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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 17, Iss. 3 — Mar. 1, 2000
  • pp: 381–386

Analytical solution for a lossy singly resonant optical parametric oscillator

Er’el Granot, Shaul Pearl, and Michael M. Tilleman  »View Author Affiliations

JOSA B, Vol. 17, Issue 3, pp. 381-386 (2000)

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We present a simple analytical solution for a singly resonant optical parametric oscillator (OPO). The analysis permits calculating the depletion efficiency of the OPO even when the resonated signal (or idler) suffers from strong intracavity losses. The main results are (1) that the maximum efficiency as a function of the pump power is highly dependent on the mirror reflectivity and on the intracavity losses; (2) that the threshold intensity and the pump intensity at which maximum efficiency is reached depend on the reflectivity, and the ratio between the two intensities maintains the relation 1I3max/Ithπ2/4; and (3) that the maximum efficiency for a Gaussian beam is 70%.

© 2000 Optical Society of America

OCIS Codes
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(190.7070) Nonlinear optics : Two-wave mixing

Er'el Granot, Shaul Pearl, and Michael M. Tilleman, "Analytical solution for a lossy singly resonant optical parametric oscillator," J. Opt. Soc. Am. B 17, 381-386 (2000)

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  1. S. A. Akhmanov and R. V. Khokhlov, “Concerning one possibility of amplification of light waves,” Zh. Eksp. Teor. Fiz. 43, 351 (1962) [Sov. Phys. JETP 16, 252–257 (1963)].
  2. R. H. Kingston, “Parametric amplification and oscillation at optical frequencies,” Proc. IRE 50, 472 (1962).
  3. N. M. Kroll, “Parametric amplification in spatially extended media and the application to the design of tunable oscillators at optical frequencies,” Phys. Rev. 127, 1207–1211 (1962). [CrossRef]
  4. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962). [CrossRef]
  5. J. A. Giordmaine and R. C. Miller, “Tunable coherent parametric oscillation in LiNbO3 at optical frequencies,” Phys. Rev. Lett. 14, 973–976 (1965). [CrossRef]
  6. A. E. Siegman, “Nonlinear optical effects: an optical power limiter,” Appl. Opt. 1, 739–744 (1962). [CrossRef]
  7. L. B. Kreuzer, “Single and multi-mode oscillation of the singly resonant optical parametric oscillator, in Proceedings of the Joint Conference on Lasers and Opto-Electronics,” (Institution of Electronic and Radio Engineers, London, 1969) pp. 52–63; S. E. Harris, “Tunable optical parametric oscillators,” Proc. IEEE 57, 2096–2113 (1969). [CrossRef]
  8. J. E. Bjorkholm, “Some effects of spatially nonuniform pumping in pulsed optical parametric oscillators,” IEEE J. Quantum Electron. QE-7, 109–117 (1971). [CrossRef]
  9. D. D. Lowenthal, “Cw periodically poled LiNbO3 optical parametric oscillator model with strong idler absorption,” IEEE J. Quantum Electron. 34, 1356–1366 (1998). [CrossRef]
  10. T. G. Giallorenzi and C. L. Tang, “Cw parametric scattering in ADP with strong absorption in the idler band,” Appl. Phys. Lett. 12, 376–378 (1968). [CrossRef]
  11. T. G. Giallorenzi and C. L. Tang, “Effect of idler attenuation on the spontaneous parametric scattering of intense light in LiNbO3 and NH4H2PO4,” Phys. Rev. 184, 353–355 (1969). [CrossRef]
  12. A. Yariv and W. H. Loisell, “Theory of the optical parametric oscillator,” IEEE J. Quantum Electron. QE-2, 418–424 (1966). [CrossRef]
  13. E. S. Cassedy and M. Jain, “A theoretical study of injection tuning of optical parametric oscillators,” IEEE J. Quantum Electron. QE-15, 1290–1301 (1979). [CrossRef]
  14. K. D. Shaw, Opt. Commun. 144, 134 (1997). [CrossRef]
  15. P. P. Bey and C. L. Tang, “Plane-wave theory of parametric oscillator and coupled oscillator–upconverter,” IEEE J. Quantum Electron. QE-8, 361–369 (1972). [CrossRef]
  16. R. Baumgartner and R. Byer, “Optical parametric amplification,” IEEE J. Quantum Electron. QE-15, 432–444 (1979). [CrossRef]
  17. A. Erdélyi, Higher Transcendental Functions (McGraw-Hill, New York, 1953).
  18. L. R. Marshall, A. Kaz, and O. Aytur, “Multimode pumping of optical parametric oscillators,” IEEE J. Quantum Electron. 32, 177–182 (1996). [CrossRef]

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