Nonparaxial Tilted Waveobjects

Simple closed-form analytical expressions for tilted astigmatic wave beams and wavepackets that are exact solutions of the wave equation are constructed. They are obtained through two different but equivalent derivations, one is based on a complex shift in the Bateman-type solutions, the other employs their Lorentz transformation. Analytic expressions for the propagation invariants: energy, momentum and orbital angular momentum of tilted waveobjects with general astigmatism are presented.

Automated summary

In this paper, simple closed-form expressions for tilted astigmatic wave beams and wavepackets, which are exact solutions of the wave equation, are constructed. They are derived through two different but equivalent methods, one based on a complex shift in the Bateman-type solutions and the other using their Lorentz transformation. Analytic expressions for the propagation invariants: energy, momentum, and orbital angular momentum of tilted waveobjects with general astigmatism, are also presented.