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Optics Letters

Optics Letters


  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 5 — Mar. 1, 2014
  • pp: 1258–1261

Improved beam waist formula for ultrashort, tightly focused linearly, radially, and azimuthally polarized laser pulses in free space

Liang Jie Wong, Franz X. Kärtner, and Steven G. Johnson  »View Author Affiliations

Optics Letters, Vol. 39, Issue 5, pp. 1258-1261 (2014)

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We derive an asymptotically accurate formula for the beam waist of ultrashort, tightly focused fundamental linearly polarized, radially polarized, and azimuthally polarized modes in free space. We compute the exact beam waist via numerical cubature to ascertain the accuracy with which our formula approximates the exact beam waist over a broad range of parameters of practical interest. Based on this, we describe a method of choosing parameters in the model given the beam waist and pulse duration of a laser pulse.

© 2014 Optical Society of America

OCIS Codes
(140.7090) Lasers and laser optics : Ultrafast lasers
(260.2110) Physical optics : Electromagnetic optics
(320.0320) Ultrafast optics : Ultrafast optics
(320.5550) Ultrafast optics : Pulses
(350.5500) Other areas of optics : Propagation
(350.7420) Other areas of optics : Waves

ToC Category:
Ultrafast Optics

Original Manuscript: December 2, 2013
Revised Manuscript: January 19, 2014
Manuscript Accepted: January 20, 2014
Published: February 25, 2014

Liang Jie Wong, Franz X. Kärtner, and Steven G. Johnson, "Improved beam waist formula for ultrashort, tightly focused linearly, radially, and azimuthally polarized laser pulses in free space," Opt. Lett. 39, 1258-1261 (2014)

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