Abstract
With semi-quantum theory, we quantitatively deduce microwave photons radiated from the moving electrons in a magnetic field, as well as the interaction of transmitted microwave photons with the vortex electrons in the magnetic field. It shows that the Orbital Angular Momentum (OAM) transition between microwave photons and vortex electrons in the magnetic field occurs when the relativistic effect is considered. This work indicates an effective way to transfer OAM between microwave photons and vortex electrons theoretically. By the OAM microwave photon resonance absorption, different vortex electrons with radial and magnetic quantum numbers can be generated. Furthermore, vortex electrons can be detected to analyze the OAM carried by microwave photons.
Highlights
The AM can be divided into Spin Angular Momentum (SAM) and Orbital Angular Momentum (OAM)
The OAM of microwave photons can be transferred to vortex electrons, which reveals that the OAM of vortex electrons can be detected to analyze the OAM of microwave photons
For OAM microwave photons radiated by relativistic electrons, it consists of multiple frequencies and OAM
Summary
An electro-magnetic (EM) wave carries Angular Momentum (AM), which is considered to be a fundamental physical quantity based on both the theories of classical mechanics and quantum mechanics. The AM can be divided into Spin Angular Momentum (SAM) and Orbital Angular Momentum (OAM). In addition to OAM in the optical and radio frequencies, some methods for generating OAM in x-ray beams and electron beams were proposed, respectively. the generations of acoustic OAM and γ ray beams with OAM were proposed, respectively. The research studies on OAM of the infrared and extreme ultraviolet light were explored. A few matter-waves with OAM were studied. In addition to OAM in the optical and radio frequencies, some methods for generating OAM in x-ray beams and electron beams were proposed, respectively.. The AM and magnetic properties of the electron vortex can lead to potential applications in the optical vortex generation and detection.. The OAM of microwave photons can be transited to vortex electrons. The additional magnetic properties caused by OAM can be utilized to detect the OAM of microwave photons by the similar Stern–Gerlach experiment of vortex electron in a gradient magnetic field or OAM Hall effect in a uniform electric field.. Katoh et al showed that a relativistic free electron in the circular motion can radiate the EM wave with OAM. OAM radio waves and optical vortices have been generated experimentally by the gyrotron and relativistic vortex electron beams, respectively.. It is demonstrated that the EM wave with OAM can be emitted and absorbed by the relativistic electron in the magnetic field. In other words, the OAM of microwave photons can be transferred to vortex electrons, which reveals that the OAM of vortex electrons can be detected to analyze the OAM of microwave photons
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
