Date of this Version
Vikartofsky, A. F. Starace, and L.-W. Pi, “Perturbative Representation of Ultrashort Nonparaxial Elegant Laguerre-Gaussian Fields,” Phys. Rev. A 98, 043820 (2018).
An analytical method for calculating the electromagnetic fields of a nonparaxial elegant Laguerre-Gaussian (LG) vortex beam is presented for arbitrary pulse duration, spot size, and LG mode. This perturbative approach provides a numerically tractable model for the calculation of arbitrarily high radial and azimuthal LG modes in the nonparaxial regime, without requiring integral representations of the fields. A key feature of this perturbative model is its use of a Poisson-like frequency spectrum, which allows for the proper description of pulses of arbitrarily short duration. This model is thus appropriate for simulating laser-matter interactions, including those involving short laser pulses.