Quantum noise in ring-laser gyros. I. Theoretical formulation of problem

J. D. Cresser, W. H. Louisell, P. Meystre, W. Schleich, and M. O. Scully
Phys. Rev. A 25, 2214 – Published 1 April 1982
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Abstract

This is the first of three papers dealing with the effects of quantum noise on the mean beat frequency and the spectrum of the beat signal produced by a ring-laser gyro. The behavior of a noise-free ring laser is analyzed from a novel point of view, and the characteristic response curve, demonstrating the existence of the well-known locked region, is derived. The noise-free spectrum is calculated in both the locked and unlocked regions, and the existence of higher harmonics in the unlocked region is demonstrated. The general eqution for the phase of the beat signal is then derived from a quantum-noise perspective and the general approach to the problem of calculating the spectrum in the presence of noise is presented from a Fokker-Planck point of view. Approximate analytic expressions for the spectrum are derived in the locked region and well into the unlocked region. In the latter case, the usual laser spectrum is obtained, while in the former case, the spectrum is shown to separate into two parts: a "coherent" part consisting of a δ function centered at zero frequency which represents the continued effect of locking even in the presence of noise, and a weak background "incoherent" part representing the effects of noise.

  • Received 1 June 1981

DOI:https://doi.org/10.1103/PhysRevA.25.2214

©1982 American Physical Society

Authors & Affiliations

J. D. Cresser, W. H. Louisell*, P. Meystre, W. Schleich, and M. O. Scully

  • Max-Planck-Institut für Quantenoptik, D-8046 Garching, Federal Republic of Germany

  • *Permanent address: University of Southern California, Los Angeles, California.
  • Also, Institute for Modern Optics, University of New Mexico, Albuquerque, New Mexico.

See Also

Quantum noise in ring-laser gyros. II. Numerical results

J. D. Cresser, D. Hammonds, W. H. Louisell, P. Meystre, and H. Risken
Phys. Rev. A 25, 2226 (1982)

Quantum noise in ring-laser gyros. III. Approximate analytic results in unlocked region

J. D. Cresser
Phys. Rev. A 26, 398 (1982)

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Vol. 25, Iss. 4 — April 1982

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