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Applied Optics

Applied Optics


  • Vol. 29, Iss. 3 — Jan. 20, 1990
  • pp: 394–403

Stabilization of laser beam alignment to an optical resonator by heterodyne detection of off-axis modes

Nicholas M. Sampas and Dana Z. Anderson  »View Author Affiliations

Applied Optics, Vol. 29, Issue 3, pp. 394-403 (1990)

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We demonstrate a method for real time alignment of a Gaussian beam to an optical resonator. While the frequency of a source laser is stabilized to a fundamental cavity mode resonance, phase modulation sidebands are applied at the off-axis mode frequencies. Asymmetrical transmission of the sideband at the frequency of each off-axis mode produces amplitude modulated optical signals and indicates the extent of the misalignments. Phase sensitive detection of these optical signals provides the error signals which are minimized by a control system that steers the input beam. In this way, optimum coupling of an injected source beam can be maintained to the fundamental mode of the resonator. This active alignment technique has demonstrated a sensitivity to tilts of 0.01 nrad / Hz and to lateral beam displacements of 0.08 nm / Hz in the ~1-Hz–1-kHz frequency range. These values correspond to 2 parts in 10 7 / Hz for both the far-field divergence angle and the beam waist size. Such performance is within a factor of 2 of the shot noise limitation of the error signal measurement for a detected power of 160 μW.

© 1990 Optical Society of America

Original Manuscript: August 16, 1988
Published: January 20, 1990

Nicholas M. Sampas and Dana Z. Anderson, "Stabilization of laser beam alignment to an optical resonator by heterodyne detection of off-axis modes," Appl. Opt. 29, 394-403 (1990)

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  1. G. A. Sanders, M. G. Prentiss, S. Ezekiel, “Passive Ring Resonator Method for Sensitive Inertial Rotation Measurements in Geophysics and Relativity,” Opt. Lett. 6, 569–571 (1981). [CrossRef] [PubMed]
  2. J. Hough, D. Hils, M. D. Rayman, L.-S. Ma, L. Hollberg, J. L. Hall, “Dye Laser Stabilization Using Optical Resonators,” Appl. Phys. B 33, 179 (1984). [CrossRef]
  3. A. Rudiger, R. Schulling, L. Schnupp, W. Winkler, H. Billing, K. Maischberger, “A Mode Selector to Suppress Laser Beam Fluctuations in Laser Beam Geometry,” Opt. Acta 28, 641 (1981). [CrossRef]
  4. S. Grafstrom, U. Harbarth, J. Kowalski, R. Neumann, S. Noehte, “Fast Laser Beam Position Control with Sub-Microradian Precision,” Opt. Commun. 65, 121 (1988). [CrossRef]
  5. D. Z. Anderson, “Alignment of Resonant Optical Cavities,” Appl. Opt. 23, 2944–2949 (1984). [CrossRef] [PubMed]
  6. W. R. P. Drever, R. Spero, California Institute of Technology; private communication (1984).
  7. M. R. Sayeh, H. R. Bilger, T. Habib, “Optical Resonator with an External Source: Excitation of the Hermite-Gaussian Modes,” Appl. Opt. 24, 3756–3761 (1985). [CrossRef] [PubMed]
  8. H. Kogelnik, T. Li, “Laser Beams and Resonators,” Appl. Opt. 5, 1550–1567 (1960). [CrossRef]
  9. K. E. Oughstun, “On the Completeness of Stationary Transverse Modes on an Optical Cavity,” Opt. Commun. 42, 72 (1982). [CrossRef]
  10. A. E. Siegman, “Orthogonal Properties of Optical Resonator Eigenmodes,” Opt. Commun. 31, 369–000 (1979). [CrossRef]
  11. A. E. Siegman, Lasers (University Science Books, Mill Valley, Ca, 1986), pp. 642–652.
  12. S. A. Collins “Analysis of Optical Resonators Involving Focusing Elements,” Appl. Opt. 3, 1263–1275 (1964). [CrossRef]
  13. 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. B 31, 97 (1983). [CrossRef]
  14. J. L. Hall, L-S. Ma, G. Kramer, “Principles of Optical Phase Locking: With Application to Internal Mirror He–Ne Lasers Phase Locked via Fast Control of the Discharge Current,” IEEE J. Quantum Electron. (Special issue on Applications of Q.E. to Frequency Standards, Clocks, and Inertial Rotation Sensors) QE-23, 427 (1987). [CrossRef]
  15. R. E. Meyer, G. A. Sanders, S. Ezekiel, “Observation of Spatial Variations in the Resonance Frequency of an Optical Resonator,” J. Opt. Soc. Am. 73, 939–942 (1983). [CrossRef]

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