OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 15, Iss. 3 — Mar. 1, 1998
  • pp: 1030–1041

Second-harmonic generation in multilayered devices: theoretical tools

Stefan Enoch and Hassan Akhouayri  »View Author Affiliations


JOSA B, Vol. 15, Issue 3, pp. 1030-1041 (1998)
http://dx.doi.org/10.1364/JOSAB.15.001030


View Full Text Article

Enhanced HTML    Acrobat PDF (342 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present theoretical aspects of the study of nonlinear multilayered dielectric devices. Starting from Maxwell’s equations, we write the propagation equations for the pump and the harmonic fields without any approximation. We show that we can consider the two fundamental cases of TE and TM polarization. Using a suitable transfer matrix formalism, we solve the propagation equations for the undepleted cases for both a plane incident wave and a spatially limited incident beam. The case of a depleted-pump wave is also considered. Numerical simulations are carried out for a prism coupler. They show the limits of each approximation and also emphasize the advantages of multilayered devices for second-harmonic generation. Finally, we show the usefulness of the model compared with experimental results. We concentrate on second-harmonic generation by zinc sulfide thin films.

© 1998 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4360) Nonlinear optics : Nonlinear optics, devices
(230.4170) Optical devices : Multilayers
(240.0310) Optics at surfaces : Thin films
(260.2110) Physical optics : Electromagnetic optics

Citation
Stefan Enoch and Hassan Akhouayri, "Second-harmonic generation in multilayered devices: theoretical tools," J. Opt. Soc. Am. B 15, 1030-1041 (1998)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-15-3-1030


