Abstract
The theory of wave propagation on electron beams focused by a finite magnetic field -though frequently treated in literature -is still unsatisfactory:
-
1)
On Brillouin beams waves with radial periodicity are thought to be physically nonexistent [l], [2] while experimental results show the existence of higher ranking waves of this type [3]. No attempt has been made to calculate the excitation of Brillouin beams by gridded gaps since this is impossible if waves with radial periodicity are excluded.
-
2)
The influence of the magnetic flux threading the cathode and thus the basic dynamical difference between vortical (cathode flux) and irrotational (no cathode flux) beams is not understood. It is unknown which modes carry the vortical part of the noise on an irrotational beam which is excited by initial thermal velocities at the cathode.
-
3)
Transverse waves propagating the center-of-gravity motion of the beam have not been shown to appear in the set of modes resulting from a general first order theory.
Preview
Unable to display preview. Download preview PDF.
References
W. W. RIGROD and J. R. PIERCE, Space-charge wave excitation in solit-cylindrical Brillouin beams, B.S.T.J. 38 (Jan.1959), 99–118
A.H.W. BECK Space-charge waves and slow electromagnetic waves, Pergamon Press, London, 1958
A. S. GILMOUR, G. C. DALMAN and L. P. EASTMAN, The current and velocity distributions in a ve-locity-modul at ed, Brillouin-focused electron beam, 4th International Congress on Microwave Tubes, 3–7 Sept. 1962, Scheveningen, Holland
W.W. RIGROD and J. A. LEWIS, Wave propagation along a magnetically-focused electron beamB.S.T.J. 33 (March 1954), 399–416
G.R BREWER, Some effects of magnetic field strength on space-charge-wave propagation, Proc. IRE 44 (July 1956), 896–903
W. W. RIGROD, Space-charge wave harmonics and
S.T.J. 38 (Jan. 1959) 119–140
G.R. BREWER Some charactcristics of a magnetically focused electron beam, J. Appl. Phys. 30 (July 1959), 1022–1038
O. BUNEMAN Electron dynamics, Proc. Symposium on Electronic Waveguides, Polytechnic Inst. Brooklyn, April 1958, p.134
A.W. TRIVELPIECE and R.W. GOULD Plasma waves in cylindrical plasma columns, J. Appl. Phys. 30 (Nov.1959), 1784–1793
T. WESSEL-BERG, A thick-beam analysis of transverse wave-p rop agat ion on Brillouin beams, 4th International Congress on Microwave Tubes 3–7 Sept. 1962, Scheveningen, Holland
P. PASCHKE The prop agation of p erturbat ions along magnetically focused electron beams, RCA-Rev. 20 (June 1959) 254r283
D.H. TREVENA On spac e-charge waves, J. Electronics and Control 6 (1959), No.l, 50–64
Author information
Authors and Affiliations
Copyright information
© 1963 N.V. Uitgeversmaatschappij Centrex
About this chapter
Cite this chapter
Pötzl, H. (1963). Wave types in vortical and in irrotational electron beams. In: Microwaves. Palgrave, London. https://doi.org/10.1007/978-1-349-00447-8_113
Download citation
DOI: https://doi.org/10.1007/978-1-349-00447-8_113
Publisher Name: Palgrave, London
Print ISBN: 978-1-349-00449-2
Online ISBN: 978-1-349-00447-8
eBook Packages: EngineeringEngineering (R0)