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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 4, Iss. 12 — Dec. 1, 1965
  • pp: 1562–1569

On the Propagation of Gaussian Beams of Light Through Lenslike Media Including those with a Loss or Gain Variation

Herwig Kogelnik  »View Author Affiliations


Applied Optics, Vol. 4, Issue 12, pp. 1562-1569 (1965)
http://dx.doi.org/10.1364/AO.4.001562


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Abstract

A theoretical analysis is made of Gaussian beam propagation in media where the refractive index and/or the gain constant varies quadratically with the distance from the optic axis. Use of a complex beam parameter simplifies the analysis. A differential equation for the complex beam parameter is deduced from the wave equation for the complex beam parameter is deduced from the wave equation, and various of its solutions are discussed. This includes a discussion of light propagation in media with a gain profile, which are found capable of supporting stationary beams of constant diameter.

© 1965 Optical Society of America

History
Original Manuscript: June 3, 1965
Published: December 1, 1965

Citation
Herwig Kogelnik, "On the Propagation of Gaussian Beams of Light Through Lenslike Media Including those with a Loss or Gain Variation," Appl. Opt. 4, 1562-1569 (1965)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-4-12-1562


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References

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