We formulate the van Cittert–Zernike theorem for spatially incoherent partially polarized sources in terms of the traditional polarization (one-point) Stokes parameters and the coherence (two-point) Stokes parameters. This leads to a physically insightful connection between the source polarization and the field coherence. We show that the far-zone coherence is given by a Fourier relation of the source-plane polarization and apply the results to investigate the far-zone properties of a field emitted by an incoherent source limited by an annular aperture.
© 2013 Optical Society of America
Original Manuscript: April 23, 2013
Manuscript Accepted: May 20, 2013
Published: June 26, 2013
Jani Tervo, Tero Setälä, Jari Turunen, and Ari T. Friberg, "Van Cittert–Zernike theorem with Stokes parameters," Opt. Lett. 38, 2301-2303 (2013)