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

Kogelnik, Herwig·1965·Applied Optics

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.

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Metadata

Authors
Kogelnik, H.
Venue
Applied Optics
Published
1965-12-01
Volume
4
Issue
12
Pages
1562
ISSN
  • 0003-6935 (ISSN-L)
  • 1539-4522
OpenAlex
W2077685547
Cited by
560
References
0
FWCI
4.25
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: On the Propagation of Gaussian Beams of Light Through Lenslike Media Including those with a Loss or Gain Variation. https://app.cochat.ai/papers/10.1364/ao.4.001562
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Kogelnik, H. (1965). On the Propagation of Gaussian Beams of Light Through Lenslike Media Including those with a Loss or Gain Variation. Applied Optics. https://doi.org/10.1364/ao.4.001562

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.