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Study of complex huygens' principle

Abstract

Complex Huygens' principle provides an exact base for the simulation of wave propagation through a complex medium by complex ray. In this article, presented is the general formula of complex Huygens' principle, i. e. the complex point source representation of three-dimensional wave propagation, and the analytic formula of the strength of complex point source is derived here for the special case that wave sources are enclosed in a sphere.

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References

  1. 1.

    V. Cerveny, M. M. Popov, I. Psencik. Computation of Wave Fields in Inhomogeneous Media—Gaussian Beam Approach.Geophys. J. R. astr. Soc., Vol. 70, 1982, pp. 109–128.

    Google Scholar 

  2. 2.

    L. B. Felsen. Geometrical Theory of Diffraction, Evanescent Waves, Complex Rays and Gaussian Beams.Geophys. J. R. astr. Soc., Vol. 79, 1984, pp. 77–88.

    Google Scholar 

  3. 3.

    A. N. Norris. Complex Point—Source Representation of Real Point Sources and the Gaussian Beam Summation Method.J. Opt. Soc. Am., Vol. A3, 1986, pp. 2005–2010.

    Google Scholar 

  4. 4.

    E. Heyman. Complex Source Pulsed Beam Representation of Transient Radiation.Wave Motion, Vol. 11, 1989, pp. 337–349.

    Google Scholar 

  5. 5.

    B. B. Baker and E. T. Copson.The mathematical theory of Huygens' Principle, PP. 24–26, Oxford, Clarendon Press, 2nd ed., 1950.

    Google Scholar 

  6. 6.

    M. Born and E. wolf.Principles of Optics. P. 132, Pergamon Press, 6nd ed., 1980.

  7. 7.

    I. T. Lu, L. B. Felsen, Y. Z. Ruan, Spectral Aspects of the Gaussian Beam Method.Geophys. J. Roy. astr. Soc., Vol. 89, 1987, pp. 915–932.

    Google Scholar 

  8. 8.

    Y. Z. Ruan and W. L. Feng. RCS calculation of open cavities by complex ray expansion.IEE Proc. Pt. F, 1991, 138 (5), 397–399.

    Google Scholar 

  9. 9.

    N. R. Hill. Gaussian beam migration.Geophysics, Vol. 55, No. 11, 1988, pp. 1410–1428.

    Google Scholar 

  10. 10.

    J. A. Stratton.Electromanetic Theory. PP. 399–414, McGraw-Hill, New York, 1941.

    Google Scholar 

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Yao, D. Study of complex huygens' principle. Int J Infrared Milli Waves 16, 831–838 (1995). https://doi.org/10.1007/BF02066643

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Key Words

  • Complex point source
  • real point source
  • Huygens' principle
  • wave propagation