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W. Szabelak and W. Nasalski, “Transmission of Elegant Laguerre-Gaussian Beams at a Dielectric Interface – numerical simulations,” Bulletin of the Polish Academy of Sciencies, Vol. 57, No. 2, 2009, pp. 181-188.

has been cited by the following article:

• TITLE: A Simple Analytic Approximation for the Refracted Field at Gaussian Beam Incidence upon a Boundary of Absorbing Medium

  AUTHORS: Vladimir M. Serdyuk, Joseph A. Titovitsky

  KEYWORDS: Gaussian Beam; Refraction; Absorbing Medium; Total Internal Reflection

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.2 No.11, December 1, 2010

  ABSTRACT: An approximate analytic model is presented to describe spatial structure of refracted electromagnetic field arising at oblique incidence of a Gaussian beam on a plane boundary of an absorbing homogeneous medium. The analytic solution is obtained by asymptotic approximation of a Fourier field integral under the condition of great beam width in comparison with a wavelength (the geometrical-optics approximation). This model can be used also for approximate simulation of refracted field in the cases of beam incidence near the critical angle on transparent or absorbing (amplifying) refracting medium, if one artificially introduces the additional absorption (amplification), whose value is proportional to the ratio of the wavelength and the effective beam width. It is shown that the analytic model reflects the general features of refracted field at total internal reflection.