Analytical calculation of anode current in relativistic magnetron

Author

Andreev, Andrey D. ; Hendricks, Kyle J. ; Fuks, Mikhail I. ; Schamiloglu, Edl

Author_Institution

Directed Energy Directorate, Air Force Res. Lab., Kirtland AFB, NM, USA

fYear

2009

fDate

June 28 2009-July 2 2009

Firstpage

502

Lastpage

506

Abstract

An analytical expression for the anode current in a relativistic magnetron is derived. The anode current is described as the cathode-to-anode drift of the electron guiding centers in the crossed external dc and induced rf magnetic and electric fields. The drift of the electron guiding centers is analyzed in the frame of reference moving with the phase velocity of the induced rf electric field. The anode current determined by this drift is calculated under the assumption that the cathode of the relativistic magnetron operates in a space-charge-limited mode, where the external dc electric field at the cathode surface is zero.

Keywords

anodes; cathodes; magnetrons; space-charge-limited conduction; analytical calculation; anode current; crossed external dc electric field; crossed external dc magnetic field; electron guiding center cathode-to-anode drift; frame of reference; induced rf electric field; induced rf magnetic field; phase velocity; relativistic magnetron; space-charge-limited mode; Anodes; Cathodes; Electron mobility; Frequency; Impedance; Laboratories; Magnetic analysis; Magnetic fields; Permeability; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Pulsed Power Conference, 2009. PPC '09. IEEE

Conference_Location

Washington, DC

Print_ISBN

978-1-4244-4064-1

Electronic_ISBN

978-1-4244-4065-8

Type

conf

DOI

10.1109/PPC.2009.5386328

Filename

5386328