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Diffraction of Super-Gaussian Beams as Described by the Complex Geometrical Optics

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Radiophysics and Quantum Electronics Aims and scope

Abstract

We apply the method of complex geometrical optics to the description of super-Gaussian beams, i.e., the beams having wave-field amplitude profiles of the form exp[-x4/(4a4)]. It is shown that the complex geometrical optics describes satisfactorily the beam field off the main lobe of its angular pattern while it cannot be used on the beam axis. We propose two ways to eliminate this drawback: spline matching of the side and axial fields and approximation of a super-Gaussian beam by a sum of a few (in this paper, three) Gaussian beams.

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REFERENCES

  1. Yu. A. Kravtsov, Izv. Vysshikh Uchebn. Zaved., Radioz., 10, No. 9–10, 1283 (1967).

    Google Scholar 

  2. J. B. Keller and W. Streifer. J. Opt. Soc. Am., 61, No 1, 40 (1971).

    Google Scholar 

  3. Yu. A. Kravtsov, G. W. Forbes, and A. A. Asatryan, Progr. Opt., 39, 1, (1999).

    Google Scholar 

  4. R. A. Egorchenkov and Yu.A. Kravtsov, Radiophys. Quantum Electron., 43, No. 7, 569 (2000).

    Google Scholar 

  5. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow, (1963).

    Google Scholar 

  6. Yu. A. Kravtsov and A. A. Asatryan, Izv. Vysshikh Uchebn. Zaved., Radiofiz., 31, No. 9, 1053 (1988).

    Google Scholar 

  7. Yu. A. Kravtsov, Progr. Opt., 26, 227 (1988).

    Google Scholar 

  8. M. M. Popov, Wave Motion, 4, 85 (1982).

    Google Scholar 

  9. V. M. Babich and M. M. Popov, Radiophys. Quantum Electron., 32, 1447 (1989).

    Google Scholar 

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Authors and Affiliations

  1. Space Research Institute, Moscow, Russia

    R. A. Egorchenkov

  2. Space Research Institute, Moscow, Russia

    Yu. A. Kravtsov

  3. Space Research Center, Polish Academy of Sciences, Warsaw, Poland

    Yu. A. Kravtsov

Authors
  1. R. A. Egorchenkov
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  2. Yu. A. Kravtsov
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Egorchenkov, R.A., Kravtsov, Y.A. Diffraction of Super-Gaussian Beams as Described by the Complex Geometrical Optics. Radiophysics and Quantum Electronics 43, 798–804 (2000). https://doi.org/10.1023/A:1010327217556

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  • DOI: https://doi.org/10.1023/A:1010327217556

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