By R. Miller
An severe charged particle beam may be characterised as an prepared charged particle circulate for which the results of beam self-fields are of significant significance in describing the evolution of the stream. study using such beams is now a speedily transforming into box with very important functions starting from the improvement of excessive strength resources of coherent radiation to inertial confinement fusion. significant courses have now been confirmed at a number of laboratories within the usa and nice Britain, in addition to within the USSR, Japan, and a number of other japanese and Western eu countries. furthermore, similar examine actions are being pursued on the graduate point at a number of universities within the US and overseas. whilst the writer first entered this box in 1973 there has been no unmarried reference textual content that supplied a huge survey of the real themes, but contained enough element 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 aimed toward the graduate pupil, or starting researcher; even if, it includes plentiful details to be a handy reference resource for the complex worker.
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Extra resources for An Introduction to the Physics of Intense Charged Particle Beams
4. The Macroscopic Fluid Description While the envelope equation developed in the preceding section provides a useful qualitative guide to the general behavior of a charged particle beam, a more detailed understanding of intense beam physics requires a more sophisticated theoretical treatment. Two such approaches are generally available 18 : (1) a plasma kinetics (microscopic) approach based on the Vlasov and Maxwell equations; and (2) a macroscopic fluid approach based on moments of the Vlasov and Maxwell equations.
The change in temperature of the cylindrical volume element dV = 'lTri dl is calculated from -aT = (7J e 'lTr. 13) Sec. S. Heat flow in a cylindrical field-emitting micropoint assuming only resistive heat generation and thermal conduction. p, k, 'IJ, and e denote the electrical resistivity, the thermal conductivity, the mass density, and the specific heat, respectively, of the whisker material. 39 L where 1/ is the mass density, e is the specific heat of the emitter material, and dQ / dt is the net heat flow in the volume element.
In subsequent chapters the fluid equations are used to analyze a wide variety of intense beam topics. Our general procedure will be to first develop important equilibrium configurations, and then to analyze the stability of the equilibrium to small-scale perturbations. 1. Derive Eq. 1). 2. Zo. 3. Calculate the voltage waveform produced by the Blumlein PFL assuming that a load impedance ZL appears at the output at time T after switch closure, where'T is the one-way wave transit time in the Blumlein.