieved parameters to calculate the material figure of merits and the conversion efficiencies, showing material figure of merits up to two orders of magnitude larger and conversion efficiencies up to four orders of magnitude larger than the nonlinear dielectric alone. Though these results are calculated using one-unit-cell thick structures, the large magnitude of the enhancement still makes these structures attractive, allowing reasonable conversion efficiencies supported by even subwavelength slabs.

J. Guo, Y. Xiang, X. Dai, and S. Wen, "Enhanced Nonlinearities in Double-Fishnet Negative-Index Photonic Metamaterials," Progress In Electromagnetics Research, Vol. 136, 269-282, 2013.

1. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, No. 1780, 1780-1782, 2006.

2. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity ," Phys. Rev. Lett., Vol. 84, No. 18, 4184-4187, 2000.

3. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, No. 5514, 77-79, 2001.

4. Schurig, D., 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, Vol. 314, No. 5801, 977-980, 2006.

5. Shao, J., H. Zhang, Y. Lin, and H. Xin, "Dual-frequency electromagnetic cloaks enabled by LC-based metamaterial circuits," Progress In Electromagnetics Research, Vol. 119, 225-237, 2011.

6. Shalaev, V. M., "Optical negative-index metamaterials," Nature Photon., Vol. 1, 41-48, 2006.

7. Soukoulis, C. M., S. Linden, and M.Wegener, "Negative refractive index at optical wavelengths," Science, Vol. 315, 47-49, 2007.

8. Busch, K., G. von Freymann, S. Linden, S. Mingaleev, L. Tkeshelashvili, and M. Wegener, "Periodic nanostructures for photonics," Phys. Rep., Vol. 444, No. 3, 101-202, 2007.

9. Oraizi, H., A. Abdolali, and N. Vaseghi, "Application of double zero metamaterials as radar absorbing materials for the reduction of radar cross section ," Progress In Electromagnetics Research, Vol. 101, 323-337, 2010.

10. Duan, Z., Y. Wang, X. Mao, W.-X. Wang, and M. Chen, "Experimental demonstration of double-negative metamaterials partially filled in a circular waveguide," Progress In Electromagnetics Research, Vol. 121, 215-224, 2011.

11. Li, J., F.-Q. Yang, and J. Dong, "Design and simulation of L-shaped chiral negative refractive index structure," Progress In Electromagnetics Research, Vol. 116, 395-408, 2011.

12. Canto, J. R., C. R. Paiva, and A. M. Barbosa, "Dispersion and losses in surface waveguides containing double negative or chiral metamaterials," Progress In Electromagnetics Research, Vol. 116, 409-423, 2011.

13. Zhang, S., W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett., Vol. 95, 137404, 2005.

14. Dolling, G., C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Low-loss negative-index metamaterial at telecommunication wavelengths," Opt. Lett., Vol. 31, No. 12, 1800-1802, 2006.

15. Chettiar, U. K., A. V. Kildishev, H.-K. Yuan, W. Cai, S. Xiao, V. P. Drachev, and V. M. Shalaev, "Dual-band negative index metamaterial: Double negative at 813nm and single negative at 772 nm," Opt. Lett., Vol. 32, No. 12, 1671-1673, 2007.

16. Li, T., J.-Q. Li, F.-M. Wang, Q.-J. Wang, H. Liu, S.-N. Zhu, and Y.-Y. Zhu, "Exploring magnetic plasmon polaritons in optical transmission through hole arrays perforated in trilayer structures," Appl. Phys. Lett., Vol. 90, No. 25, 251112, 2007.

17. Valentine, J., S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, "Three-dimensional optical metamaterial with a negative refractive index," Nature, Vol. 455, 376-379, 2008.

18. Minovich, A., D. N. Neshev, D. A. Powell, I. V. Shadrivov, M. Lapine, H. T. Hattori, H. H. Tan, C. Jagadish, and Yu. S. Kivshar, "Tilted response of fishnet metamaterials at near-infrared optical wavelengths ," Phys. Rev. B,, Vol. 81, No. 11, 115109, 2010.

