Paradigmatic examples for testing models of optical light polarization by spheroidal dust

We present a general framework on how the polarization of radiation due to scattering, dichroic extinction, and birefringence aligned spheroidal dust grains can be implemented tested in 3D Monte Carlo radiative transfer (MCRT) codes. derive methodology for solving equation governing changes Stokes parameters dust-enshrouded objects. utilize M\"uller matrix, linear, circular cross sections as well electrons. An established MCRT code is used its capabilities are extended include formalism. compute state light by grains. The dependency optical depth albedo treated. implementation scattering both random walk steps directed (peel-off) described. observable objects determined through an angle binning method photon packages leaving model space inverse ray-tracing routine generation images. paradigmatic examples which we analytical solutions particles. These tests suited benchmark verification MCpol other such codes, allow quantify numerical precision reached. demonstrate that excellent agreement within 0.1% when compared solutions.