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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 8 — Aug. 1, 2014
  • pp: 1762–1765

Accelerating propagation properties of misplaced Hermite–Gaussian beams

Chaohong Huang and Helin Lu  »View Author Affiliations

JOSA A, Vol. 31, Issue 8, pp. 1762-1765 (2014)

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A new family of finite-energy accelerating beams was constructed through misplacing the Hermite polynomial and Gaussian window function. The closed-form solution of k-space spectra and paraxial propagation of these beams are derived from the Fourier transform and the scalar angle spectra integral. These beams have similar propagation properties to finite Airy beams and parabolic beams, but the accelerating trajectory is hyperbola rather than parabola. The beam family can be experimentally generated by exponentially truncating the high-order Hermite–Gaussian beams in the spatial domain.

© 2014 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(050.1960) Diffraction and gratings : Diffraction theory

ToC Category:
Fourier Optics and Signal Processing

Original Manuscript: May 1, 2014
Manuscript Accepted: June 12, 2014
Published: July 17, 2014

Chaohong Huang and Helin Lu, "Accelerating propagation properties of misplaced Hermite–Gaussian beams," J. Opt. Soc. Am. A 31, 1762-1765 (2014)

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