Boundary element method for surface nonlinear optics of nanoparticles

Optics Express

Volumn 19, Issue 23, 2011, Pages 23386-23399

  Mäkitalo, Jouni ^a   Suuriniemi, Saku ^a   Kauranen, Martti ^a  

^a TAMPERE UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; NANOPARTICLES; NONLINEAR OPTICS; SURFACES;

AB INITIO; ARBITRARY SHAPE; BOUNDARY ELEMENT FORMULATIONS; FAR FIELD; FREQUENCY DOMAINS; GALERKIN; GOLD NANOPARTICLES; L-SHAPED; MULTIPOLE EXPANSIONS; NON-CENTROSYMMETRIC; NON-LINEAR OPTICAL; NONLINEAR MATERIALS; NONLINEAR POLARIZATIONS; RAO-WILTON-GLISSON BASIS FUNCTIONS; SECOND-HARMONIC RADIATION; SPHERICAL PARTICLE; SURFACE NONLINEAR OPTICS;

BOUNDARY ELEMENT METHOD;

EID: 80755143323     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.19.023386     Document Type: Article

References (46)

1. Y. Shen, "Surface properties probed by second-harmonic and sum-frequency generation," Nature 337, 519-525 (1989).
2. J. E. Sipe, V. Mizrahi, and G. I. Stegeman, "Fundamental difficulty in the use of second-harmonic generation as a strictly surface probe," Phys. Rev. B 35, 9091-9094 (1987).
3. P. Guyot-Sionnest, W. Chen, and Y. Shen, "General considerations on optical second-harmonic generation from surfaces and interfaces," Phys. Rev. B 33, 8254 (1986).
4. F. Wang, F. Rodríguez, W. Albers, R. Ahorinta, J. Sipe, and M. Kauranen, "Surface and bulk contributions to the second-order nonlinear optical response of a gold film," Phys. Rev. B 80, 233402 (2009).
5. K. Kelly, E. Coronado, L. Zhao, and G. Schatz, "The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment," J. Phys. Chem. B 107, 668-677 (2003).
6. H. Husu, J. Mäkitalo, R. Siikanen, G. Genty, H. Pietarinen, J. Lehtolahti, J. Laukkanen, M. Kuittinen, and M. Kauranen, "Spectral control in anisotropic resonance-domain metamaterials," Opt. Lett. 36, 2375-2377 (2011).
7. J. Sipe, "New Green-function formalism for surface optics," J. Opt. Soc. Am. B 4, 481-489 (1987).
8. S. Roke, M. Bonn, and A. Petukhov, "Nonlinear optical scattering: The concept of effective susceptibility," Phys. Rev. B 70, 115106 (2004).
9. A. de Beer, S. Roke, and J. Dadap, "Theory of optical second-harmonic and sum-frequency scattering from arbitrarily shaped particles," J. Opt. Soc. Am. B 28, 1374-1384 (2011).
10. A. de Beer and S. Roke, "Nonlinear Mie theory for second-harmonic and sum-frequency scattering," Phys. Rev. B 79, 155420 (2009).
11. J. Dewitz, W. Hübner, and K. Bennemann, "Theory for nonlinear Mie-scattering from spherical metal clusters," Zeitschrift für Physik D Atoms, Molecules and Clusters 37, 75-84 (1996).
12. Y. Pavlyukh and W. Hübner, "Nonlinear Mie scattering from spherical particles," Phys. Rev. B 70, 245434 (2004).
13. J. Dadap, J. Shan, and T. Heinz, "Theory of optical second-harmonic generation from a sphere of centrosymmetric material: Small-particle limit," J. Opt. Soc. Am. B 21, 1328-1347 (2004).
14. C. Biris and N. Panoiu, "Second harmonic generation in metamaterials based on homogeneous centrosymmetric nanowires," Phys. Rev. B 81, 195102 (2010).
15. C. Biris and N. Panoiu, "Nonlinear pulsed excitation of high-Q optical modes of plasmonic nanocavities," Opt. Express 18, 17165-17179 (2010).
16. C. Biris and N. Panoiu, "Excitation of linear and nonlinear cavity modes upon interaction of femtosecond pulses with arrays of metallic nanowires," Appl. Phys. A pp. 1-5 (2011).
17. L. Cao, N. Panoiu, and R. Osgood Jr, "Surface second-harmonic generation from surface plasmon waves scattered by metallic nanostructures, " Phys. Rev. B 75, 205401 (2007).
18. L. Cao, N. Panoiu, R. Bhat, and R. Osgood Jr, "Surface second-harmonic generation from scattering of surface plasmon polaritons from radially symmetric nanostructures," Phys. Rev. B 79, 235416 (2009).
19. W. Nakagawa, R.-C. Tyan, and Y. Fainman, "Analysis of enhanced second-harmonic generation in periodic nanostructures using modified rigorous coupled-wave analysis in the undepleted-pump approximation," J. Opt. Soc. Am. A 19, 1919-1928 (2002).
20. B. Bai and J. Turunen, "Fourier modal method for the analysis of second-harmonic generation in twodimensionally periodic structures containing anisotropic materials," J. Opt. Soc. Am. B 24, 1105-1112 (2007).
