Spherical fields as nonparaxial accelerating waves

TL;DR

This paper introduces nonparaxial accelerating waves with semicircular propagation paths, derived from spherical fields using imaginary displacements, enabling shape-preserving propagation and pulse descriptions.

Contribution

It presents a novel method to generate nonparaxial accelerating waves with simple closed-form expressions based on spherical fields and imaginary displacements.

Findings

Waves propagate along semicircular trajectories while maintaining their shape.

Closed-form expressions for these waves and pulses are derived.

The approach simplifies the analysis of nonparaxial accelerating waves.

Abstract

We introduce nonparaxial spatially accelerating waves whose two-dimensional transverse profiles propagate along semicircular trajectories while approximately preserving their shape. We derive these waves by considering imaginary displacements on spherical fields, leading to simple closed-form expressions. The structure of these waves also allows the closed-form description of pulses.