Discontinuities in the Electromagnetic Fields of Vortex Beams in the Complex Source/Sink Model

Abstract

An analytical discontinuity is reported in what was thought to be the discontinuity-free exact nonparaxial vortex beam phasor obtained within the complex source/sink model. This discontinuity appears for all odd values of the orbital angular momentum mode. Such discontinuities in the phasor lead to nonphysical discontinuities in the real electromagnetic field components. We identify the source of the discontinuities, and provide graphical evidence of the discontinuous real electric fields for the first and third orbital angular momentum modes. A simple means of avoiding these discontinuities is presented.

10 pages, 4 figures

References in corpus (6)

• Attosecond XUV vortices from high-order harmonic generation
• Femtosecond 240-keV electron pulses from direct laser acceleration in a low-density gas
• Electron acceleration driven by ultrashort and nonparaxial radially polarized laser pulses
• All-optical three-dimensional electron pulse compression
• Scheme for the detection of mixing processes in vacuum
• MeV femtosecond electron pulses from direct-field acceleration in low density atomic gases