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Applied Optics

Applied Optics


  • Vol. 35, Iss. 9 — Mar. 20, 1996
  • pp: 1452–1463

Optical parametric amplifiers: a discrete dynamical model of singly resonant operation leading to a novel approach to the design of systems for high-efficiency amplification

David S. Anker  »View Author Affiliations

Applied Optics, Vol. 35, Issue 9, pp. 1452-1463 (1996)

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A simple plane-wave model of pulsed, singly resonant, optical-parametric-oscillator and optical-parametric-oscillator–amplifier operation leads to a description of such systems in terms of a discrete dynamical system. The theoretical limits on conversion efficiencies derivable from this model were explored. Analysis of the model for an optical parametric oscillator–amplifier (OPOA) indicates that the effect that backconversion has in limiting efficiency can be avoided if one precisely shapes the time profile of the pump pulse and combines it with an OPOA that is Q switched. For a case of type I phase matching with β-barium borate with a specific pump profile and a 65-mJ input pulse, under the assumption of small absorption, the following are demonstrated: (1) the theoretical possibility of amplification to a few joules at quantum efficiencies higher than 90% and (2) the possibility of amplification to approximately 1 J at an energy efficiency near 45% in a configuration satisfying realistic stress constraints. Pulse widths are in the nanosecond range, and spot sizes are in the millimeter range. Issues of implementation are discussed.

© 1996 Optical Society of America

Original Manuscript: February 7, 1995
Revised Manuscript: April 13, 1995
Published: March 20, 1996

David S. Anker, "Optical parametric amplifiers: a discrete dynamical model of singly resonant operation leading to a novel approach to the design of systems for high-efficiency amplification," Appl. Opt. 35, 1452-1463 (1996)

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  1. J. A. C. Terry, Y. Cui, Y. Yang, W. Sibbett, M. H. Dunn, “Low-threshold opration of an all-solid-state KTP optical parametric oscillator,” J. Opt. Soc. Am. B 11, 758–769 (1994).
  2. A. Fix, T. Schroder, R. Wallenstein, J. G. Haub, M. J. Johnson, B. J. Orr, “Turnable β-barium borate optical parametric oscillator: operating characteristics with and without injection seeding,” J. Opt. Soc. Am. B 10, 1744–1750 (1993).
  3. M. J. T. Milton, “General expressions for the efficiency of phase-matched and nonphase-matched second-order nonlinear interactions between plane waves,” IEEE J. Quantum Electron. 28, 739–749 (1992).
  4. J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, “Interaction between light waves in a nonlinear dielectric,” Phys. Rev. 127, 1918–1939 (1962).
  5. P. P. Bey, C. L. Tang, “Plane-wave theory of a parametric oscillator and a coupled oscillator-upconverter,” IEEE J. Quantum Electron. 8, 361–369 (1972).
  6. R. L. Byer, “Parametric oscillators-linear materials,” in Non-linear Optics, P. G. Harper, B. S. Wherrett, eds. (Academic, New York, 1977), pp. 91–160.
  7. R. A. Baumgartner, R. L. Byer, “Optical parametric amplification,” IEEE J. Quantum Electron. 15, 432–444 (1979).
  8. F. Verhulst, Nonlinear Differential Equations and Dynamical Systems (Springer-Verlag, New York, 1990).
  9. S. N. Rasband, Chaotic Dynamics of Nonlinear Systems (Wiley, New York, 1990).
  10. R. A. Holmgren, A First Course in Dynamical Systems (Springer-Verlag, New York, 1994).
  11. D. Eimerl, L. Davis, S. Velsko, E. K. Graham, A. Zalkin, “Optical, mechanical, and thermal properties of barium borate,” J. Appl. Phys. 62, 1968–1983 (1987).
  12. V. G. Dmitriev, G. G. Gurzadyan, D. N. Nikogosyan, Handbook of Nonlinear Optical Crystals (Springer-Verlag, New York, 1991).
  13. M. Abramowitz, I. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1964).
  14. Y. L. Luke, Mathematical Functions and their Approximations (Academic, New York, 1975), pp. 376–379.
  15. H. Nakatani, W. R. Bosenberg, L. K. Cheng, C. L. Tang, “Laser-induced damage in beta-barium metaborate,” Appl. Phys. Lett. 53, 2587–2589 (1988).
  16. P. H. Malyak, “Two-mirror unobscured optical system for reshaping the irradiance distribution of a laser beam,” Appl. Opt. 31, 4377–4383 (1992).
  17. B. R. Suydam, “Self-focusing of very powerful laser beams,” in Laser-Induced Damage in Materials, A. J. Glass, A. H. Guenther, eds., Natl. Bur. Stand. (U.S.) Special Pub.387, 42–48 (1973).
  18. S. J. Brosnan, R. L. Byer, “Optical parametric oscillator threshold and linewidth studies,” IEEE J. Quantum Electron. 15, 415–431 (1979).
  19. S. T. Yang, R. C. Eckardt, R. L. Byer, “Power and spectral characteristics of continuous-wave parametric oscillators: the doubly to singly resonant transition,” J. Opt. Soc. Am. B 10, 1684–1695 (1993).

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