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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 73, Iss. 5 — May. 1, 1983
  • pp: 558–566

Numerical study of phase conjugation in stimulated Brillouin scattering from an optical waveguide

R. H. Lehmberg  »View Author Affiliations

JOSA, Vol. 73, Issue 5, pp. 558-566 (1983)

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Phase conjugation in stimulated Brillouin scattering (SBS) from an optical waveguide is studied numerically, using a Cartesian two-dimensional propagation code (BOUNCE) that includes pump depletion. The simulations show that light scattered back through a phase aberrator produces a far-field profile closely matching that of the incident beam; however, the near-field intensity exhibits large and rapid spatial inhomogeneities across the entire aberrator, even for conjugation fidelities H as high as 98%. This effect can be only partially removed by spatial-filtering techniques. The dependence of H on SBS gain, scattering length L, and the average intensity Ī and angular divergence θD of the pump beam is first studied in the low-reflectivity regime (i.e., ignoring pump depletion). For amplitude gains ≳e10, H decreases monotonically with the factor ĪD that is due to a small-scale intensity pulling effect. This result appears to be independent of whether θD arises entirely from the aberrator or from a combination of the aberrator plus curvature introduced by a lens. In all cases, pump depletion is found to enhance the fidelity by inhibiting the small-scale pulling effect. Under appropriate conditions, this can actually reverse the intensity dependence of H seen in the absence of pump depletion.

R. H. Lehmberg, "Numerical study of phase conjugation in stimulated Brillouin scattering from an optical waveguide," J. Opt. Soc. Am. 73, 558-566 (1983)

