Relativistic accelerating electromagnetic waves
Shahen Hacyan
TL;DR
This paper presents an exact solution to Maxwell's equations in Rindler coordinates, describing electromagnetic waves that maintain their shape under relativistic acceleration, and connects these solutions to Airy beams in the non-relativistic limit.
Contribution
It introduces a novel exact solution for accelerating electromagnetic waves in a relativistic framework, linking relativistic and non-relativistic wave phenomena.
Findings
Electromagnetic waves can be shaped to preserve their form under relativistic acceleration.
The solution explicitly relates relativistic accelerating waves to Airy beams in the non-relativistic limit.
The work extends understanding of wave behavior in accelerated frames.
Abstract
An exact solution of the Maxwell equations in Rindler coordinates is obtained. The electromagnetic field represents a wave preserving its shape in a relativistic uniformly accelerated frame. The relation with Airy beams is shown explicitly in the non-relativistic limit.
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