Polarized radiative transfer equation in some curvilinear coordinate systems

- The general method to derive the differential operator of polarized RTE is applied.
- Clear expressions in several orthogonal curvilinear coordinate systems are obtained.
- Smooth transitions between equations in different coordinate systems are ensured.

The differential operator for polarized radiative transfer equation in homogeneous space obeying Euclidean geometry is explicitly written down for several orthogonal curvilinear coordinate systems of astrophysical interest. The medium is assumed to be statistically homogeneously filled with polydisperse particles, and birefringence in the effective medium is assumed to be negligible.