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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 1 — Jan. 7, 2008
  • pp: 150–160

Lommel pulses: An analytic form for localized waves of the focus wave mode type with bandlimited spectrum

Colin J. R. Sheppard and Peeter Saari  »View Author Affiliations

Optics Express, Vol. 16, Issue 1, pp. 150-160 (2008)

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A criticism of the focus wave mode (FWM) solution for localized pulses is that it contains backward propagating components that are difficult to generate in many practical situations. We describe a form of FWM where the strength of the backward propagating components is identically zero and derive special cases where the field can be written in an analytic form. In particular, a free-space version of “backward light” pulse is considered, which moves in the opposite direction with respect to all its spectral constituents.

© 2008 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(260.2110) Physical optics : Electromagnetic optics
(320.0320) Ultrafast optics : Ultrafast optics
(320.5550) Ultrafast optics : Pulses

ToC Category:
Physical Optics

Original Manuscript: October 16, 2007
Revised Manuscript: December 9, 2007
Manuscript Accepted: December 12, 2007
Published: January 2, 2008

Colin J. R. Sheppard and Peeter Saari, "Lommel pulses: An analytic form for localized waves of the focus wave mode type with bandlimited spectrum," Opt. Express 16, 150-160 (2008)

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