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

Author(s)
Wong, Liang Jie; Kaertner, Franz X.; Johnson, Steven G.
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Alternative title
Improved beam waist formula for ultrashort, tightly focused linearly, radially, and azimuthally polarized laser pulses in free space
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Abstract
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.
Date issued
2014-02
URI
http://hdl.handle.net/1721.1/86106
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science; Massachusetts Institute of Technology. Department of Mathematics
Journal
Optics Letters
Publisher
Optical Society of America
Citation
Wong, Liang Jie, Franz X. Kaertner, and Steven G. Johnson. “Improved Beam Waist Formula for Ultrashort, Tightly Focused Linearly, Radially, and Azimuthally Polarized Laser Pulses in Free Space.” Optics Letters 39, no. 5 (March 1, 2014): 1258.
Version: Author's final manuscript
ISSN
0146-9592
1539-4794
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