In the previous two sections of “Flatland optics” [J. Opt. Soc. Am. A <b>17</b>, 1755 (2000); <b>18</b>, 1056 (2001)] we described the basic principles of two-dimensional (2D) optics and showed that a wavelength λ in three-dimensional (3D) space (<i>x</i>, <i>y</i>, <i>z</i>) may appear in Flatland (<i>x</i>, <i>z</i>) as a wave with another wavelength Λ=λ/cos α. The tilt angle α 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 [<i>Flatland, a Romance of Many Dimensions</i>, 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.
© 2001 Optical Society of America
Adolf W. Lohmann, Avi Pe’er, Dayong Wang, and Asher A. Friesem, "Flatland optics. III. Achromatic diffraction," J. Opt. Soc. Am. A 18, 2095-2097 (2001)