We develop a phase-space representation (termed phase-space imager) suitable for analysis and design of imaging systems that use large illumination apertures (partially coherent illumination). The representation, developed from the transmission cross-coefficient model, falls in the general Cohen class of distributions and elegantly captures the bilinear nature of image formation in partially coherent systems. It uses only the requisite number of dimensions and leads to an efficient algorithm for calculating images. Computed partially coherent images of a double slit and a two-dimensional sinusoidal spoke are presented.
© 2010 Optical Society of America
Original Manuscript: August 28, 2009
Revised Manuscript: December 17, 2009
Manuscript Accepted: December 21, 2009
Published: January 26, 2010
Shalin B. Mehta and Colin J. R. Sheppard, "Phase-space representation of partially coherent imaging systems using the Cohen class distribution," Opt. Lett. 35, 348-350 (2010)