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Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 16, Iss. 4 — Feb. 15, 1991
  • pp: 196–198

Beam propagation and the ABCD ray matrices

P. A. Bélanger  »View Author Affiliations


Optics Letters, Vol. 16, Issue 4, pp. 196-198 (1991)
http://dx.doi.org/10.1364/OL.16.000196


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Abstract

We have generalized the ABCD propagation law, Q2 = (AQ1 + B)/(CQ1 + D), for an optical system by introducing a generalized complex radius of curvature Q for a general optical beam. The real part of 1/Q is related to the mean radius of curvature of the wave front, while the imaginary part is related to the second moment of the amplitude of the beam.

© 1991 Optical Society of America

History
Original Manuscript: November 26, 1990
Manuscript Accepted: December 5, 1990
Published: February 15, 1991

Citation
P. A. Bélanger, "Beam propagation and the ABCD ray matrices," Opt. Lett. 16, 196-198 (1991)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-16-4-196


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References

  1. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
  2. A. E. Siegman, Proc. Soc. Photo-Opt. Instrum. Eng. 1224, 2 (1990).
  3. S. Lavi, R. Prochaska, E. Keren, Appl. Opt. 27, 3696 (1988). [CrossRef] [PubMed]
  4. M. J. Bastiaans, Optik 82, 173 (1989).
  5. A. E. Siegman, M. W. Sasnett, T. F. Johnston, “Defining and measuring laser beam quality: the M2 factor,” IEEE J. Quantum Electron. (to be published).

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