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  1. R. W. Hellwarth, "Optical beam phase conjugation by stimulated backscattering," Opt. Eng. 21, 257–262 (1982), and references therein.
  2. V. G. Sidorovich, "Theory of the Brillouin mirror," Zh. Tekh. Fiz. 46, 2168–2174 (1976) [Sov. Phys. Tech. Phys. 21, 1270–1274 (1976)].
  3. I. M. Bel'dyugin, M. G. Galushkin, E. M. Zemskov, and V. I. Mandrosov, "Complex conjugation of fields in stimulated Brillouin scattering." Kvantovaya Elektron. 3, 2467–2470 (1976) [Sov. J. Quantum Electron. 6, 1349–1351 (1976)].
  4. B. Ya. Zel'dovich and V. V. Shkunov, "Limits of existence of wavefront reversal in stimulated light scattering," Kvantovaya Elektron. 5, 36–43 (1978) [Sov. J. Quantum Electron. 8, 15–20 (1978)].
  5. B. Ya. Zel'dovich and T. V. Yakovlea, "Calculations of the accuracy of wavefront reversal utilizing pump radiation with onedimensional transverse modulation," Kvantovaya Elektron. 8, 314–321 (1981) [Sov; J. Quantum Electron. 11, 186–189 (1981)].
  6. R. W. Hellwarth, "Theory of phase conjugation by stimulated scattering in a waveguide," J. Opt. Soc. Am. 68, 1050–1056 (1978).
  7. R. H. Lehmberg, "Theory of optical ray retracing in laser-plasmabackscatter," Phys. Rev. Lett. 41, 863–866 (1978).
  8. N. B. Baranova, B. Ya. Zel'dovich, and V. V. Shkunov, "Wavefront reversal in stimulated light scattering in a focused spatially inhomogeneous pump beam," Kvantovaya Elektron. 5,973–985 (1978) [Sov. J. Quantum Electron. 8, 559–566 (1978)].
  9. N. B. Baranova and B. Ya. Zel'dovich, "Wavefront reversal of focused beams (theory of stimulated Brillouin backscattering)," Kvantovaya Elektron. 7, 973–982 (1980) [Sov. J. Quantum Electron. 10, 555–560 (1980)].
  10. G. G. Kochemasov and V. D. Nikolaev, "Investigation of the spatial characteristics of Stokes radiation in stimulated scatteringunder saturation conditions," Kvantovaya Elektron. 6, 1960–1965 (1979) [Sov. J. Quantum Electron. 9, 1155–1157 (1979)].
  11. R. H. Lehmberg, "Numerical study of phase conjugation in stimulated backscatter with pump depletion," Opt. Commun. 43, 369–374 (1982).
  12. B. Ya. Zel'dovich, V. I. Popovichev, V. V. Ragul'skii, and F. S. Faizullov, "Connection between the wave fronts of the reflected and exciting light in stimulated Mandel'shtam–Brillouin scattering," Pis'ma Zh. Eksp. Teor. Fiz. 15, 160–164 (1972) [JETP Lett. 15, 109–112 (1972)].
  13. O. Yu. Nosach, V. I. Popovichev, V. V. Ragul'skii, and F. S. Faizullov, "Cancellation of phase distortions in an amplifyingmedium with a Brillouin mirror," Zh. Eksp. Teor. Fiz. Pis'ma Red. 16, 617–621 (1972) [Sov. Phys. JETP Lett. 16, 435–438 (1972)].
  14. V. N. Blashchuk, B. Ya. Zel'dovich, N. A. Melnikov, N. F. Pilipetskii,V. I. Popovichev, and V. V. Ragul'skii, "Wavefront inversion in stimulated scattering of focused light beams," Pis'ma Zh. Eksp. Teor. Fiz. 3, 211–215 (1977) [Sov. Tech. Phys. Lett. 3, 83–85 (1977)].
  15. V. Wang and C. R. Guiliano, "Correction of phase aberrations via stimulated Brillouin scattering," Opt. Lett. 2, 4–6 (1978).
  16. C. R. Guiliano, R. W. Hellwarth, R. K. Jain, R. C. Lind, T. R. O'Meara, S. M. Wandzura, and V. Wang, "Correction of phase distortion by nonlinear optical techniques" (Hughes Research Laboratories Interim Tech. Rep. for period 15 July 1977–30 September 1978 (March 1979).
  17. N. G. Basov, V. F. Efimkov, I. G. Zubarev, A. V. Kotov, A. B. Mironov, S. I. Mikhailov, and M. G. Smirnov, "Influence of certain radiation parameters on wavefront reversal of a pump wavein a Brillouin mirror," Kvantovaya Elektron, 6, 765–771 (1979) [Sov. J. Quantum Electron. 9, 455–458 (1979)].
  18. R. Mays, Jr., and R. J. Lysiak, "Phase conjugated wavefronts by stimulated Brillouin and Raman scattering," Opt. Commun. 31, 89–92 (1979).
  19. R. Mays, Jr., and R. J. Lysiak," Observations of wavefront reproduction by stimulated Brillouin and Raman scattering as a function of pump power and waveguide dimensions," Opt. Commun. 32, 334–338 (1980).
  20. N. F. Pilipetskii, V. I. Popovichev, and V. V. Ragul'skii, "Comparison of the amplification coefficients of conjugate and nonconjugate waves in stimulated light scattering," Opt. Commun. 40, 73–76 (1981).
  21. M. C. Gower and R. G. Caro, "KrF laser with a phase-conjugate Brillouin mirror," Opt. Lett. 7, 162–164 (1982).
  22. V. I. Bespalov, A. A. Betin, and G. A. Pasmanik, "Reconstruction effects in stimulated scattering," Pis'ma Zh. Eksp. Teor. Fiz. 3, 215–220 (1977) [Sov. Tech. Phys. Lett. 3, 85–87 (1977)].
  23. A. I. Sokolovskyaya, G. L. Blekhovskikh, and A. D. Kudryavtseva, "Light beam wavefront reconstruction and real volume image reconstruction of the object in stimulated Raman scattering," Opt. Commun. 24, 74–76 (1978).
  24. M. Slatkine, I. J. Bigio, B. J. Feldman, and R. A. Fisher, "Efficient phase conjugation of an ultraviolet XeF laser beam by stimulated Brillouin scattering," Opt. Lett. 7, 108–110 (1982).
  25. R. H. Lehmberg and K. A. Holder, "Numerical study of optical ray retracing in laser-plasma backscatter," Phys. Rev. 22, 2156–2170 (1980).
  26. J. A. Fleck, Jr., J. R. Morris, and M. D. Feit, "Time dependent propagation of high energy laser beams through the atmosphere," Appl. Phys. 10, 129–139 (1976); 14, 99–115 (1977).

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