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Applied Optics

Applied Optics


  • Vol. 43, Iss. 22 — Aug. 1, 2004
  • pp: 4339–4344

Temporal filtering by double diffraction

Jürgen Jahns and Adolf W. Lohmann  »View Author Affiliations

Applied Optics, Vol. 43, Issue 22, pp. 4339-4344 (2004)

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We present a theoretical analysis of the temporal behavior of double-diffraction setups. It applies, in particular, to Talbot and Montgomery interferometers, whose operation is based on the self-imaging effect. The use of both types of interferometer as temporal filters for optical and terahertz applications was recently suggested. We show that double-diffraction setups can be modeled as communications channels with dispersive behavior caused by diffraction. We develop mathematical expressions for the phase delay, the group velocity, and the group-velocity dispersion for both quasi-monochromatic and polychromatic case. Based on these results, the temporal impulse response of a double-diffraction setup is derived. Finally, a general description of its practical implementation are presented.

© 2004 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects

Original Manuscript: November 11, 2003
Revised Manuscript: May 6, 2004
Published: August 1, 2004

Jürgen Jahns and Adolf W. Lohmann, "Temporal filtering by double diffraction," Appl. Opt. 43, 4339-4344 (2004)

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