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A sphere queue model is introduced to calculate Mueller matrices of turbid media. Combined with the single scattering approximation, the backscattering Mueller matrices of turbid media can be computed rapidly by Mie theory. The numerical results agree with the azimuthal dependences of backscattering Mueller matrices pattes from turbid media, which indicates that the major contribution to the Mueller matrices pattes comes from the single scattering of the sphere queue, and the multiple scattering considered as a high-order correction does not change the pattes. The numerical analysis reveals that the contrast of Mueller matrices pattes will decrease with increase of the concentration of media and the distance from the incident point.