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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 9 — Sep. 1, 2001
  • pp: 2095–2097

Flatland optics. III. Achromatic diffraction

Adolf W. Lohmann, Avi Pe’er, Dayong Wang, and Asher A. Friesem  »View Author Affiliations


JOSA A, Vol. 18, Issue 9, pp. 2095-2097 (2001)
http://dx.doi.org/10.1364/JOSAA.18.002095


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Abstract

In the previous two sections of “Flatland optics” [J. Opt. Soc. Am. A 17, 1755 (2000); J. Opt. Soc. Am. A 18, 1056 (2001)] we described the basic principles of two-dimensional (2D) optics and showed that a wavelength λ in three-dimensional (3D) space (x, y, z) may appear in Flatland (x, z) 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 [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.

© 2001 Optical Society of America

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.1960) Diffraction and gratings : Diffraction theory

History
Original Manuscript: October 23, 2000
Revised Manuscript: February 14, 2001
Manuscript Accepted: February 14, 2001
Published: September 1, 2001

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-9-2095

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