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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 43, Iss. 22 — Aug. 1, 2004
  • pp: 4408–4414

Local one-dimensional approximation for fast simulation of Z-scan measurements with an arbitrary beam

Wei-Ping Zang, Jian-Guo Tian, Zhi-Bo Liu, Wen-Yuan Zhou, Feng Song, and Chun-Ping Zhang  »View Author Affiliations


Applied Optics, Vol. 43, Issue 22, pp. 4408-4414 (2004)
http://dx.doi.org/10.1364/AO.43.004408


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Abstract

We apply a finite-difference algorithm that combines the local one-dimensional approximation and the Crank-Nicolson algorithms to solve the three-dimensional nonlinear Schrödinger equation. This scheme is unconditionally stable and accurate to second order. Therefore it offers a simple and accurate means to study a two-dimensional Z scan for arbitrary beam shape and medium length. As an example, we analyze the characteristics of a Z scan by utilizing an elliptic Gaussian beam for a thick nonlinear medium. The effects of ellipticity and waist separation of the elliptic beam on the normalized transmittance of the closed-aperture and open-aperture Z scan are demonstrated.

© 2004 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(190.3270) Nonlinear optics : Kerr effect
(190.4180) Nonlinear optics : Multiphoton processes
(190.5940) Nonlinear optics : Self-action effects

History
Original Manuscript: November 18, 2003
Revised Manuscript: May 3, 2004
Published: August 1, 2004

Citation
Wei-Ping Zang, Jian-Guo Tian, Zhi-Bo Liu, Wen-Yuan Zhou, Feng Song, and Chun-Ping Zhang, "Local one-dimensional approximation for fast simulation of Z-scan measurements with an arbitrary beam," Appl. Opt. 43, 4408-4414 (2004)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-43-22-4408

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