Abstract

Analytical expressions for Gaussian-beam Z-scan and eclipsing Z-scan signals are obtained in a unified format in the case of third-order optical nonlinearities. Considering optically thin media in the presence of both nonlinear refraction and nonlinear absorption, the Gaussian decomposition method is applied to express the normalized transmittance through an aperture or a disk in terms of a sum of heterodyne and homodyne contributions. The expressions presented are also valid for arbitrary circularly symmetric real ABCD post-sample optical systems.

© 2020 Optical Society of America

Analytic solutions to closed and eclipsing aperture Z-scan power transmission

Esa Jaatinen, Dinithi Namarathne, and Robert Donaldson
J. Opt. Soc. Am. B 39(4) 1130-1140 (2022)

Theory of Gaussian beam Z scan with simultaneous third- and fifth-order nonlinear refraction based on a Gaussian decomposition method

Bing Gu, Jing Chen, Ya-Xian Fan, Jianping Ding, and Hui-Tian Wang
J. Opt. Soc. Am. B 22(12) 2651-2659 (2005)

Z-scan technique for characterizing third-order optical nonlinearity by use of quasi-one-dimensional slit beams

Bing Gu, Jun Yan, Qin Wang, Jing-Liang He, and Hui-Tian Wang
J. Opt. Soc. Am. B 21(5) 968-972 (2004)

Analytical expression for femtosecond-pulsed Z scans on instantaneous nonlinearity

Bing Gu, Wei Ji, and Xiao-Qin Huang
Appl. Opt. 47(9) 1187-1192 (2008)

Analytic solutions to Z-scan characteristics of thick media with nonlinear refraction and nonlinear absorption

Wei-Ping Zang, Jian-Guo Tian, Zhi-Bo Liu, Wen-Yuan Zhou, Feng Song, and Chun-Ping Zhang
J. Opt. Soc. Am. B 21(1) 63-66 (2004)