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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 10 — Oct. 1, 1976
  • pp: 1032–1036

Perturbed Gaussian modes of an unbalanced antiresonant-ring laser cavity

Shinan-Chur Sheng and A. E. Siegman  »View Author Affiliations


JOSA, Vol. 66, Issue 10, pp. 1032-1036 (1976)
http://dx.doi.org/10.1364/JOSA.66.001032


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Abstract

We present an analysis of the perturbed Gaussian transverse modes of an antiresonant-ring laser cavity useful for cavity dumping, mode locking, and other applications. A plane-wave analysis of the antiresonant ring with a 50-50 beam splitter indicates that the coupling out the output port of the ring should be identically zero. A perturbed Gaussian mode analysis of a stable antiresonant-ring cavity shows, however, that if the ring is not optically symmetric (in the sense that the paraxial ray matrix is not symmetric in the two directions around the ring) then the modes of the cavity consist of a perturbed mixture of stable Gaussian modes, with a significant interference output or leakage from the output port of the ring. The existence of this leakage output has also been confirmed experimentally and by numerical Fox and Li calculation of the lowest mode of the unbalanced ring. This represents an unusual situation in which there is transverse mode discrimination without there being any diffractive output coupling.

© 1976 Optical Society of America

Citation
Shinan-Chur Sheng and A. E. Siegman, "Perturbed Gaussian modes of an unbalanced antiresonant-ring laser cavity," J. Opt. Soc. Am. 66, 1032-1036 (1976)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-66-10-1032


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References

  1. A. E. Siegman, "An Antiresonant Ring Interferometer for Coupled Laser Cavities, Laser Output Coupling, Mode Locking, and Cavity Damping," IEEE J. Quantum Electron. QE-9, 247 (1973).
  2. U. S. Patent No. 3, 869, 210, "Laser System with an Antiresonant Ring," 4 March 1975, A. E. Siegman.
  3. W. R. Trutna, Shinan–Chur Sheng, and A. E. Siegman, "Laser Cavity Dumping Using the Antiresonant Ring" (unpublished).
  4. Stuart A. Collins, Jr., "Lens–System Diffraction Integral Written in Terms of Matrix Optics," J. Opt. Soc. Am. 60, 1168 (1970).
  5. G. A. Deschamps, "Ray Techniques in Electromagnetics, Proc. IEEE 60, 1022 (1972).
  6. P. Baues, 'Huygens' Principle in Inhomogeneous, Isotropic Media and a General Integral Equation Applicable to Optical Resonators," J. Optoelectron. 1, 37 (1966).
  7. P. Baues, "The Connection of Geometrical Optics with the Propagation of Gaussian Beams and the Theory of Optical Resonators," J. Optoelectron. 1, 103–108 (1969).
  8. A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley, London, 1975).

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