Analytic generalized description of a perturbative nonparaxial elegant Laguerre-Gaussian phasor for ultrashort pulses in the time domain

Authors

Andrew Vikartofsky, University of Nebraska - LincolnFollow
Ethan C. Jahns, University of Nebraska - LincolnFollow
Anthony F. Starace, University of Nebraska-LincolnFollow

Document Type

Article

Date of this Version

5-22-2019

Citation

PHYSICAL REVIEW A 99, 053832 (2019)

DOI: 10.1103/PhysRevA.99.053832

Comments

©2019 American Physical Society. Used by permission.

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. 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.