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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. 11, Iss. 12 — Dec. 1, 1994
  • pp: 3229–3234

Generalization of the concepts of focal length and f-number to space and time

Brian H. Kolner  »View Author Affiliations


JOSA A, Vol. 11, Issue 12, pp. 3229-3234 (1994)
http://dx.doi.org/10.1364/JOSAA.11.003229


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Abstract

One can exploit the duality between the parabolic equations of diffraction and dispersion to create the time-domain equivalent of a spatial imaging system. A key element in this temporal imaging system is the time lens (quadratic phase modulator) with attributes analogous to the focal length and the f-number of conventional space lenses. These temporal analogs are analyzed and compared with their spatial counterparts in a generalized framework, from which we conclude that chirp rate and fractional bandwidth are the defining quantities in both systems.

© 1994 Optical Society of America

History
Original Manuscript: March 23, 1994
Revised Manuscript: July 29, 1994
Manuscript Accepted: July 29, 1994
Published: December 1, 1994

Citation
Brian H. Kolner, "Generalization of the concepts of focal length and f-number to space and time," J. Opt. Soc. Am. A 11, 3229-3234 (1994)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-11-12-3229

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