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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 6 — Mar. 24, 2014
  • pp: 7124–7132

Generation of nonparaxial accelerating fields through mirrors. I: Two dimensions

Miguel A. Alonso and Miguel A. Bandres  »View Author Affiliations


Optics Express, Vol. 22, Issue 6, pp. 7124-7132 (2014)
http://dx.doi.org/10.1364/OE.22.007124


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Abstract

Accelerating beams are wave packets that preserve their shape while propagating along curved trajectories. Recent constructions of nonparaxial accelerating beams cannot span more than a semicircle. Here, we present a ray based analysis for nonparaxial accelerating fields and pulses in two dimensions. We also develop a simple geometric procedure for finding mirror shapes that convert collimated fields or fields emanating from a point source into accelerating fields tracing circular caustics that extend well beyond a semicircle.

© 2014 Optical Society of America

OCIS Codes
(050.1970) Diffraction and gratings : Diffractive optics
(350.5500) Other areas of optics : Propagation
(070.3185) Fourier optics and signal processing : Invariant optical fields
(080.4035) Geometric optics : Mirror system design
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Physical Optics

History
Original Manuscript: January 22, 2014
Revised Manuscript: March 12, 2014
Manuscript Accepted: March 12, 2014
Published: March 19, 2014

Citation
Miguel A. Alonso and Miguel A. Bandres, "Generation of nonparaxial accelerating fields through mirrors. I: Two dimensions," Opt. Express 22, 7124-7132 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-6-7124


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References

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