Is there any software (e.g. ionospheric raytracing software) that produces the polarization of the downcoming waves in ionospheric radio wave propagation?
does Mie-theory help yout with the polarization problem? It can calculate the perpendicular and parallel polarization. What do you want to simulate? An optical system?
Herbert: He likely wants to calculate the polarization at reception (i.e. the integrated faraday rotation of the HF signal). This is largely dependant on the line integral of the electron density profile with the magnetic field vector dotted to the signal orientation. For some simple approximations on this, check out any papers discussing the theory of getting TEC from GPS signals (as an example, but not really applicable here due to different frequencies resulting in different necessary assumptions in simplification).
The Italian Geophysics and Volcanology Institute recently launched their IONORT software for HF ray tracing and signal simulation. I would consider that set of code the most sophisticated at this point in time, even including a recent extension to account for electron collisions in the D-region.
No matter what software you use, you'll need an accurate ionospheric electron density model for the simulation to provide any useful information, unless of course you're using the software as a forward model to invert electron density from commercial and civilian radio.
There are several papers available that document the software:
http://www.researchgate.net/publication/221662998_IONORT_A_Windows_software_tool_to_calculate_the_HF_ray_tracing_in_the_ionosphere (Their original manuscript).
http://www.sciencedirect.com/science/article/pii/S0273117714004967 (Documentation for the inclusion of D-region electron collision frequency)
Hi David: thanks for the references. I will look up all the documents to see if that brings what I need. It is not the combined Faraday effect that I am interested in, but the propagation of the ordinary and extraordinary wave (the characteristic waves) when reflected by the ionosphere (so below the MUF). My research concentrates on Near vertical Incidence Skywave (NVIS) propagation, which is radio communication using nearly vertically emitted waves that are reflected by the ionosphere. I can receive the characteristic waves separately, but want to calculate or simulate their polarization. In NVIS they are nearly LHCp and RHCP, but that depends on azimuth angle and elevation angle (and the vertical angle of the earth'magnetic field).
It depends on the orientation of the magnetic field with respect to the signal orientation. While the azimuth and elevation will give you an approximation, you can't ignore the effect of refraction on the signal orientation (polarization and signal propagation need to be calculated simultaneously at each iteration), which means the electron density distribution will also have an effect.
If I'm not mistaken, and please contact Michael Pezzopane and Carlo Scotto to confirm this, the IONORT software should be able to accomplish what you've mentioned. Michael and Carlo have traditionally used propagation and polarization simulations to facilitate automatic scaling of ionograms. They built the IONORT software based on those initial ionogram simulations.