Research Papers in Physics and Astronomy

 

Date of this Version

2006

Citation

OPTICS LETTERS Vol. 31, No. 17 September 1, 2006

Comments

Copyright 2006 Used by permission

Abstract

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.

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