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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 20, Iss. 4 — Apr. 1, 2003
  • pp: 670–676

Z -scan analysis for near-Gaussian beams through Hermite–Gaussian decomposition

G. Tsigaridas, M. Fakis, I. Polyzos, M. Tsibouri, P. Persephonis, and V. Giannetas  »View Author Affiliations


JOSA B, Vol. 20, Issue 4, pp. 670-676 (2003)
http://dx.doi.org/10.1364/JOSAB.20.000670


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Abstract

Gaussian decomposition is used as a theoretical infrastructure with which Z-scan experiments are analyzed. This procedure is extended here to the interesting, from a practical point of view, case in which the laser beam used is not perfectly Gaussian. We follow a perturbative approach to obtain the far-field pattern of the beam after the beam passes through a nonlinear sample. The procedure is based on the decomposition of the electric field at the exit plane of the sample to a linear combination of Hermite–Gaussian functions. To a first-order approximation, each mode of the incident beam is decomposed to a linear combination of different-order modes that do not exceed the order of the original mode. Finally, the effects of the simultaneous presence of first and higher-order refractive nonlinearities or first-order refractive nonlinearity and nonlinear absorption are studied.

© 2003 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(140.3300) Lasers and laser optics : Laser beam shaping
(260.5950) Physical optics : Self-focusing
(350.5500) Other areas of optics : Propagation

Citation
G. Tsigaridas, M. Fakis, I. Polyzos, M. Tsibouri, P. Persephonis, and V. Giannetas, "Z -scan analysis for near-Gaussian beams through Hermite–Gaussian decomposition," J. Opt. Soc. Am. B 20, 670-676 (2003)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-20-4-670


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References

  1. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, “Sensitive measurement of optical nonlinearities using a single beam,” IEEE J. Quantum Electron. 26, 760-769 (1990).
  2. P. B. Chapple, J. Staromlynska, J. A. Hermann, T. J. McKay, and R. G. McDuff, “Single beam Z-scan:  measurement techniques and analysis,” J. Nonlinear Opt. Phys. Mater. 6, 251-293 (1997).
  3. W. Zhao and P. Palffy-Muhoray, “Z-scan using top-hat beams,” Appl. Phys. Lett. 63, 1613-1615 (1993).
  4. R. E. Bridges, G. L. Fischer, and R. W. Boyd, “Z-scan measurement technique for non-Gaussian beams and arbitrary sample thickness,” Opt. Lett. 20, 1821-1823 (1995).
  5. S. M. Mian, B. Taheri, and J. P. Wicksted, “Effects of beam ellipticity in Z-scan measurements,” J. Opt. Soc. Am. B 13, 856-863 (1996).
  6. B. K. Rhee, J. S. Byun, and E. W. Van Stryland, “Z scan using circularly symmetric beams,” J. Opt. Soc. Am. B 13, 2720-2723 (1996).
  7. P. Chen, D. A. Oulianov, I. V. Tomov, and P. M. Rentzepis, “Two-dimensional Z scan for arbitrary beam shape and sample thickness,” J. Appl. Phys. 85, 7043-7050 (1999).
  8. Y.-L. Huang and C.-K. Sun, “Z-scan measurement with an astigmatic Gaussian beam,” J. Opt. Soc. Am. B 17, 43-47 (2000).
  9. D. Weaire, B. S. Wherrett, D. A. B. Miller, and S. D. Smith, “Effect of low-power nonlinear refraction on laser-beam propagation in InSb,” Opt. Lett. 4, 331–333 (1979).
  10. A. E. Siegman, Lasers (University Science Books, Mill Valley, Calif., 1986).
  11. A. Yariv, Quantum Electronics, 3rd ed. (Wiley, New York, 1989).
  12. M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1972).

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