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A Novel Deduction of Stokes Parameters Based on 2-ordered Basis Matrices

Four two-ordered basis matrices were introduced to deduct Stokes parameter representing electromagnetic wave polarization. Two of them have algebra features similar to unity and imaginary of complex number, so an exponential function was defined which can easily express some matrix operation such as coordination rotation in 2-dimension. The other 2 basis matrices were also incorporated to deduce the Stokes parameters. The four matrices have some fatigue algebra structure which was incorporated in deduction. The coordinate transformation was converted to some matrix problems and we get a more concise result.