## Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide

JOSA B, Vol. 19, Issue 9, pp. 2122-2128 (2002)

http://dx.doi.org/10.1364/JOSAB.19.002122

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### Abstract

Nonlinear reflection and diffraction measurements have been performed on a GaAs/AlGaAs photonic-crystal waveguide patterned with a square lattice: The basis in the two-dimensional unit cell consists of rings of air in the dielectric matrix. The measured angles of diffracted second-harmonic beams agree with those predicted for nonlinear diffraction conditions. Results for second-harmonic intensities as a function of incidence angle, polarization, and pump wavelength show that the reflected second-harmonic signal is dominated by the crystalline symmetry of GaAs, whereas nonlinear diffraction is determined by the photonic-crystal structure.

© 2002 Optical Society of America

**OCIS Codes**

(190.2620) Nonlinear optics : Harmonic generation and mixing

(190.4390) Nonlinear optics : Nonlinear optics, integrated optics

(190.4400) Nonlinear optics : Nonlinear optics, materials

(190.4720) Nonlinear optics : Optical nonlinearities of condensed matter

**Citation**

Andrea Marco Malvezzi, Francesco Cattaneo, Gabriele Vecchi, Matteo Falasconi, Giorgio Guizzetti, Lucio Claudio Andreani, Filippo Romanato, Luca Businaro, Enzo Di Fabrizio, Adriana Passaseo, and Massimo De Vittorio, "Second-harmonic generation in reflection and diffraction by a GaAs photonic-crystal waveguide," J. Opt. Soc. Am. B **19**, 2122-2128 (2002)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-9-2122

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### References

- I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21, 1404–1406 (1968).
- R. Reinisch and M. Nevière, “Electromagnetic theory of diffraction in nonlinear optics and surface-enhanced nonlinear optical effects,” Phys. Rev. B 28, 1870–1885 (1983).
- J. L. Coutaz, M. Nevière, E. Pic, and R. Reinisch, “Experi-mental study of surface-enhanced second-harmonic generation on silver gratings,” Phys. Rev. B 32, 2227–2232 (1985).
- M. Nevière, R. Reinisch, and D. Maystre, “Surface-enhanced second-harmonic generation at a silver grating: a numerical study,” Phys. Rev. B 32, 3634–3641 (1985).
- M. Nevière, P. Vincent, D. Maystre, R. Reinisch, and J. Coutaz, “Differential theory for metallic gratings in nonlinear optics. Second-harmonic generation,” J. Opt. Soc. Am. B 5, 330–337 (1988).
- H. J. Simon and Z. Chen, “Optical second-harmonic generation with grating-coupled surface plasmons from a quartz–silver–quartz grating structure,” Phys. Rev. B 39, 3077–3085 (1989).
- X. D. Zhu, Th. Rasing, and Y. R. Shen, “Surface diffusion of CO on Ni(111) studied by diffraction of optical second-harmonic generation off a monolayer grating,” Phys. Rev. Lett. 61, 2883–2885 (1988).
- G. A. Reider, M. Huemer, and A. J. Schmidt, “Surface second harmonic generation spectroscopy without interference of substrate contributions,” Opt. Commun. 68, 149–152 (1988).
- T. Suzuki and T. F. Heinz, “Surface-harmonic diffraction from a monolayer grating,” Opt. Lett. 14, 1201–1203 (1989).
- R. W. J. Hollering, Q. H. F. Vrehen, and G. Marowsky, “Angular dependence of optical second-harmonic generation from a monolayer grating,” Opt. Commun. 78, 387–392 (1990).
- G. A. Reider, U. Höfer, and T. F. Heinz, “Surface diffusion of hydrogen on Si(111)7×7,” Phys. Rev. Lett. 66, 1994–1997 (1991).
- X. Xiao, X. D. Zhu, W. Daum, and Y. R. Shen, “Optical second-harmonic diffraction study of anisotropic surface diffusion: CO on Ni(110),” Phys. Rev. B 46, 9732–9743 (1992).
- A. C. R. Pipino, G. R. Schatz, and R. P. Van Duyne, “Surface-enhanced second-harmonic diffraction: selective enhancement by spatial harmonics,” Phys. Rev. B 49, 8320–8330 (1994).
- A. C. R. Pipino, R. P. Van Duyne, and G. C. Schatz, “Surface-enhanced second-harmonic diffraction: experimental investigation of selective enhancement,” Phys. Rev. B 53, 4162–4169 (1996).
- M. Nevière, E. Popov, and R. Reinisch, “Electromagnetic resonances in linear and nonlinear optics: phenomenological study of grating behavior through the poles and zeros of the scattering operator,” J. Opt. Soc. Am. A 12, 513–523 (1995).
- E. Popov, M. Nevière, G. Blau, and R. Reinisch, “Numerical optimization of grating-enhanced second-harmonic genera-tion in optical waveguides,” J. Opt. Soc. Am. B 12, 2390–2397 (1995).
- V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998).
- N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, “Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal,” Phys. Rev. Lett. 84, 4345–4348 (2000).
- T. F. Krauss, R. M. De La Rue, and S. Brand, “Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths,” Nature 383, 699–702 (1996).
- For recent reviews see, e.g., C. M. Soukoulis, ed., Photonic Crystals and Light Localization in the 21st Century, Vol. 563 of NATO Science Series C: Mathematical and Physical Sciences (Kluwer, Dordrecht, The Netherlands, 2001).
- D. Labilloy, H. Benisty, C. Weisbuch, T. F. Krauss, R. M. De La Rue, V. Bardinal, R. Houdré, U. Oesterle, D. Cassagne, and C. Jouanin, “Quantitative measurement of transmission, reflection, and diffraction of two-dimensional photonic band gap structures at near-infrared wavelengths,” Phys. Rev. Lett. 79, 4147–4150 (1997).
- H. Benisty, C. Weisbuch, D. Labilloy, M. Rattier, C. J. M. Smith, T. F. Krauss, R. M. De La Rue, R. Houdré, U. Oesterle, C. Jouanin, and D. Cassagne, “Optical and confinement properties of two-dimensional photonic crystals,” J. Lightwave Technol. 17, 2063–2077 (1999).
- M. Galli, M. Agio, L. C. Andreani, L. Atzeni, D. Bajoni, G. Guizzeti, L. Businaro, E. D. Fabrizio, F. Romanato, and A. Passaseo, “Optical properties and photonic bands of GaAs photonic crystal waveguides with a tilted square lattice,” Eur. Phys. J. B 27, 79–87 (2002).
- V. N. Astratov, D. M. Whittaker, I. S. Culshaw, R. M. Stevenson, M. S. Skolnick, T. F. Krauss, and R. M. De La Rue, “Photonic band-structure effects in the reflectivity of periodically patterned waveguides,” Phys. Rev. B 60, R16255–R16258 (1999).
- N. Bloembergen and P. S. Pershan, “Light waves at the boundary of nonlinear media,” Phys. Rev. 128, 606–622 (1962).
- J. Ducuing and N. Bloembergen, “Observation of reflected light harmonics at the boundary of piezoelectric crystals,” Phys. Rev. Lett. 10, 474–476 (1963).
- R. K. Chang, J. Ducuing, and N. Bloembergen, “Dispersion of the optical nonlinearity in semiconductors,” Phys. Rev. Lett. 15, 415–418 (1965).

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