Behavior of tiled-aperture arrays fed by vector partially coherent sources

This paper explores the far-zone behavior of partially coherent arrays. We derive an expression for the far-zone spectral density valid for any array composed of circular elements and fed by fields with Schell-model cross-spectral density functions. This expression is written as the sum of convolution integrals, making it easy to physically interpret. We discuss this expression at length and present examples. Lastly, we validate our analysis by comparing Monte Carlo averages from wave-optics simulations with theory. We conclude this paper with a brief summary of the results and potential uses of our work.