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Propagation of electromagnetic radiation in uniaxial media

  • Optics of Stochastically-Heterogeneous Media
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Abstract

A rigorous approach to the solution of Maxwell equations for a monochromatic field in a homogeneous uniaxial medium is considered. The approach is based on using the tensor Green’s function. The general solution satisfying arbitrarily specified boundary conditions is presented. Conditions that must be satisfied by boundary conditions ensuring the existence of the field in the form of an ordinary or extraordinary wave in a uniaxial medium are formulated. These results make it possible to decompose arbitrarily specified boundary conditions, namely, to represent them as a uniquely possible combination of two terms each of which is responsible for the propagation of a wave of only one type. A version of an approximate decomposition of boundary conditions that is applicable to paraxial beams is proposed.

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References

  1. L. Felsen and N. Marcuvitz, Radiation and Scattering of Waves (Prentice-Hall, Englewood Cliffs, 1973), Vol. 2.

    Google Scholar 

  2. I. V. Lindell and F. Olyslager, “A collection of Green Functions,” Electromagn. Laborat. Report Series, Report 319 (Espoo: HUT, 1999).

    Google Scholar 

  3. F. V. Bunkin, “Radiation in Anisotropic Media,” Zh. Elektrotekhn. Fiz., No. 2, 338–346 (1957).

  4. S. D. Tvorogov and V. O. Troitskii, “Sumation of Frequencies in Focused Beams,” Optika Atmos. 3(3), 266–272 (1990).

    Google Scholar 

  5. I. E. Tamm, Foundations of Electricity (Nauka, Moscow, 1976).

    Google Scholar 

  6. S. D. Tvorogov and V. O. Troitskii, “Exact and Approximate Representations for a Laser Beam in a Uniaxial Homogeneous Medium,” Atmos. Ocean. Opt. 18(9), 664–673 (2005).

    Google Scholar 

  7. M. Born and E. Wolf, Principles of Optics (Pergamon, New York, 1964).

    Google Scholar 

  8. V. O. Troitskii, “Scalar Approximation for Second Harmonic Generation in a Uniaxial Crystal,” Atmos. Ocean. Opt. 20(9), 741–751 (2007).

    Google Scholar 

  9. 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 

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Authors and Affiliations

  1. V.E. Zuev Institute of Atmospheric Optics, Siberian Branch, Russian Academy of Sciences, pl. Akademika Zueva 1, Tomsk, 634021, Russia

    D. A. Marakasov & V. O. Troitskii

Authors
  1. D. A. Marakasov
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  2. V. O. Troitskii
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Correspondence to D. A. Marakasov.

Additional information

Original Russian Text © D.A. Marakasov, V.O. Troitskii, 2012, published in Optica Atmosfery i Okeana.

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Marakasov, D.A., Troitskii, V.O. Propagation of electromagnetic radiation in uniaxial media. Atmos Ocean Opt 25, 387–394 (2012). https://doi.org/10.1134/S1024856012060103

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  • DOI: https://doi.org/10.1134/S1024856012060103

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