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Aanlysis of Gaussuan Duct can be made from the theory of
Gaussian Aperture. We describe a thin Gaussuan Duct as a
complex ABCD matrix and simulate the Z-scan experiment witch is
a method of measuring the nonlinear refraction index of optic
media. If one divides theoptic media into thin sticks can be
seen as a series of thin Gaussian Ducts.One can use the
complex ABCD matrix to describe Z-scan characteristics by
iteration. This method was tested by using ZnSe as a sample
under the same Z-scan experimental environment of Z-scan in
1990.we can obtain wave front phase shift about λ/360. It is
better than the result of λ/300 obtained in1990. If we use cs2
thick sampleas in 1991,we obtained the standerddeviation of
2.8% with experimental data.Thus,the method of ABCD matrix
transformation to deal with Z-scan has better agreements and
freedom than wave optics method propoded by M.Shiek-bahae.
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