A theory of Fresnel images is presented. Only the Fresnel images of plane periodic objects viewed in monochromatic light are considered. The theory is in agreement with the experimental and computer research available in the literature. Photographs of Fresnel images of gratings are shown to verify certain aspects of the theory.
JOHN T. WINTHROP and C. R. WORTHINGTON, "Theory of Fresnel Images. I. Plane Periodic Objects in Monochromatic Light," J. Opt. Soc. Am. 55, 373-380 (1965)