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. C. Amra, “Light scattering from multilayer optics. I. Tools of investigation,” J. Opt. Soc. Am. A 11, 197 (1994). [CrossRef]
  2. C. Amra, “Light scattering from multilayer optics. II. Application to experiment,” J. Opt. Soc. Am. A 11, 211 (1994). [CrossRef]
  3. H. Akhouayri, M. Nevière, P. Vincent, and R. Reinisch, “Second-harmonic generation in a corrugated waveguide,” Nonlinear Opt. 5, 127 (1993).
  4. R. Reinisch, M. Nevière, H. Akhouayri, J. L. Coutaz, D. Maystre, and E. Pic, “Grating enhanced second harmonic generation through electromagnetic resonances,” Opt. Eng. 27, 961 (1988). [CrossRef]
  5. M. Nevière, E. Popov, and R. Reinisch, “Electromagnetic resonances in linear and nonlinear optics: phenomenological study of grating behavior through the pole and zero of the scattering operator,” J. Opt. Soc. Am. A 12, 513 (1995). [CrossRef]
  6. G. Vitrant, R. Reinisch, J. C. Paumier, G. Assanto, and G. I. Stegeman, “Nonlinear prism coupling with nonlocality,” Opt. Lett. 14, 898 (1989). [CrossRef] [PubMed]
  7. E. Popov, M. Nevière, R. Reinisch, J. L. Coutaz, and J. F. Roux, “Grating-enhanced second-harmonic generation in polymer waveguides: role of losses,” Appl. Opt. 34, 3398 (1995). [CrossRef] [PubMed]
  8. D. S. Bethune, “Optical harmonic generation and mixing in multilayer media: analysis using optical transfer matrix techniques,” J. Opt. Soc. Am. B 6, 910 (1989). [CrossRef]
  9. D. S. Bethune, “Optical harmonic generation and mixing in multilayer media: extension of the optical transfer matrix approach to include anisotropic materials,” J. Opt. Soc. Am. B 8, 367 (1991). [CrossRef]
  10. N. Hashizume, M. Ohashi, T. Kondo, and R. Ito, “Optical harmonic generation in multilayered structures: a comprehensive analysis,” J. Opt. Soc. Am. B 12, 1894 (1995). [CrossRef]
  11. J. E. Sipe, “New Green-function formalism for surface optics,” J. Opt. Soc. Am. B 4, 481 (1987). [CrossRef]
  12. R. W. Boyd and J. E. Sipe, “Nonlinear optical susceptibilities of layered composite materials,” J. Opt. Soc. Am. B 11, 297 (1994). [CrossRef]
  13. G. L. Fischer, R. W. Boyd, R. J. Gehr, S. A. Jenekhe, J. A. Osaheni, J. E. Sipe, and L. A. Weller-Brophy, “Enhanced nonlinear optical response of composite materials,” Phys. Rev. Lett. 74, 1871 (1995). [CrossRef] [PubMed]
  14. S. Janz, F. Chatenoud, and R. Normandin, “Quasi-phase-matched second-harmonic generation from asymmetric coupled quantum wells,” Opt. Lett. 19, 622 (1994). [CrossRef] [PubMed]
  15. L. E. Myers, R. C. Eckardt, M. M. Fejer, R. Byer, and W. R. Bosenberg, “Multigrating quasi-phase-matched optical parametric oscillator in periodically poled LiNbO3,” Opt. Lett. 21, 591 (1996). [CrossRef] [PubMed]
  16. Y. Beaulieu, S. Janz, H. Dai, E. Frlan, C. Fernando, A. Dela⁁ge, P. Van Der Meer, M. Dion, and R. Normandin, “Surface emitted harmonic generation for sensor and display applications,” J. Nonlinear Opt. Phys. Mater. 4, 893 (1995). [CrossRef]
  17. A. Fiore, V. Berger, E. Rosencher, N. Laurent, S. Theilmann, N. Vodjdani, and J. Nagle, “Huge birefringence in selectively oxidized GaAs/AlAs optical waveguides,” Appl. Phys. Lett. 68, 1320 (1996). [CrossRef]
  18. A. Fiore, E. Rosencher, V. Berger, and J. Nagle, “Electric field induced interband second harmonic generation in GaAs/AlGaAs quantum wells,” Appl. Phys. Lett. 67, 3765 (1995). [CrossRef]
  19. H. C. Chui, G. L. Woods, M. M. Fejer, E. L. Martinet, and J. S. Harris, Jr., “Tunable mid-infrared generation by difference frequency mixing of diode laser wavelengths in the intersubband InGaAs/AlAs quantum wells,” Appl. Phys. Lett. 66, 265 (1995). [CrossRef]
  20. M. Nevière, “The homogeneous problem,” in Electromagnetic Theory of Gratings, R. Petit, ed. (Springer-Verlag, New York, 1980), pp. 123–157.
  21. R. Petit and M. Cadilhac, “Theorie électromagnetique du coupleur a prisme,” J. Opt. (Paris) 8, 41 (1977). [CrossRef]
  22. P. D. Maker, R. W. Terhune, M. Nisenoff, and C. M. Savage, “Effect of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21 (1962). [CrossRef]
  23. G. Vitrant, “Third order nonlinear integrated optical resonators,” in Guided Wave Nonlinear Optics, D. B. Ostrowsky and R. Reinisch, eds. (Kluwer, Dordrecht, The Netherlands, 1992), pp. 285–303.
  24. W. N. Herman and L. M. Hayden, “Maker fringes: second-harmonic generation from birefringent or absorbing materials,” J. Opt. Soc. Am. B 12, 416 (1995). [CrossRef]
  25. F. Kajzar, “Organic molecules for guided wave quadratic and cubic optics,” in Guided Wave Nonlinear Optics, D. B. Ostrowsky and R. Reinisch, eds. (Kluwer, Dordrecht, The Netherlands, 1992), pp. 87–111.
  26. R. Reinisch, E. Popov, and M. Nevière, “Second-harmonic-generation-induced optical bistability in prism or grating couplers,” Opt. Lett. 20, 854 (1995). [CrossRef] [PubMed]
  27. S. Enoch and H. Akhouayri, “Bistable prism coupler with both second- and third-order nonlinearities,” J. Opt. Soc. Am. B 14, 588 (1997). [CrossRef]
  28. P. D. Maker, R. W. Terhune, M. Nisenoff, and C. M. Savage, “Effects of dispersion and focusing on the production of optical harmonics,” Phys. Rev. Lett. 8, 21 (1962). [CrossRef]
  29. F. Kazjar, “Organic molecules for guided wave quadratic and cubic optic,” in Guided Wave Nonlinear Optics, D. B. Ostrowsky and R. Reinisch, eds. (Kluwer, Dordrecht, The Netherlands, 1992), pp. 87–112.
  30. S. Enoch and H. Akhouayri, “Second-harmonic specular and scattered generated light: application to the experimental study of zinc sulfide thin films,” Appl. Opt. 36, 6319 (1997). [CrossRef]
  31. S. Enoch, “Theoretical an experimental study of second harmonic generation by optical thin films: multidielectric devices, prism and grating couplers,” Ph.D. dissertation (Université d’Aix Marseille III, Marseille, France, June 1997).
  32. The asymmetry that appears in the responses (Figs. 11 and 12) is due to the noncoincidence of the direction of polarization of the incident pump with that of the in-plane axis of the χ2 tensor that describes the thin film. This behavior is described in more detail in Ref. 30.

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited