Generalized Hanbury Brown–Twiss effect and Stokes scintillations in the focal plane of a lens

We explore the recently introduced concept of a generalized Hanbury Brown-Twiss (HBT) effect as applied to the focal plane of a lens that is used to focus a random electromagnetic beam. We find that the strength of the HBT correlation can be increased by the lens. Furthermore, the associated Stokes scintillations of the focused field display a surprisingly complicated spatial behavior. We illustrate, using the sum rules for scintillations and correlations, how focused fields can be tuned for different applications.