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Title: Complex source beam: A tool to describe highly focused vector beams analytically

Abstract

The scalar-complex-source model is used to develop an accurate description of highly focused radially, azimuthally, linearly, and circularly polarized monochromatic vector beams. We investigate the power and full beam widths at half maximum of vigorous Maxwell equation solutions. The analytical expressions are employed to compare the vector complex source beams with the real beams produced by various high-numerical-aperture (NA) focusing systems. We find a parameter set for which the spatial extents of the analytical beams are the same as those of experimentally realized ones. We ensure the same shape of the considered beams by investigating an overlap of the complex source beams with high-NA beams. We demonstrate that the analytical expressions are good approximations for realistic highly focused beams.

Authors:
 [1];  [2]
  1. Max Planck Institute for the Science of Light, Guenther-Scharowsky-Str. 1, Bau 24, D-91058 Erlangen, Germany. (Germany)
  2. Institute of Optics, Information, and Photonics, University Erlangen-Nuremberg, Staudtstrasse 7, D-91058, Erlangen (Germany)
Publication Date:
OSTI Identifier:
21528980
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.82.063820; (c) 2010 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 43 PARTICLE ACCELERATORS; ANALYTIC FUNCTIONS; APPROXIMATIONS; BEAM PROFILES; BEAMS; FOCUSING; MATHEMATICAL SOLUTIONS; MAXWELL EQUATIONS; MONOCHROMATIC RADIATION; SCALARS; VECTORS; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELECTROMAGNETIC RADIATION; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; RADIATIONS; TENSORS

Citation Formats

Orlov, S, Institute of Optics, Information, and Photonics, University Erlangen-Nuremberg, Staudtstrasse 7, D-91058, Erlangen, and Peschel, U. Complex source beam: A tool to describe highly focused vector beams analytically. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.063820.
Orlov, S, Institute of Optics, Information, and Photonics, University Erlangen-Nuremberg, Staudtstrasse 7, D-91058, Erlangen, & Peschel, U. Complex source beam: A tool to describe highly focused vector beams analytically. United States. https://doi.org/10.1103/PHYSREVA.82.063820
Orlov, S, Institute of Optics, Information, and Photonics, University Erlangen-Nuremberg, Staudtstrasse 7, D-91058, Erlangen, and Peschel, U. 2010. "Complex source beam: A tool to describe highly focused vector beams analytically". United States. https://doi.org/10.1103/PHYSREVA.82.063820.
@article{osti_21528980,
title = {Complex source beam: A tool to describe highly focused vector beams analytically},
author = {Orlov, S and Institute of Optics, Information, and Photonics, University Erlangen-Nuremberg, Staudtstrasse 7, D-91058, Erlangen and Peschel, U},
abstractNote = {The scalar-complex-source model is used to develop an accurate description of highly focused radially, azimuthally, linearly, and circularly polarized monochromatic vector beams. We investigate the power and full beam widths at half maximum of vigorous Maxwell equation solutions. The analytical expressions are employed to compare the vector complex source beams with the real beams produced by various high-numerical-aperture (NA) focusing systems. We find a parameter set for which the spatial extents of the analytical beams are the same as those of experimentally realized ones. We ensure the same shape of the considered beams by investigating an overlap of the complex source beams with high-NA beams. We demonstrate that the analytical expressions are good approximations for realistic highly focused beams.},
doi = {10.1103/PHYSREVA.82.063820},
url = {https://www.osti.gov/biblio/21528980}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 82,
place = {United States},
year = {Wed Dec 15 00:00:00 EST 2010},
month = {Wed Dec 15 00:00:00 EST 2010}
}