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Optimization of Wave Detuning during Effective Second Harmonic Generation

Abstract

Second harmonic generation (SHG) in a nonlinear uniaxial crystal is theoretically studied. The main attention is paid to the estimation of the wave detuning effect on the SHG efficiency. The results presented confirm a strong dependence of the optimal value of wave detuning on the laser radiation power and a way of radiation focusing into a nonlinear crystal. A quite rapid algorithm is suggested for the numerical solution of the problem of wave detuning optimization. The applicability of this algorithm to the analysis of highly efficient SHG is shown, including situations where the nonlinear conversion efficiency attains its maximum.

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REFERENCES

  1. 1

    V. G. Dmitriev and L. V. Tarasov, Applied and Experimental 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].

    MATH  Google 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).

    ADS  Article  Google Scholar 

  4. 4

    V. O. Troitskii, “Generation peculiarities of the second harmonics laser radiation at synchronism angles close to 90,” Atmos. Ocean. Opt. 24 (1), 102–108 (2011).

    Article  Google Scholar 

  5. 5

    V. O. Troitskii, ”Second harmonic generation of laser radiation in uniaxial crystals. Alternate problem solutions in the assumed field approximation,” Atmos. Ocean. Opt. 23 (4), 278–283 (2010).

    Article  Google Scholar 

  6. 6

    V. O. Troitskii, “Some problems of optimum focusing in the process of second harmonic generation in nonlinear crystals. Part 1. Mathematical apparatus,” Atmo-s. Ocean. Opt. 29 (2), 191–198 (2016).

    Article  Google Scholar 

  7. 7

    V. V. Kolosov and V. O. Troitskii, “Optimal beam focusing at the second harmonic generation in an uniaxial crystal. Approximation of a preset field,” Atmos. Ocean. Opt. 20 (2), 94–100 (2007).

    Google Scholar 

  8. 8

    V. V. Kolosov and V. O. Troitskii, “Paraxial approximation for the problem of light beam propagation through a planar-cross stratified medium,” Atmos. Ocean. Opt. 18 (9), 674–679 (2005).

    Google Scholar 

  9. 9

    K. Kato, “Second harmonic generation to 2048 A in β  − BaB2O4,” IEEE J. Quantum Electron. QE-22 (7), 1013–1014 (1986).

    ADS  Article  Google Scholar 

  10. 10

    V. V. Kolosov and V. O. Troitskii, “Approximate technique for solution of the problem on second harmonic generation in nonlinear crystals. Part 2,” Atmos. Ocean. Opt. 33 (3), 312–319 (2020).

  11. 11

    V. V. Kolosov and V. O. Troitskii, “Approximate technique for solution of the problem on second harmonic generation in nonlinear crystals. Part 1,” Atmos. Ocean. Opt. 33 (3), 302–311 (2020).

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Correspondence to V. O. Troitskii.

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Translated by O. Ponomareva

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Troitskii, V.O. Optimization of Wave Detuning during Effective Second Harmonic Generation. Atmos Ocean Opt 33, 238–244 (2020). https://doi.org/10.1134/S1024856020030124

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Keywords:

  • second harmonic generation
  • high density of laser radiation power
  • numerical methods
  • optimization of wave detuning