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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 19, Iss. 10 — May. 15, 1980
  • pp: 1618–1621

Matrix methods for bare resonator eigenvalue analysis

W. P. Latham, Jr. and G. C. Dente  »View Author Affiliations


Applied Optics, Vol. 19, Issue 10, pp. 1618-1621 (1980)
http://dx.doi.org/10.1364/AO.19.001618


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Abstract

Bare resonator eigenvalues have traditionally been calculated using Fox and Li iterative techniques or the Prony method presented by Siegman and Miller. A theoretical framework for bare resonator eigenvalue analysis is presented. Several new methods are given and compared with the Prony method.

© 1980 Optical Society of America

History
Original Manuscript: November 3, 1979
Published: May 15, 1980

Citation
W. P. Latham and G. C. Dente, "Matrix methods for bare resonator eigenvalue analysis," Appl. Opt. 19, 1618-1621 (1980)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-19-10-1618


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References

  1. A. G. Fox, T. Li, Proc. IEEE 51, 80 (1964). [CrossRef]
  2. A. E. Siegman, H. V. Miller, Appl. Opt. 9, 2729 (1970). [CrossRef] [PubMed]
  3. W. D. Murphy, M. L. Bernabe, Appl. Opt. 17, 2358 (1978). [CrossRef] [PubMed]
  4. A. N. Krylov, Izv. Akad. Nauk SSSR, Ser. Fiz.-Mat. 4, 320 (1931).
  5. J. H. Wilkinson, The Algebraic Eigenvalue Problem (Oxford U.P., London, 1965).
  6. W. P. Latham, T. C. Salvi, “Resonator Studies with the Gardner-Fresnel-Kirchhoff Propagator,” Opt. Lett. submitted for publication.
  7. A. E. Siegman, IEEE J. Quantum Electron. QE-12, 32 (1976).

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