Lens design for optical fourier transform systems

Applied Optics
K von Bieren

Abstract

In coherent optical filtering systems, the paraxial description of the imaging process represents the basis for the functional representation of the optical filter. With this approximation, the light amplitude in the secondary focal plane of an aberration-free lens appears as the Fourier transform of the light amplitude in the primary focal plane, as long as the field angles of all chief rays remain within the limits of Gaussian optics. The introduction of Abbe's sine condition into the chief ray path allows the paraxial restriction to be dropped, and the Fourier transform relationship becomes valid for large as well as small field angles. The resulting Fourier transform lens designs are remarkably different from conventional imaging systems.

Citations

Feb 20, 2009·Applied Optics·Carol López-QuesadaEstela Martín-Badosa
Feb 13, 2004·Applied Optics·Julio Pérez-TudelaArtur Carnicer
Jun 1, 1991·Applied Optics·D A Buralli, G M Morris
Sep 15, 1989·Applied Optics·D A Buralli, G M Morris
Mar 1, 1979·Applied Optics·J R Fienup, C D Leonard
Sep 15, 1978·Applied Optics·D Casasent, T Luu
Jun 1, 1978·Applied Optics·D Casasent, T Luu
Oct 24, 2017·Scientific Reports·Alexander J MacfadenTimothy D Wilkinson

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