Polarization resolved radiation angular patterns of orientationally ordered nanorods

We employ the transfer matrix approach combined with the Green's function method to theoretically study polarization resolved far-field angular distributions of photoluminescence from quantum nanorods (NRs) embedded in an anisotropic polymer film. The emission and excitation properties of NRs are described by the emission and excitation anisotropy tensors. These tensors and the solution of the emission problem expressed in terms of the evolution operators are used to derive the orientationally averaged coherency matrix of the emitted wavefield. For the case of in-plane alignment and unpolarized excitation, we estimate the emission anisotropy parameter and compute the angular profiles for the photoluminescence polarization parameter such as the degree of linear polarization, the Stokes parameter $s_1$, the ellipticity and the polarization azimuth. We show that the alignment order parameter has a profound effect on the angular profiles.