In order to accurately describe the Jones matrix of inhomogeneous field induced medium

elemental parameters in Jones matrix were studied. The physical parameters’ expression of Jones matrix based on the mathematical method of cascading micro-member Jones matrix was derived by means of unitary transformation. Theoretical research showed that the uneven distribution of the cross-section induction angle along the optical path was the reason for the multi-diagonal element of Jones matrix. The Jones matrix of the inhomogeneous field induced medium could be completely characterized by the physical parameters of medium phase delay

medium induction angle

and medium inhomogeneous angle. These physical parameters were the integrals of the corresponding section induced tensor components

among which the medium inhomogeneous angle could essentially characterize the sensing unevenness degree of the medium. The physical experiments of inhomogeneous magneto-optical mediums indicated that the off-diagonal elements of the Jones matrix on inhomogeneous field induced medium were complex numbers. The physical parameter simulation experiments of Jones matrix showed that the theoretical derivation of this paper had certain correctness. In general

the analytical expression of Jones matrix on inhomogeneous field induced medium is universal by considering not only all kinds of optical effects but also uniform and uneven conditions

where the Jones matrix on uniform medium is a special case.