Analysis of equations arising in gyrotron theory

Abstract

The gyrotron is a microwave source whose operation is based on the stimulated cyclotron radiation of electrons oscillating in a static magnetic field. Powerful gyrotrons can be used to heat nuclear fusion plasma. In addition, they have found a wide utility in plasma diagnostics, plasma chemistry, radars, extra-high-resolution spectroscopy, high-temperature processing of materials, medicine, etc. However, the main application of gyrotrons is in electron cyclotron resonance heating in tokamaks and stellarators. Equations describing gyrotron operation are ordinary differential equations and Schrödinger type partial differential equations. The present paper provides a survey of the analytical and numerical results concerning these equations obtained by our group in the last decade.

The Gyrotron Startup Scenario in the Single Mode Time Dependent Approach

“…Unwanted oscillations in the GUN area are especially studied in high power gyrotrons [3]. The literature proposes other kinds of boundary condition for the radiation of the Fourier components of the RF field of Robin's type, which are discussed in [2]. In this work we use the reflection-less boundary condition.…”

“…Gyrotron theory and equations have been well-known since the 80s [7], as well as in more recent times [1,2]. There are papers presenting the results of calculations [11,15].…”