On optical Weber waves and Weber-Gauss beams

Abstract

The normalization of energy divergent Weber waves and finite energy Weber-Gauss beams is reported. The well-known Bessel and Mathieu waves are used to derive the integral relations between circular, elliptic, and parabolic waves and to present the Bessel and Mathieu wave decomposition of the Weber waves. The efficiency to approximate a Weber-Gauss beam as a finite superposition of Bessel-Gauss beams is also given.

12 pages, 3 figures

References in corpus (3)

• Quantum Mechanical Properties of Bessel Beams
• Dynamical constants for electromagnetic fields with elliptic-cylindrical symmetry
• Dynamical constants of structured photons with parabolic-cylindrical symmetry

Cited by in corpus (2)

• Diffraction-free space-time beams
• Classification of propagation-invariant space-time wave packets in free space: Theory and experiments