title: Flatland optics. III. Achromatic diffraction.
abstract: In the previous two sections of "Flatland optics" [J. Opt. Soc. Am. A 17, 1755 (2000); 18, 1056 (2001)] we described the basic principles of two-dimensional (2D) optics and showed that a wavelength lambda in three-dimensional (3D) space (x, y, z) may appear in Flatland (x, z) as a wave with another wavelength Lambda=lambda/cos alpha. The tilt angle alpha can be modified by a 3D-Spaceland individual, who then is able to influence the 2D optics in a way that must appear to be magical to 2D-Flatland individuals-in the spirit of E. A. Abbott's science fiction story of 1884 [Flatland, a Romance of Many Dimensions, 6th ed. (Dover, New York, 1952)]. Here we show how the light from a white source can be perceived in Flatland as perfectly monochromatic, so diffraction with white light will be free of color blurring and the contrast of interference fringes can be 100%. The basic considerations for perfectly achromatic diffraction are presented, along with experimental illustration of Talbot self-imaging performed with broadband illumination.
authors.affiliation: Department of Complex Systems, Weizmann Institute of Science, Rehovot, Israel.
authors.forename: A W
authors.initials: AW
authors.lastname: Lohmann
authors.forename: A
authors.initials: A
authors.lastname: Pe'er
authors.forename: D
authors.initials: D
authors.lastname: Wang
authors.forename: A A
authors.initials: AA
authors.lastname: Friesem