周波数空間におけるコヒーレンス・マトリックス

抄録

Wolf unified the separate theories of coherency and partial polarization into one theory by using elementary properties of stationary stochastic processes. Although he introduced the coher-ency matrix and, later on, Roman and he used the correlation tensors as a generalization of the coherence function, no systematic study of their properties in terms of matrix-forms was made. In this paper fundamental properties of the coherence function in frequency domain are introduced and discussed. A generalization of the coherency matrix using the correlation tensors is made for a non-plane wave. As a special case the generalized coherency matrix is then reduced in the case of a plane wave. Thus, generalized and extended coherency matrices in time domain are trans-ferred into frequency domain by using Fourier transform techniques, where they are directly related to the extended and usual Stokes parameters and, in the monochromatic case, to Jones' and Muel-ler's matrices. Discussion is conducted for several properties of these coherency matrices.