Dynamical constants of structured photons with parabolic-cylindrical symmetry

Abstract

Electromagnetic modes with parabolic-cylindrical symmetry and their dynamical variables are studied both in the classical and quantum realm. As a result, a new dynamical constant for the electromagnetic field is identified and linked to the symmetry operator which supports it.

11 pages, 1 figure

References in corpus (1)

• Dynamical constants for electromagnetic fields with elliptic-cylindrical symmetry

Cited by in corpus (9)

• Nondiffracting Accelerating Waves: Weber waves and parabolic momentum
• A single structured light beam as an atomic cloud splitter
• Spatial light mode analogues of generalized quantum coherent states
• On demand generation of propagation invariant photons with orbital angular momentum
• Chaotic dynamics of thermal atoms in labyrinths created by optical lattices
• A curvilinear framework for vector light fields
• Electromagnetic field theory for invariant beams using scalar potentials
• Generalized optical theorem for propagation invariant beams
• Properties of the Poynting vector for invariant beams: negative propagation in Weber beams