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Canonical transformation method in classical electrodynamics


The solutions of Maxwell's equations in the parabolic equation approximation is obtained on the basis of the canonical transformation method. The Hamiltonian form of the equations for the field in an anisotropic stratified medium is also examined. The perturbation theory for the calculation of the wave reflection and transmission coefficients is developed.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 46–50, August, 1983.

In conclusion, the author thanks A. A. Sokolov for discussion of the work.

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Pavlenko, Y.G. Canonical transformation method in classical electrodynamics. Soviet Physics Journal 26, 716–720 (1983).

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  • Reflection
  • Perturbation Theory
  • Parabolic Equation
  • Transmission Coefficient
  • Transformation Method