By R. Miller
An severe charged particle beam could be characterised as an geared up charged particle circulation for which the consequences of beam self-fields are of significant significance in describing the evolution of the circulate. examine utilising such beams is now a swiftly starting to be box with vital purposes starting from the advance of excessive strength assets of coherent radiation to inertial confinement fusion. significant courses have now been demonstrated at numerous laboratories within the usa and nice Britain, in addition to within the USSR, Japan, and several other japanese and Western ecu international locations. additionally, comparable learn actions are being pursued on the graduate point at numerous universities within the US and overseas. while the writer first entered this box in 1973 there has been no unmarried reference textual content that supplied a vast survey of the real subject matters, but contained enough aspect to be of curiosity to the lively researcher. That state of affairs has persevered, and this e-book is an try to fill the void. As such, the textual content is geared toward the graduate scholar, or starting researcher; besides the fact that, it includes abundant details to be a handy reference resource for the complex worker.
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Additional info for An Introduction to the Physics of Intense Charged Particle Beams
38) into Eq. 43) 48 Chap. 44) may be solved by elementary differential equation methods. 45) while the integration of Eq. 46) In the parapotential model, it is not necessary that the electron flow patterns extend to the anode; however, since it may be shown that the beam current is maximized in this instance it will be assumed that the flow patterns do extend completely to the anode. 47) where Om denotes the angle of the (conical) cathode surface. Substituting these boundary conditions into Eq.
It is easily verified that the Green's function vanishes for all rand z on the boundaries, including the surface at infinity. Since p(r, z) is related to the potential $(r, z) through the equation of continuity, Eq. 56) is actually a complicated integral equation for the electrostatic potential. In order to make analytical progress, it is assumed, following Chen and Lovelace, that the diode is ultrarelativistic. In this case, the electrons rapidly acquire relativistic velocities and the thin cathode sheath region can be ignored.
The designs (a) and (b) somewhat resemble a magnetron gun,27 since the magnetic field of the external solenoid is approximately perpendicular to the electric field in the diode region. The third configuration, Fig. 9c, corresponds to a planar foilless diode which is designed to inject electrons approximately parallel to the uniform applied field. 9. Various foilless diode configurations: (a) Friedman diode, (b) smooth bore magnetron, and (c) planar foilless diode. Sec. 3 • Electron Flow in High-Power Diodes 51 Theoretical analyses of beam generation in foilless diodes have generally followed two separate approaches.