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Cyclotron Radiation from Relativistic Particles with an Arbitrary Velocity Distribution

Ludwig Oster

Open publisher page 10 citations

Abstract

A formula is derived which represents the spectral and angular behavior of cyclotron radiation emitted by a relativistic particle moving in a constant magnetic field and having arbitrary velocity components parallel and perpendicular to the field. This formula is used to describe the emission of an assembly of particles having a Maxwellian distribution function. All broadening mechanisms of practical importance---collisions, relativistic mass variability and Doppler effects---are included and discussed.

About this research paper

What this paper is about

A formula is derived which represents the spectral and angular behavior of cyclotron radiation emitted by a relativistic particle moving in a constant magnetic field and having arbitrary velocity components parallel and perpendicular to the field. This formula is used to describe the emission of an assembly of particles having a Maxwellian distribution function. All broadening mechanisms of practical importance---collisions, relativistic mass variability and Doppler effects---are included and discussed.

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A formula is derived which represents the spectral and angular behavior of cyclotron radiation emitted by a relativistic particle moving in a constant magnetic field and having arbitrary velocity components parallel and perpendicular to the field. This formula is used to describe the emission of an assembly of particles having a Maxwellian distribution function. All broadening mechanisms of practical importance---collisions, relativistic mass variability and Doppler effects---are included and discussed.

Key concepts: Physics, Cyclotron, Cyclotron radiation, Relativistic particle, Distribution function, Magnetic field, Radiation, Doppler effect

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