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.
