Extreme electron acceleration with fixed radiation energy

TL;DR

This paper explores the theoretical scenario where an electron accelerates to near light speed, emitting finite radiation energy, and distinguishes between radiation power loss and kinetic power loss.

Contribution

It provides an analytic solution illustrating the difference between radiation power loss and kinetic power loss in extreme electron acceleration.

Findings

Electron can asymptotically reach light speed with finite radiation energy.

Analytic solution clarifies the distinction between radiation power loss and kinetic power loss.

Radiation emission behavior differs significantly in extreme acceleration scenarios.

Abstract

We examine the extreme situation of radiation from an electron that is asymptotically accelerated to the speed of light, resulting in finite emission energy. The analytic solution explicitly demonstrates the difference between radiation power loss and kinetic power loss (null).