19. Dolling, G., M. Wegener, C. M. Soukoulis, and S. Linden, "Design-related losses of double-fishnet negative-index photonic metamaterials," Opt. Express, Vol. 15, No. 18, 11536-11538, 2007.

20. Ku, Z. and S. R. J. Brueck, "Comparison of negative refractive index materials with circular, elliptical and rectangular holes," Opt. Express, Vol. 15, No. 8, 4515-4522, 2007.

21. Zhang, S., W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Near-infrared double negative metamaterials," Opt. Express, Vol. 13, No. 12, 4922-4930, 2005.

22. Minovich, A., D. N. Neshev, D. A. Powell, and I. V. Shadrivov, "Tunable fishnet metamaterials infiltrated by liquid crystals," Appl. Phys. Lett., Vol. 96, No. 19, 193103, 2010.

23. Wang, X., D.-H. Kwon, D. H.Werner, I.-C. Khoo, A. V. Kildishev, and V. M. Shalaev, "Tunable optical negative-index metamaterials employing anisotropic liquid crystals," Appl. Phys. Lett., Vol. 91, No. 14, 143122, 2007.

24. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory, Vol. 47, No. 11, 2075-2084, 1999.

25. Zharov, A. A., I. V. Shadrivov, and Y. S. Kivshar, "Nonlinear properties of left-handed metamaterials," Phys. Rev. Lett., Vol. 91, No. 3, 037401, 2003.

26. Klein, M. W., C. Enkrich, M. Wegener, and S. Linden, "Second-harmonic generation from magnetic metamaterials," Science, Vol. 313, No. 5786, 502-504, 2006.

27. Shadrivov, I. V., A. B. Kozyrev, D. W. van der Weide, and Y. S. Kivshar, "Tunable transmission and harmonic generation in nonlinear metamaterials," Appl. Phys. Lett., Vol. 93, No. 16, 161903, 2008.

28. Popov, A. and V. Shalaev, "Negative-index metamaterials: Second-harmonic generation, Manley-Rowe relations and parametric amplification," Appl. Phys. B, Vol. 84, No. 1, 131-137, 2006.

29. Poutrina, E., S. Larouche, and D. R. Smith, "Parametric oscillator based on a single-layer resonant metamaterial," Opt. Commun., Vol. 283, No. 8, 1640-1646, 2010.

30. Powell, D. A., I. V. Shadrivov, Y. S. Kivshar, and M. V. Gorkunov, "Self-tuning mechanisms of nonlinear split-ring resonators," Appl. Phys. Lett., Vol. 91, No. 14, 144107, 2007.

31. Shadrivov, I. V., A. B. Kozyrev, D. W. van der Weide, and Y. S. Kivshar, "Nonlinear magnetic metamaterials," Opt. Express, Vol. 16, No. 25, 20266-20271, 2008.

32. Rose, A., D. Huang, and D. R. Smith, "Controlling the second harmonic in a phase-matched negative-index metamaterial," Phys. Rev. Lett., Vol. 107, No. 6, 063902, 2011.

33. Larouche, S. and D. R. Smith, "A retrieval method for nonlinear metamaterials," Opt. Commun., Vol. 283, No. 8, 1621-1627, 2010.

34. Rose, A., S. Larouche, D. Huang, E. Poutrina, and D. R. Smith, "Nonlinear parameter retrieval from three-and four-wave mixing in metamaterials," Phys. Rev. E, Vol. 82, No. 3, 036608, 2010.

35. Rose, A., S. Larouche, and D. R. Smith, "Quantitative study of the enhancement of bulk nonlinearities in metamaterials," Phys. Rev. A, Vol. 84, No. 5, 053805, 2011.

36. Smith, D. R., S. Schultz, P. Markos, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from re┬░ection and transmission coefficients," Phys. Rev. B, Vol. 65, No. 19, 195104, 2002.

37. Smith, D. R., D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamate rials," Phys. Rev. E, Vol. 71, No. 3, 036617, 2005.

© Copyright 2014 EMW Publishing. All Rights Reserved