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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 16, Iss. 9 — Sep. 1, 1999
  • pp: 1512–1524

Theory of an optical parametric oscillator with resonant pump and signal

S. Schiller, K. Schneider, and J. Mlynek  »View Author Affiliations

JOSA B, Vol. 16, Issue 9, pp. 1512-1524 (1999)

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We derive the properties of a pump-resonant singly resonant optical parametric oscillator for which the pump and one of the parametrically generated waves share a common cavity. Wave-vector mismatch and focusing effects are taken into account. We calculate the oscillation threshold and its dependence on emission wavelengths as the result of mode shape changes. The conversion efficiencies for signal and idler waves are calculated. It is shown that one can maximize the conversion efficiencies by optimizing mirror transmissivities. The interference effects that occur in a standing-wave geometry and the mode content of the nonresonant wave are also analyzed.

© 1999 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers

S. Schiller, K. Schneider, and J. Mlynek, "Theory of an optical parametric oscillator with resonant pump and signal," J. Opt. Soc. Am. B 16, 1512-1524 (1999)

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  1. P. E. Powers, T. J. Kulp, and S. E. Bisson, “Continuous tuning of a continuous-wave periodically poled lithium niobate optical parametric oscillator by use of a fan-out grating design,” Opt. Lett. 23, 159–161 (1998). [CrossRef]
  2. G. M. Gibson, M. H. Dunn, and M. J. Padgett, “Application of a continuously tunable, cw optical parametric oscillator for high-resolution spectroscopy,” Opt. Lett. 23, 40–42 (1998). [CrossRef]
  3. R. Al-Tahtamouni, K. Bencheikh, R. Storz, K. Schneider, M. Lang, J. Mlynek, and S. Schiller, “Long-term stable operation and absolute frequency stabilization of continuous-wave doubly-resonant optical parametric oscillators,” Appl. Phys. B 66, 733–740 (1998). [CrossRef]
  4. F. Kühnemann, K. Schneider, A. Hecker, A. A. E. Martis, W. Urban, S. Schiller, and J. Mlynek, “Photoacoustic trace gas detection with a single-frequency continuous-wave optical parametric oscillator,” Appl. Phys. B 66, 741–746 (1998). [CrossRef]
  5. K. Schneider, P. Kramper, O. Mor, S. Schiller, and J. Mlynek, “Continuous-wave, single-frequency parametric oscillator for the 1.45–4.0 μm range,” in Advanced Solid State Lasers, W. R. Bosenberg and M. M. Fejer, eds., Vol. 19 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1998), pp. 256–258.
  6. K. Schneider, P. Kramper, S. Schiller, and J. Mlynek, “Toward an optical synthesizer: a single-frequency parametric oscillator using periodically poled LiNbO3,” Opt. Lett. 22, 1293–1295 (1997). [CrossRef]
  7. K. Schneider and S. Schiller, “Narrow-linewidth, pump-enhanced singly-resonant parametric oscillator pumped at 532 nm,” Appl. Phys. B 65, 775–777 (1997). [CrossRef]
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  12. S. Guha, F. Wu, and J. Falk, “The effect of focusing on parametric oscillation,” IEEE J. Quantum Electron. QE-18, 907–912 (1982). [CrossRef]
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  14. S. Schiller, R. Bruckmeier, and A. G. White, “Classical and quantum properties of the subharmonic-pumped parametric oscillator,” Opt. Commun. 138, 158–171 (1997). [CrossRef]
  15. S. Guha, “Focusing dependence of the efficiency of a singly resonant optical parametric oscillator,” Appl. Phys. B 66, 663–676 (1998). [CrossRef]
  16. A. E. Siegman, Lasers (University Science, Mill Valley, Calif., 1986).
  17. I. S. Gradstein and I. M. Rhyzik, Table of Integrals, Series, and Products (Academic, New York, 1980), p. 837, Eq. (7.373.2).
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  19. The maximization may be implemented with a wedged quasi-phase-matched crystal. See G. Imeshev, M. Proctor, and M. M. Fejer, “Phase correction in double-pass quasi-phase-matched second-harmonic generation with a wedged crystal,” Opt. Lett. 23, 165–167 (1998). [CrossRef]

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