Expression of Energy and Lasing in Generalized Special Relativity

Abstract

Laser technology recently becomes one of the widespread technology in many applications. This attracts attention to generation of laser and the mechanisms affecting this generation. One of the recent developments in lasing is the so-called free-electron laser (FEL) which is based on special relativity (SR). FEL shows that lasing intensity is affected by magnetic fields. However, the theoretical framework of this effect is complex and cannot explain the effect of the magnetic fields on lasers produced by materials. These setbacks motivates us to search for a new model based on SR to account for these theoretical defects. In this work, generalized special relativistic mass expression is derived by using the momentum conservation law. Moreover, a new energy conservation law is also obtained. Within this generalized special relativistic framework, the effect of magnetic fields was found theoretically. These theoretical relations agree with the empirical ones for plasma, discharge gas and semiconductor lasers.