Analytical expressions for the on-axis normalized transmittance and total transmittance z-scan of thick nonlocal nonlinear media illuminated by a Gaussian beam are obtained in this paper. The corresponding thin media transmittance expressions and the distributed lens method are used together with the assumption that the nonlocal media exhibits weak nonlinear absorption and refraction in order to obtain the formulas. The obtained expressions enable the consideration of different degrees of nonlocality and the reproduction of the results reported for local media.

中文翻译：

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弱厚非局部非线性介质的 Z 扫描解析表达式

本文得到了高斯光束照射的厚非局部非线性介质的轴上归一化透射率和总透射率z扫描的解析表达式。将相应的薄介质透射率表达式和分布式透镜方法结合使用，并假设非局部介质表现出弱非线性吸收和折射，以获得公式。所获得的表达式能够考虑不同程度的非本地性以及为本地媒体报道的结果的再现。