Generalized Bessel beams with two indices

Abstract

We report on a new class of exact solutions of the scalar Helmholtz equation obtained by carefully engineering the form of the angular spectrum of a Bessel beam. We consider in particular the case in which the angular spectrum of such generalized beams has, in the paraxial zone, the same radial structure as Laguerre-Gaussian beams. We investigate the form of these new beams as well as their peculiar propagation properties.

References in corpus (3)

• Hypergeometric-Gaussian Modes
• Atomic ionization by twisted photons: Angular distribution of emitted electrons
• Propagation-invariant beams with quantum pendulum spectra: from Bessel beams to Gaussian beam-beams