The Wigner distribution function is used to describe general properties of the irradiance distribution at the Fresnel diffraction planes of one-dimensional phase gratings. We report a remarkably simple, analytical expression for the irradiance distribution at one quarter of the Talbot length of any phase grating. As illustrative examples, we consider binary and triangular phase profiles.
© 1992 Optical Society of America
Original Manuscript: September 3, 1991
Revised Manuscript: May 1, 1992
Manuscript Accepted: May 6, 1992
Published: October 1, 1992
Victor Arrizón and J. Ojeda-Castañeda, "Irradiance at Fresnel planes of a phase grating," J. Opt. Soc. Am. A 9, 1801-1806 (1992)