Cyclotron Autoresonance with TE and TM Guided Waves

TLDR: In this article, a unified first-principles approach is applied to the analysis of the interaction of gyrating electrons with electromagnetic waves with different characteristic impedance, and an approximate constant of motion is derived for the latter case from which the requirements for autoresonance can be satisfied easily in comparison to the TE modes.

Abstract: The electron cyclotron autoresonance is of both theoretical and practical interest for acceleration of charged particles and for generation of microwave radiation in various gyro-devices. In this paper a unified first-principles approach is applied to the analysis of the interaction of gyrating electrons with electromagnetic waves with different characteristic impedance. In contrast to the previous works that consider the underlying autoresonance integral only for the case of plane transverse waves and TE modes our analysis is applied also to TM modes. An approximate constant of motion is derived for the latter case from which it follows that the requirements for autoresonance can be satisfied easily in comparison to the TE modes. Some fundamental relations which follow from the analysis are discussed as well.