Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain
Abstract
An analytic expression for a polychromatic phasor representing an arbitrarily short elegant Laguerre-Gauss (eLG) laser pulse of any spot size and LG mode is presented in the time domain as a nonrecursive, closed-form perturbative expansion valid to any order of perturbative correction. Here, this phasor enables the calculation of the complex electromagnetic fields for such beams without requiring the evaluation of any Fourier integrals. It is thus straightforward to implement in analytical or numerical applications involving eLG pulses.
- Publication Date:
- Research Org.:
- Univ. of Nebraska, Lincoln, NE (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences, and Biosciences Division
- OSTI Identifier:
- 1595962
- Alternate Identifier(s):
- OSTI ID: 1515101
- Grant/Contract Number:
- FG02-96ER14646
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 99; Journal Issue: 5; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; Angular momentum of light; Lasers; Optics & lasers; Perturbative methods
Citation Formats
Vikartofsky, Andrew, Jahns, Ethan C., and Starace, Anthony F. Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain. United States: N. p., 2019.
Web. doi:10.1103/PhysRevA.99.053832.
Vikartofsky, Andrew, Jahns, Ethan C., & Starace, Anthony F. Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain. United States. https://doi.org/10.1103/PhysRevA.99.053832
Vikartofsky, Andrew, Jahns, Ethan C., and Starace, Anthony F. Wed .
"Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain". United States. https://doi.org/10.1103/PhysRevA.99.053832. https://www.osti.gov/servlets/purl/1595962.
@article{osti_1595962,
title = {Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain},
author = {Vikartofsky, Andrew and Jahns, Ethan C. and Starace, Anthony F.},
abstractNote = {An analytic expression for a polychromatic phasor representing an arbitrarily short elegant Laguerre-Gauss (eLG) laser pulse of any spot size and LG mode is presented in the time domain as a nonrecursive, closed-form perturbative expansion valid to any order of perturbative correction. Here, this phasor enables the calculation of the complex electromagnetic fields for such beams without requiring the evaluation of any Fourier integrals. It is thus straightforward to implement in analytical or numerical applications involving eLG pulses.},
doi = {10.1103/PhysRevA.99.053832},
journal = {Physical Review A},
number = 5,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}
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