The generalized optical transfer function and the spectral correlation function are investigated for nonparaxial two-dimensional wave fields. The angle-impact marginal of the four-dimensional Wigner function is derived directly. For focused wave fields of semiangle greater than 90°, the spectral correlation function exhibits overlapping and interference. For focused wave fields for which the semiangle is known to be less than 180°, the magnitude and phase can be recovered directly from knowledge of the intensity in the focal region.
© 2001 Optical Society of America
Original Manuscript: November 30, 2000
Revised Manuscript: April 9, 2001
Manuscript Accepted: April 11, 2001
Published: October 1, 2001
Colin J. R. Sheppard and Kieran G. Larkin, "Wigner function for nonparaxial wave fields," J. Opt. Soc. Am. A 18, 2486-2490 (2001)