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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. 6, Iss. 9 — Sep. 1, 1989
  • pp: 1382–1387

Short pulses in the focal region

George C. Sherman  »View Author Affiliations


JOSA A, Vol. 6, Issue 9, pp. 1382-1387 (1989)
http://dx.doi.org/10.1364/JOSAA.6.001382


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Abstract

A solution is presented for the field produced when an infinitely short pulse is focused by an infinite-aperture system. In contrast to the results obtained in the standard theory of focusing of monochromatic waves, it has proved possible to evaluate the propagation integrals in terms of known functions and generalized functions. The result provides a useful expression for the field in the focal region of small-f-number systems. The field is singular in certain space–time regions because the incident pulse was taken to be infinitely short. The singularities can be removed for pulses of finite duration by convolving the field with the time variation of the incident pulse.

© 1989 Optical Society of America

History
Original Manuscript: December 23, 1988
Manuscript Accepted: May 5, 1989
Published: September 1, 1989

Citation
George C. Sherman, "Short pulses in the focal region," J. Opt. Soc. Am. A 6, 1382-1387 (1989)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-6-9-1382

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