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Z-scan analysis of high-order nonlinear refraction effect induced by using elliptic Gaussian beam
Authors:Guo Shi-Fang and Tian Qiang
Affiliation:Department of Physics, Beijing Normal University, Beijing 100875, China
Abstract:The irradiance of an elliptic Gaussian beam that is high enough to excite high-order nonlinear refraction effect is used to calculate the normalized on-axis transmittance function in the z-scan technique by introducing complex beam parameters which make the calculation simpler. The transmittance formula is applied to the first-, first two-, and first three-order nonlinearities. Numerical evaluation shows that the symmetry no longer holds when using an elliptic Gaussian beam instead of a circular Gaussian beam. A distortion is observed in the central part of the curve, which decreases as ellipticity increases. Moreover, the variation of the normalized peak-valley difference decreases as ellipticity decreases.
Keywords:z-scan  elliptic Gaussian beam  complex beam parameter  high order
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