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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 24 — Nov. 28, 2005
  • pp: 9788–9795

Energy transfer between incident laser and elastically backscattered waves in nonlinear absorption media

Richard L. Sutherland  »View Author Affiliations

Optics Express, Vol. 13, Issue 24, pp. 9788-9795 (2005)

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A model of energy transfer by nearly degenerate two-beam coupling in media exhibiting two-photon and excited state absorption is presented and discussed. The two beams include an incident laser, which has a nonlinear time dependent phase, and an elastically backscattered wave derived from the incident laser. Superposition of these two waves creates an index modulation, arising from a spatially modulated, two-photon-created excited-state population, which couples the forward and backward propagating waves. Reflectance of the stimulated wave and transmittance of the incident laser are computed, including the effects of two-photon absorption and excited state absorption as well as energy transfer between the two beams, and the relevance of the results to experimental measurements is discussed. The backscattered wave has a frequency that is unshifted with respect to that of the incident laser, and the small signal gain is proportional to the square of the incident laser intensity. The different effects due to multimode and chirped waves are also discussed.

© 2005 Optical Society of America

OCIS Codes
(190.4180) Nonlinear optics : Multiphoton processes
(190.5890) Nonlinear optics : Scattering, stimulated
(190.7070) Nonlinear optics : Two-wave mixing

ToC Category:
Research Papers

Original Manuscript: September 8, 2005
Revised Manuscript: September 7, 2005
Published: November 28, 2005

Richard Sutherland, "Energy transfer between incident laser and elastically backscattered waves in nonlinear absorption media," Opt. Express 13, 9788-9795 (2005)

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  1. Y. Silberberg and I. Bar Joseph, “Optical instabilities in a nonlinear Kerr medium,” J. Opt. Soc. Am. B 1, 662-670 (1984). [CrossRef]
  2. Y. Silberberg and I. Bar Joseph, “Instabilities, self-oscillation, and chaos in simple nonlinear optical interaction,” Phys. Rev. Lett. 48, 1541-1543 (1982). [CrossRef]
  3. P. Yeh, “Exact solution of a nonlinear model of two-wave mixing in Kerr media,” J. Opt. Soc. Am. B 3, 747-750 (1986). [CrossRef]
  4. R. Boyd, Nonlinear Optics (Academic Press, New York, 1992).
  5. G. S. He, T. –C. Lin, and P. N. Prasad, “Stimulated Rayleigh-Bragg scattering enhanced by two-photon excitation,” Opt. Express 12, 5952-5961 (2004), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-24-5952">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-24-5952</a>. [CrossRef] [PubMed]
  6. G. S. He, C. Lu, Q. Zheng, P. N. Prasad, P. Zerom, R. W. Boyd, and M. Samoc, “Stimulated Rayleigh-Bragg scattering in two-photon absorbing media,” Phys. Rev. A 71, 063810 (2005). [CrossRef]
  7. R. L. Sutherland, M. C. Brant, J. Heinrichs, J. E. Rogers, J. E. Slagle, D. G. McLean, and P. A. Fleitz, “Excited state characterization and effective three-photon absorption model of two-photon-induced excited state absorption in organic push-pull charge-transfer chromophores,” J. Opt. Soc. Am. B 22, 1939-1948 (2005). [CrossRef]
  8. J. E. Rogers, J. E. Slagle, D. G. McLean, R. L. Sutherland, B. Sankaran, R. Kannan, L. –S. Tan, and P. A. Fleitz, “Understanding the one-photon photophysical properties of a two-photon absorbing chromophore,” J. Phys. Chem. A 108, 5514-5520 (2004). [CrossRef]
  9. N. Tang and R. L. Sutherland, “Time-domain theory for pump-probe experiments with chirped pulses,” J. Opt. Soc. Am. B 14, 3412-3423 (1997). [CrossRef]
  10. A. Dogariu, T. Xia, D. J. Hagan, A. A. Said, E. W. Van Stryland, and N. Bloembergen, “Purely refractive transient energy transfer by stimulated Rayleigh-wing scattering, J. Opt. Soc. Am. B 14, 796-803 (1997). [CrossRef]
  11. A. Dogariu and D. J. Hagan, “Low frequency Raman gain measurements using chirped pulses, Opt. Express 1, 73-76 (1997), <a href="http://www.opticsexpress.org/abstract.cfm?URI=OPEX-1-3-73">http://www.opticsexpress.org/abstract.cfm?URI=OPEX-1-3-73</a>. [CrossRef] [PubMed]
  12. A. Yariv, Quantum Electronics, Third Ed. (John Wiley & Sons, New York, 1989).

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