21. T. Paul, C. Rockstuhl, and F. Lederer, "A numerical approach for analyzing higher harmonic generation in multilayer nanostructures," J. Opt. Soc. Am. B 27, 1118-1130 (2010).
22. W. Schaich, "Second harmonic generation by periodically-structured metal surfaces," Phys. Rev. B 78, 195416 (2008).
23. Y. Zeng, W. Hoyer, J. Liu, S. Koch, and J. Moloney, "Classical theory for second-harmonic generation from metallic nanoparticles," Phys. Rev. B 79, 235109 (2009).
24. G. Bachelier, I. Russier-Antoine, E. Benichou, C. Jonin, and P. Brevet, "Multipolar second-harmonic generation in noble metal nanoparticles," J. Opt. Soc. Am. B 25, 955-960 (2008).
25. K. Umashankar, A. Taflove, and S. Rao, "Electromagnetic scattering by arbitrary shaped three-dimensional homogeneous lossy dielectric objects," IEEE Trans. Antennas Propag. 34, 758-766 (1986).
26. J. Aizpurua, P. Hanarp, D. S. Sutherland, M. Käll, G. W. Bryant, and F. J. Garcia de Abajo, "Optical properties of gold nanorings," Phys. Rev. Lett. 90, 57401 (2003).
27. I. Romero, J. Aizpurua, G.W. Bryant, and F. J. G. D. Abajo, "Plasmons in nearly touching metallic nanoparticles: Singular response in the limit of touching dimers," Opt. Express 14, 9988-9999 (2006).
28. G. Bryant, F. de Abajo, and J. Aizpurua, "Mapping the plasmon resonances of metallic nanoantennas," Nano Lett. 8, 631-636 (2008).
29. A. Kern and O. Martin, "Surface integral formulation for 3D simulations of plasmonic and high permittivity nanostructures," J. Opt. Soc. Am. A 26, 732-740 (2009).
30. B. Gallinet and O. Martin, "Scattering on plasmonic nanostructures arrays modeled with a surface integral formulation," Phot. Nano. Fund. Appl. 8, 278-284 (2010).
31. B. Gallinet, A. Kern, and O. Martin, "Accurate and versatile modeling of electromagnetic scattering on periodic nanostructures with a surface integral approach," J. Opt. Soc. Am. A 27, 2261-2271 (2010).
32. A. Benedetti, M. Centini, C. Sibilia, and M. Bertolotti, "Engineering the second harmonic generation pattern from coupled gold nanowires," J. Opt. Soc. Am. B 27, 408-416 (2010).
33. M. Centini, A. Benedetti, C. Sibilia, and M. Bertolotti, "Coupled 2D Ag nano-resonator chains for enhanced and spatially tailored second harmonic generation," Opt. Express 19, 8218-8232 (2011).
34. T. F. Heinz, "Second-order nonlinear optical effects at surfaces and interfaces," in Nonlinear Surface Electromagnetic Phenomena, H.-E. Ponath and G. I. Stegeman (Elsevier, Amsterdam, 1991) p. 353.
35. J. E. Sipe, V. C. Y. So, M. Fukui, and G. I. Stegeman, "Analysis of second-harmonic generation at metal surfaces," Phys. Rev. B 21, 4389 (1980).
36. J. Stratton, Electromagnetic theory (New York and London: McGraw-Hill, 1941).
37. D. Colton and R. Kress, Inverse acoustic and electromagnetic scattering theory, vol. 93 (Springer Verlag, 1998).
38. R. Harrington, Field computation by moment methods (Wiley-IEEE Press, 1993).
39. S. Rao, D. Wilton, and A. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag. 30, 409-418 (1982).
40. I. Hänninen, M. Taskinen, and J. Sarvas, "Singularity subtraction integral formulae for surface integral equations with RWG, rooftop and hybrid basis functions," Prog. Elec. Res. 63, 243-278 (2006).
41. J. Jackson, Classical electrodynamics (John Wiley & Sons inc., 1999).
42. P. Johnson and R. Christy, "Optical constants of the noble metals," Phys. Rev. B 6, 4370 (1972).
43. S. Kujala, B. Canfield, M. Kauranen, Y. Svirko, and J. Turunen, "Multipole interference in the second-harmonic optical radiation from gold nanoparticles," Phys. Rev. Lett. 98, 167403 (2007).
44. H. Husu, J. Mäkitalo, J. Laukkanen, M. Kuittinen, and M. Kauranen, "Particle plasmon resonances in L-shaped gold nanoparticles," Opt. Express 18, 16601-16606 (2010).
45. A. F. Peterson, D. R. Wilton, and R. E. Jorgenson, "Variational nature of Galerkin and non-Galerkin moment method solutions," IEEE Trans. Antennas Propag. 44, 500-503 (1996).
46. L. D. Landau and E. M. Lifshits, The electrodynamics of continuous media (Pergamon, Oxford, 1960).