Predicting nonlinear properties of metamaterials from the linear response

Nature Materials

Volumn 14, Issue 4, 2015, Pages 379-383

  O'Brien, Kevin ^a   Suchowski, Haim ^a,b   Rho, Junsuk ^a,b   Salandrino, Alessandro ^a   Kante, Boubacar ^a   Yin, Xiaobo ^a,b   Zhang, Xiang ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT SCATTERING; HARMONIC GENERATION; METAMATERIALS; OPTICAL FREQUENCY CONVERSION; OPTICAL PROPERTIES; OSCILLATORS (MECHANICAL); PHASE MATCHING;

LINEAR OPTICAL PROPERTIES; LINEAR SUSCEPTIBILITY; NON-LINEAR OSCILLATORS; NONLINEAR GENERATION; NONLINEAR PROPERTIES; NONLINEAR SUSCEPTIBILITIES; OPTICAL SECOND HARMONIC GENERATION; QUASI PHASE MATCHING;

NONLINEAR OPTICS;

EID: 84925391820     PISSN: 14761122     EISSN: 14764660     Source Type: Journal    
DOI: 10.1038/nmat4214     Document Type: Article

References (30)

1. Franken, P. A., Hill, A. E., Peters, C. W. & Weinreich, G. Generation of optical harmonics. Phys. Rev. Lett. 7, 118-119 (1961).
2. Armstrong, J. A., Bloembergen, N., Ducuing, J. & Pershan, P. S. Interactions between light waves in a nonlinear dielectric. Phys. Rev. 127, 1918-1939 (1962).
3. Bloembergen, N. & Pershan, P. S. Light waves at the boundary of nonlinear media. Phys. Rev. 128, 606-622 (1962).
4. Garrett, C. & Robinson, F. Miller's phenomenological rule for computing nonlinear susceptibilities. IEEE J. Quantum Electron. 2, 328-329 (1966).
5. Miller, R. C. Optical second harmonic generation in piezoelectric crystals. Appl. Phys. Lett. 5, 17-19 (1964).
6. Shalaev, V. M. Optical negative-index metamaterials. Nature Photon. 1, 41-48 (2007).
7. Suchowski, H. et al. Phase mismatch-free nonlinear propagation in optical zero-index materials. Science 342, 1223-1226 (2013).
8. Rose, A., Huang, D. & Smith, D. R. Controlling the second harmonic in a phase-matched negative-index metamaterial. Phys. Rev. Lett. 107, 063902 (2011).
9. Rose, A., Larouche, S., Poutrina, E. & Smith, D. R. Nonlinear magnetoelectric metamaterials: Analysis and homogenization via a microscopic coupled-mode theory. Phys. Rev. A 86, 033816 (2012).
10. Sukhorukov, A. A., Solntsev, A. S., Kruk, S. S., Neshev, D. N. & Kivshar, Y. S. Nonlinear coupled-mode theory for periodic plasmonic waveguides and metamaterials with loss and gain. Opt. Lett. 39, 462-465 (2014).
11. Byer, R. L. Nonlinear optical phenomena and materials. Annu. Rev. Mater. Sci. 4, 147-190 (1974).
12. Scandolo, S. & Bassani, F. Miller's rule and the static limit for second-harmonic generation. Phys. Rev. B 51, 6928-6931 (1995).
13. Bell, M. I. Frequency dependence of Miller's rule for nonlinear susceptibilities. Phys. Rev. B 6, 516-521 (1972).
14. Cataliotti, F. S., Fort, C., Hänsch, T. W., Inguscio, M. & Prevedelli, M. Electromagnetically induced transparency in cold free atoms: Test of a sum rule for nonlinear optics. Phys. Rev. A 56, 2221-2224 (1997).
15. Miles, R. & Harris, S. Optical third-harmonic generation in alkali metal vapors. IEEE J. Quantum Electron. 9, 470-484 (1973).
16. Matranga, C. & Guyot-Sionnest, P. Absolute intensity measurements of the optical second-harmonic response of metals from 0.9 to 2.5 eV. J. Chem. Phys. 115, 9503-9512 (2001).
17. Rapapa, N. P. & Scandolo, S. Universal constraints for the third-harmonic generation susceptibility. J. Phys. Condens. Matter 8, 6997-7004 (1996).
18. Hentschel, M., Utikal, T., Giessen, H. & Lippitz, M. Quantitative modeling of the third harmonic emission spectrum of plasmonic nanoantennas. Nano Lett. 12, 3778-3782 (2012).
19. Metzger, B., Hentschel, M., Lippitz, M. & Giessen, H. Third-harmonic spectroscopy and modeling of the nonlinear response of plasmonic nanoantennas. Opt. Lett. 37, 4741-4743 (2012).
20. Niesler, F. B. P., Feth, N., Linden, S. & Wegener, M. Second-harmonic optical spectroscopy on split-ring-resonator arrays. Opt. Lett. 36, 1533-1535 (2011).
21. Canfield, B. K. et al. Local field asymmetry drives second-harmonic generation in noncentrosymmetric nanodimers. Nano Lett. 7, 1251-1255 (2007).
22. Husu, H. et al. Metamaterials with tailored nonlinear optical response. Nano Lett. 12, 673-677 (2012).
23. Dadap, J. I., Shan, J. & Heinz, T. F. Theory of optical second-harmonic generation from a sphere of centrosymmetric material: Small-particle limit. J. Opt. Soc. Am. B 21, 1328-1347 (2004).
24. Poutrina, E., Huang, D., Urzhumov, Y. & Smith, D. R. Nonlinear oscillator metamaterial model: Numerical and experimental verification. Opt. Express 19, 8312-8319 (2011).
25. Bassani, F. & Lucarini, V. General properties of optical harmonic generation from a simple oscillator model. Nuovo Cimento D 20, 1117-1125 (1998).
26. Lippitz, M., van Dijk, M. A. & Orrit, M. Third-harmonic generation from single gold nanoparticles. Nano Lett. 5, 799-802 (2005).
27. Roke, S., Bonn, M. & Petukhov, A. V. Nonlinear optical scattering: The concept of effective susceptibility. Phys. Rev. B 70, 115106 (2004).
28. Gentile, M. et al. Investigation of the nonlinear optical properties of metamaterials by second harmonic generation. Appl. Phys. B 105, 149-162 (2011).
29. Husnik, M. et al. Quantitative experimental determination of scattering and absorption cross-section spectra of individual optical metallic nanoantennas. Phys. Rev. Lett. 109, 233902 (2012).
30. Castro-Lopez, M., Brinks, D., Sapienza, R. & van Hulst, N. F. Aluminum for nonlinear plasmonics: Resonance-driven polarized luminescence of Al, Ag, and Au nanoantennas. Nano Lett. 11, 4674-4678 (2011).