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| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 11, Iss. 6 — Jun. 1, 1986
  • pp: 365–367

Ultrahigh-finesse optical cavities

C. Fabre, R. G. DeVoe, and R. G. Brewer  »View Author Affiliations


Optics Letters, Vol. 11, Issue 6, pp. 365-367 (1986)
http://dx.doi.org/10.1364/OL.11.000365


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Abstract

As the finesse of a Fabry–Perot optical cavity increases to about 20,000, the fringe width (~10 kHz for a 50-cm cavity) is sufficiently narrow for transverse-mode splittings to be resolved by using a highly stabilized ring dye laser. A perturbative theory interprets this effect as a slight deviation of the cavity from cylindrical symmetry, the magnitude asymmetry being at the level of a few tenths of a nanometer. The understanding of these splittings will permit of accurate optical frequency measurements by the recently proposed optical–radio-frequency divider.

© 1986 Optical Society of America

History
Original Manuscript: February 10, 1986
Manuscript Accepted: March 24, 1986
Published: June 1, 1986

Citation
C. Fabre, R. G. DeVoe, and R. G. Brewer, "Ultrahigh-finesse optical cavities," Opt. Lett. 11, 365-367 (1986)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-11-6-365


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References

  1. R. G. DeVoe, R. G. Brewer, Phys. Rev. A 30, 2827 (1984). [CrossRef]
  2. R. G. DeVoe, C. Fabre, R. G. Brewer, in Laser Spectroscopy VII, T. Hänsch, R. Shen, eds. (Springer-Verlag, New York, 1985), p. 358.
  3. R. W. P. Drever, Gravitational Radiation, Les Houches 1982 Summer School (North-Holland, Amsterdam, 1983), p. 321.
  4. M. M. Popov, Opt. Spectrosc. (USSR) 25, 170, 213 (1968).
  5. J. Arnaud, H. Kogelnik, Appl. Opt. 8, 1687 (1969). [CrossRef] [PubMed]
  6. J. Arnaud, Bell Syst. Tech. J. 49, 2311 (1970).
  7. We consider elsewhere2 the mirror-reflection phase-shift correction.
  8. For a vector wave equation treatment, see L. W. Davis, Phys. Rev. A 30, 3092 (1984). [CrossRef]
  9. R. G. DeVoe, R. G. Brewer, Phys. Rev. Lett. 50, 1269 (1983). [CrossRef]
  10. A. Schenzle, R. G. DeVoe, R. G. Brewer, Phys. Rev. A 25, 2606 (1982). [CrossRef]
  11. H. Kogelnik, W. W. Rigrod, Proc. IRE 50, 220 (1962).
  12. In addition to variations of the mirror surface that produce elliptical symmetry, there are of course random variations in the mirror surface at the angstrom level that have no particular symmetry at all. It may be possible to map such variations in the mirror surface by studying splittings of higher-order transverse modes, which display multiplets of p + q + 1 frequencies. Since the Hermite polynomials form a complete set in two dimensions, it should be possible to map an arbitrary surface in this way.

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