The phase singularities of Gaussian beams propagating through an astigmatic aperture lens are studied.
Numerical calculation results are given to illustrate how the astigmatism affects the evolution behavior of
phase singularities. It is shown that with increasing astigmatic coefficient, the phase singularities shift not
only towards the aperture lens, but also towards the z axis. The reorganization process of phase singularities
of focused Gaussian beams in the presence of astigmatism with increasing truncation parameter is
illustrated by numerical examples.
An approximate analytical formula for the cross-spectral density matrix of the electric field of diffracted electromagnetic
Gaussian Schell-model (EGSM) beams is derived by using the method of the complex Gaussian function expansion. We
show both analytically and by numerical examples the aperture effects of spectra, coherence and polarization of
electromagnetic Gaussian Schell-model beams. It is shown that the larger the truncation parameter the spectral degree of
polarization becomes non-uniform on propagation, the spectral density shape is more tightly. The spectral degree of
coherence oscillates, and the larger the value of truncation parameter the spectral degree of coherence exhibits rapid