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Abstract 3-D distribution of 2-D Mie scattering phase function was given in the spherical coordinate frame with the linearly and circularly polarized incident light .By using the program of Monte Carlo simulation with the polarized light tranmissing through bubbles film, the 2-D distribution model of elements of backscattering mueller matrix and polarization of degree(DOP) were offered, the relationship between scattering coefficient together with the thickness of the bubbles film  is studied. The results show that:spatial distributions of DOP have the properties of azimuth selecting, polarization-maintaining characteristic of circularly polarized light is better than linearly polarized light; with the thickness and scattering coefficient of bubbles film increasing , DOP of linearly polarized light decreases, DOP of circularly polarized light first rapidly increases to a maximum then slowly decreases.

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Abstract 3-D distribution of 2-D Mie scattering phase function was given in the spherical coordinate frame with the linearly and circularly polarized incident light .By using the program of Monte Carlo simulation with the polarized light tranmissing through bubbles film, the 2-D distribution model of elements of backscattering mueller matrix and polarization of degree(DOP) were offered, the relationship between scattering coefficient together with the thickness of the bubbles film  is studied. The results show that:spatial distributions of DOP have the properties of azimuth selecting, polarization-maintaining characteristic of circularly polarized light is better than linearly polarized light; with the thickness and scattering coefficient of bubbles film increasing , DOP of linearly polarized light decreases, DOP of circularly polarized light first rapidly increases to a maximum then slowly decreases.
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