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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 10 — Oct. 1, 1976
  • pp: 1042–1047

Time-dependent geometrical optics

J. S. Desjardins  »View Author Affiliations


JOSA, Vol. 66, Issue 10, pp. 1042-1047 (1976)
http://dx.doi.org/10.1364/JOSA.66.001042


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Abstract

The basic relations of geometrical optics for the case of an isotropic, time-dependent medium are derived from Fermat’s principle. The time-dependent theory is applied by discussing the Debye-Sears effect and the frequency fluctuations in a plane light wave induced by atmospheric turbulence and a steady cross wind. In the former case it is shown that the Brillouin scattering relation Δω = VΔ k holds in the geometrical optics limit where V is the sound velocity, while in the latter case we find, using a method due to Tatarski, that the fluctuations in frequency are of the order of a few kilohertz under the most extreme conditions of turbulence, wind speed, and range. The intensity law of geometrical optics, I σ = constant, is generalized to read Iσ/v2 = constant, where v is the frequency of the light wave.

© 1976 Optical Society of America

Citation
J. S. Desjardins, "Time-dependent geometrical optics," J. Opt. Soc. Am. 66, 1042-1047 (1976)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-66-10-1042

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