Goos–Hänchen and Imbert–Fedorov shifts for electromagnetic multi-Gaussian Schell-model beams

We consider the Goos–Hänchen and Imbert–Fedorov shifts arising from the reflection and transmission of partially coherent, partially polarized beams. For the specific case of an electromagnetic multi-Gaussian Schell-model source, compact expressions are obtained for the spatial and angular versions of the beam shifts, and the influence of the coherence and polarization of such a beam on these shifts is then investigated. It is found that the angular part of these shifts can be significantly enhanced or suppressed by the correlation structure and coherence width of the incident beam. In addition, the state and degree of polarization are not crucial for GH shifts. Both GH effects can be observed even in the completely unpolarized case. However, the IF shifts are more affected by the presence of the unpolarized part of the source.