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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 23, Iss. 17 — Sep. 1, 1984
  • pp: 2944–2949

Alignment of resonant optical cavities

Dana Z. Anderson  »View Author Affiliations


Applied Optics, Vol. 23, Issue 17, pp. 2944-2949 (1984)
http://dx.doi.org/10.1364/AO.23.002944


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Abstract

When an input Gaussian beam is improperly aligned and mode-matched to a stable optical resonator, the electric field in the resonator couples to off-axis spatial eigenmodes. We show that a translation of the input axis or a mismatch of the beam waist to the resonator waist size causes a coupling of off-axis modes which is inphase with the input field. On the other hand, a tilt of the input beam or a mismatch of the beam waist position to cavity waist position couples to these modes in quadrature phase. We also propose a method to measure these coupling coefficients and thereby provide a means to align and mode-match a resonant optical cavity in real time.

© 1984 Optical Society of America

History
Original Manuscript: April 12, 1984
Published: September 1, 1984

Citation
Dana Z. Anderson, "Alignment of resonant optical cavities," Appl. Opt. 23, 2944-2949 (1984)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-23-17-2944


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References

  1. A. Rudiger, R. Schilling, L. Schnupp, W. Winkler, H. Billing, K. Maischberger, “A Mode Selector to Suppress Fluctuations in Laser Beam Geometry,” Opt. Acta 28, 641 (1981). [CrossRef]
  2. H. Kogelnik, T. Li, “Laser Beams and Resonators,” Appl. Opt. 5, 1550 (1966). [CrossRef] [PubMed]
  3. K. E. Oughstun, “On the Completeness of the Stationary Transverse Modes in an Optical Cavity,” Opt. Commun. 42, 72 (1982). [CrossRef]
  4. Yu. V. Troitskii, “Optimization and Comparison of the Characteristics of Optical Interference Discriminators,” Sov. J. Quanum. Electron. 8, 628 (May1978). [CrossRef]
  5. See, for example, R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, H. Ward, “Laser Phase and Frequency Stabilization Using an Optical Resonator,” Appl. Phys. B31, 97 (1983).
  6. H. J. Baker, “Mode-Matching Techniques as an Aid to Laser Cavity Alignment,” Opt. Acta 27, 897 (1979). [CrossRef]
  7. S. A. Collins, “Analysis of Optical Resonators Involving Focusing Elements,” Appl. Opt. 3, 1263 (1964). [CrossRef]

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