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Optics Letters

Optics Letters


  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 17 — Sep. 1, 2006
  • pp: 2589–2591

Analytical solutions for the electromagnetic fields of tightly focused laser beams of arbitrary pulse length

Scott M. Sepke and Donald P. Umstadter  »View Author Affiliations

Optics Letters, Vol. 31, Issue 17, pp. 2589-2591 (2006)

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The analytical solution for a monochromatic focused laser beam was recently published [ Opt. Lett. 31, 1447 (2006) ]. The effect of introducing bandwidth by including a finite-length temporal pulse envelope is included exactly. This is done formally first in the frequency domain for an arbitrary pulse shape, and the specific case of a cosine-squared envelope is then solved analytically for all pulse lengths, thereby decreasing the computation time by 2 orders of magnitude. The inclusion of longer wavelengths reduces the fraction of laser energy in the focus from 86.5% to 83.5% for a 5 fs Ti:sapphire laser and 72.7% in a single-cycle pulse.

© 2006 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(140.7090) Lasers and laser optics : Ultrafast lasers
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Lasers and Laser Optics

Original Manuscript: May 10, 2006
Revised Manuscript: June 2, 2006
Manuscript Accepted: June 12, 2006
Published: August 9, 2006

Scott M. Sepke and Donald P. Umstadter, "Analytical solutions for the electromagnetic fields of tightly focused laser beams of arbitrary pulse length," Opt. Lett. 31, 2589-2591 (2006)

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