基于Jones矢量的单粒子散射Mueller矩阵的数值计算

Numerical Calculation for Mueller Matrix of a Single Particle Based on Jones Vectors

摘要: 本文推导了基于Jones矢量的单粒子散射的数学表达式；根据Jones矢量与Stokes参量的内在联系，给出了由典型偏振态的Jones矢量出发，计算Mueller矩阵的具体步骤。通过数值模拟得出单粒子对称系统中：二维Mueller矩阵4行4列共16个子图关于对角线对称；m41，m42，m43，m14，m24，m34数值为零；二维Mueller矩阵中非零元素子图中仅5幅独立，其余可通过旋转变换得到。

Abstract: The formulae of a single particle’s scattering based on Jones vectors are derived. Then, the scat-tering Jones vectors of the single particle for the typical polarization states can be calculated. Fur-ther, the Stokes parameters can be obtained according to the scattering Jones vectors. The proper linear combination of the typical scattering Stokes parameters will provide the elements of Mueller matrix. The simulations for the single particle show that the subgraphs of the 2D Mueller matrix are symmetrical about the diagonal. The values for m41, m42, m43, m14, m24, m34 are all zeros. Only five subgraphs for the nonzero elements are independent and the others can be gained by rotation.