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Atmospheric and Oceanic Optics

, Volume 23, Issue 4, pp 278–283 | Cite as

Second harmonic generation of laser radiation in uniaxial crystals. Alternate problem solutions in the assumed field approximation

  • V. O. Troitskii
Nonlinear Optical Phenomena in the Atmosphere and Ocean

Abstract

General questions of the theory of the second harmonic generation of laser radiation in uniaxial crystals are discussed. The derivation of the integral equations determining the form of the interacting fields on an observation plane situated at an arbitrary distance behind the crystal is presented. It is suggested to solve these equations with boundary conditions specified on the same observation plane. It is shown that such a nontraditional choice of the plane of the specification of the boundary conditions allows for a significant simplification of the sought-after second harmonic field representation in the assumed field approximation.

Keywords

Gaussian Beam Second Harmonic Generation Harmonic Generation Second Harmonic Uniaxial Crystal 
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References

  1. 1.
    V. G. Dmitriev and L. V. Tarasov, Applied Nonlinear Optics (Fizmatlit, Moscow, 2004) [in Russian].Google Scholar
  2. 2.
    M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Wave Theory (Nauka, Moscow, 1990) [in Russian].zbMATHGoogle Scholar
  3. 3.
    G. D. Boyd and D. A. Kleinman, “Parametric Interaction of Focused Gaussian Light Beams,” J. Appl. Phys. 39(8), 3597–3639 (1968).CrossRefADSGoogle Scholar
  4. 4.
    V. O. Troitskii, “SHG during Beam Focusing into Uniaxial Crystal by Crossed Cylindrical Lenses,” Opt. Atmosf. Okeana 19(8), 741–747 (2006).Google Scholar
  5. 5.
    V. V. Kolosov and V. O. Troitskii, “Optimal Beam Focusing during SHG in Uniaxial Crystal,” Opt. Atmosf. Okeana 20(2), 106–113 (2007).Google Scholar
  6. 6.
    S. D. Tvorogov and V. O. Troitskii, “Exact and Approximate Representations for a Laser Beam in a Uniaxial Homogeneous Medium,” Opt. Atmosf. Okeana 18(19), 744–753 (2005).Google Scholar
  7. 7.
    V. V. Kolosov and V. O. Troitskii, “Paraxial Approximation for the Problem of Light Beam Propagation through a Planar-Cross Stratified Medium,” Opt. Atmosf. Okeana 18(9), 754–759 (2005).Google Scholar
  8. 8.
    V. O. Troitskii, “Scalar Approximation for the SHG in the Uniaxial Crystal,” Opt. Atmosf. Okeana 20(9), 810–821 (2007).Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2010

Authors and Affiliations

  • V. O. Troitskii
    • 1
  1. 1.Zuev Institute of Atmospheric Optics, Siberian BranchRussian Academy of SciencesTomskRussia

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