Using a Gaussian decomposition method and a distributed lens model, we have analyzed the Z-scan measurements of thick optical nonlinear media with nonlinear refraction and nonlinear absorption. With the introduction of correction functions that include saturation of nonlinear refraction and coupling between nonlinear refraction and nonlinear absorption, analytic solutions to closed-aperture and open-aperture Z-scan characteristics were obtained. Detailed comparisons of the analytic solutions with numerical solutions were made, and the two kinds of solution coincided well, no matter how much nonlinear refraction or nonlinear absorption there was.
© 2004 Optical Society of America
(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
Wei-Ping Zang, Jian-Guo Tian, Zhi-Bo Liu, Wen-Yuan Zhou, Feng Song, and Chun-Ping Zhang, "Analytic solutions to Z-scan characteristics of thick media with nonlinear refraction and nonlinear absorption," J. Opt. Soc. Am. B 21, 63-66 (2004)