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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 9, Iss. 12 — Dec. 1, 1970
  • pp: 2729–2736

Unstable Optical Resonator Loss Calculations Using the Prony Method

A. E. Siegman and H. Y. Miller  »View Author Affiliations


Applied Optics, Vol. 9, Issue 12, pp. 2729-2736 (1970)
http://dx.doi.org/10.1364/AO.9.002729


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Abstract

The eigenvalues for all the significant low-order resonant modes of an unstable optical resonator with circular mirrors are computed using an eigenvalue method called the Prony method. A general equivalence relation is also given, by means of which one can obtain the design parameters for a single-ended unstable resonator of the type usually employed in practical lasers, from the calculated or tabulated values for an equivalent symmetric or double-ended unstable resonator.

© 1970 Optical Society of America

History
Original Manuscript: April 20, 1970
Published: December 1, 1970

Citation
A. E. Siegman and H. Y. Miller, "Unstable Optical Resonator Loss Calculations Using the Prony Method," Appl. Opt. 9, 2729-2736 (1970)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-9-12-2729


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References

  1. A. E. Siegman, Proc. IEEE 53, 277 (1965). [CrossRef]
  2. A. E. Siegman, R. Arrathoon, IEEE J. Quantum Electronics QE-3, 156 (1967). [CrossRef]
  3. W. K. Kahn, Appl. Opt. 5, 407 (1966). [CrossRef] [PubMed]
  4. S. R. Barone, Appl. Opt. 6, 861 (1967). [CrossRef] [PubMed]
  5. L. Bergstein, Appl. Opt. 7, 495 (1968). [CrossRef] [PubMed]
  6. W. Streifer, IEEE J. Quantum Electronics QE-4, 229 (1968). [CrossRef]
  7. R. L. Sanderson, W. Streifer, Appl. Opt. 8, 2129 (1969). [CrossRef] [PubMed]
  8. R. L. Sanderson, W. Streifer, Appl. Opt. 8, 2241 (1969). [CrossRef] [PubMed]
  9. D. C. Sinclair, T. H. E. Cottrell, Appl. Opt. 6, 845 (1967). [CrossRef] [PubMed]
  10. Yu A. Anenev, N. A. Sventsitskaya, V. E. Sherstobitov, Sov. Phys.—Doklady 13, 351 (1968).
  11. W. F. Krupke, W. R. Sooy, IEEE J. Quantum Electronics QE-5, 575 (1969). [CrossRef]
  12. Y. A. Ananev, N. A. Sventsitskaya, V. E. Sherstobitov, Sov. Phys.—JETP 28, 69 (1969).
  13. A. G. Fox, T. Li, Bell Sys. Tech. J. 40, 453 (1961).
  14. R. L. Sanderson, W. Streifer, Appl. Opt. 8, 131 (1969). [CrossRef] [PubMed]
  15. E. Bodewig, Matrix Calculus (North-Holland Publ. Co., Amsterdam, and Wiley, New York, 1956), esp. Part IV-A, Sec. 2.5.2, p. 256.
  16. J. H. Wilkinson, The Algebraic Eigenvalue Problem (Clarendon Press, Oxford, 1965), especially p. 369, and Chap. 9.
  17. M. Clint, A. Jennings, Computer J. 13, 76 (1970). [CrossRef]
  18. Gaspard Riche Prony, J. l’Ecole Polytechnique Paris, 2nd Cahier 1, 24 (December1795).
  19. L. Weiss, R. N. McDonough, SIAM Rev. 5, 145 (1963). [CrossRef]
  20. D. F. Tuttle, in Aspects of Network and System Theory, R. E. Kalman, N. DeClaris, Eds. (Holt, Rinehart and Winston, New York, 1971), Chap. 7.
  21. J. P. Gordon, H. Kogelnik, Bell Syst. Tech. J. 43, 2873 (1964).

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