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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

  • Editor: Franco Gori
  • Vol. 28, Iss. 10 — Oct. 1, 2011
  • pp: 2176–2186

A bound for the range of a narrow light beam in the near field

Piet W. Verbeek and Peter M. van den Berg  »View Author Affiliations


JOSA A, Vol. 28, Issue 10, pp. 2176-2186 (2011)
http://dx.doi.org/10.1364/JOSAA.28.002176


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Abstract

We investigate the possibility of light beams that are both narrow and long range with respect to the wavelength. On the basis of spectral electromagnetic field representations, we have studied the decay of the evanescent waves, and we have obtained some bounds for the width and range of a light beam in the near-field region. The range determines the spatial bound of the near field in the direction of propagation. For a number of representative examples we found that narrow beams have a short range. Our analysis is based on the uncertainty relations between spatial position and spatial frequency.

© 2011 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(260.0260) Physical optics : Physical optics
(260.2110) Physical optics : Electromagnetic optics
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Physical Optics

History
Original Manuscript: August 15, 2011
Manuscript Accepted: September 3, 2011
Published: September 29, 2011

Citation
Piet W. Verbeek and Peter M. van den Berg, "A bound for the range of a narrow light beam in the near field," J. Opt. Soc. Am. A 28, 2176-2186 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-10-2176

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