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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 8, Iss. 5 — May. 1, 1991
  • pp: 1013–1022

Second-harmonic generation in an optical medium with second- and third-order nonlinear susceptibilities

Wonha Choe, Partha P. Banerjee, and Frank C. Caimi  »View Author Affiliations


JOSA B, Vol. 8, Issue 5, pp. 1013-1022 (1991)
http://dx.doi.org/10.1364/JOSAB.8.001013


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Abstract

Second-harmonic generation (SHG) is investigated for a dispersive medium with quadratic and cubic nonlinearities. All possible solutions assuming a zero initial value for the second harmonic are obtained and tabulated. Based on the analysis, the optimal condition for SHG is deduced and the dependence of the SHG conversion efficiency upon the nonlinearity, the dispersion, and the input field intensity is discussed. Also, a thorough numerical study of the behavior of SHG efficiency is performed and the results are reported. A technique for estimation of the unknown third-order nonlinearity coefficients of a material from SHG observation is proposed.

© 1991 Optical Society of America

History
Original Manuscript: April 24, 1990
Manuscript Accepted: December 4, 1990
Published: May 1, 1991

Citation
Wonha Choe, Partha P. Banerjee, and Frank C. Caimi, "Second-harmonic generation in an optical medium with second- and third-order nonlinear susceptibilities," J. Opt. Soc. Am. B 8, 1013-1022 (1991)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-8-5-1013


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References

  1. P. A. Franken, A. E. Hill, C. W. Peters, G. W. Weinreigh, “Generation of optical harmonics,” Phys. Rev. Lett. 7, 118–119 (1961). [CrossRef]
  2. J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962). [CrossRef]
  3. P. D. Maker, R. W. Terhune, “Study of optical effects due to an induced polarization third order in the electric field strength,” Phys. Rev. 137, A801–A818 (1965). [CrossRef]
  4. G. D. Boyd, D. A. Kleinman, “Parametric interaction of focused Gaussian light beams,” J. Appl. Phys. 39, 3597–3639 (1968). [CrossRef]
  5. M. M. T. Loy, Y. R. Shen, “Small-scale filaments in liquids and tracks of moving foci,” Phys. Rev. Lett. 22, 994–997 (1969). [CrossRef]
  6. Y. R. Shen, “Self-focusing: experimental,” Prog. Quantum Electron. 4, 1–34 (1975). [CrossRef]
  7. J. H. Marburger, “Self-focusing: theory,” Prog. Quantum Electron. 4, 35–110 (1975). [CrossRef]
  8. S. A. Magnitskii, V. I. Pryalkin, V. G. Tunkin, A. I. Kholodnykh, “Influence of optical inhomogeneity on the parametric amplification of picosecond light pulses in lithium niobate crystals,” Sov. J. Quantum Electron. 12, 900–903 (1982). [CrossRef]
  9. R. S. Adhav, R. W. Wallace, “Second harmonic generation in 90° phase-matched KDP isomorphs,” IEEE J. Quantum Electron. QE-9, 855–856 (1973). [CrossRef]
  10. N. C. Kothari, X. Carlotti, “Transient second-harmonic generation: influence of effective group velocity dispersion,” J. Opt. Soc. Am. B 5, 756–764 (1988). [CrossRef]
  11. R. Danelyus, G. Dikchyus, V. Kabelka, A. Piskarskas, A. Stabinis, Ya. Yasevichyute, “Parametric excitation of light in the picosecond range,” Sov. J. Quantum Electron. 7, 1360–1368 (1977). [CrossRef]
  12. R. Yu. Orlov, I. B. Skidan, L. S. Telegin, “Investigation of breakdown produced in dielectrics by ultrashort laser pulses,” Sov. Phys. JETP 34, 418–421 (1972).
  13. S. A. Akhmanov, R. V. Khokhlov, Nonlinear Optics (Gordon & Breach, New York, 1972).
  14. D. J. Harter, D. C. Brown, “Effects of higher order nonlinearities on second-order frequency mixing,” IEEE J. Quantum Electron. QE-18, 1146–1151 (1982). [CrossRef]
  15. L. S. Telegin, A. S. Chirkin, “Interaction in frequency doubling of ultrashort laser pulses,” Sov. J. Quantum Electron. 12, 1354–1356 (1982). [CrossRef]
  16. T. B. Razumikhina, L. S. Telegin, A. I. Kholodnykh, A. S. Chirkin, “Three-frequency interactions of high-intensity light waves in media with quadratic and cubic nonlinearities,” Sov. J. Quantum Electron. 14, 1358–1363 (1984). [CrossRef]
  17. F. Zernike, J. E. Midwinter, Applied Nonlinear Optics (Wiley, New York, 1973), Chap. 3.
  18. R. S. Craxton, “High efficiency frequency tripling schemes for high-power Nd:glass lasers,” IEEE J. Quantum Electron. QE-17, 1771–1782 (1981), App. I. [CrossRef]
  19. A. Yariv, P. Yeh, Optical Waves in Crystals (Wiley, New York, 1984), Chap. 12.
  20. Y. R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984), Chaps. 1–3, 6, 7.
  21. G. P. Agrawal, Nonlinear Fiber Optics (Academic, New York, 1989), Chap. 2.
  22. V. I. Karpman, Nonlinear Waves in Dispersive Media (Pergamon, Oxford, 1975), Chap. 5.
  23. A. Abramowitz, I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
  24. I. S. Gradshteyn, I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965).
  25. E. W. Van Stryland, W. E. Williams, M. J. Soileau, A. L. Smirl, “Laser induced damage, nonlinear absorption, and doubling efficiency of LiIO3,” IEEE J. Quantum Electron. QE-20, 434–439 (1984). [CrossRef]
  26. C. J. McKinstrie, G. G. Luther, S. H. Batha, “Signal enhancement in collinear four-wave mixing,” J. Opt. Soc. Am. B 7, 340–344 (1990). [CrossRef]
  27. Y. Chen, A. W. Snyder, “Four-photon parametric mixing in optical fibers: effect of pump depletion,” Opt. Lett. 14, 87–89 (1989). [CrossRef] [PubMed]
  28. Y. Chen, “Four-wave mixing in optical fibers: exact solution,” J. Opt. Soc. Am. B 6, 1986–1993 (1989). [CrossRef]

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