By R. Miller

An excessive charged particle beam may be characterised as an equipped charged particle circulate for which the consequences of beam self-fields are of significant significance in describing the evolution of the stream. examine utilizing such beams is now a quickly transforming into box with vital functions starting from the improvement of excessive strength resources of coherent radiation to inertial confinement fusion. significant courses have now been demonstrated at a number of laboratories within the usa and nice Britain, in addition to within the USSR, Japan, and several other jap and Western ecu international locations. moreover, comparable examine 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 extensive survey of the $64000 themes, but contained enough aspect to be of curiosity to the lively researcher. That scenario has persevered, and this publication is an try to fill the void. As such, the textual content is aimed toward the graduate pupil, or starting researcher; besides the fact that, 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**

**Example text**

Solving Eq. 26) Restricting attention to a single particle at the edge of the beam, substitution of Eq. 26) into Eq. 27) In the following sections Eq. 27) will be applied to several cases of practical importance. Although these cases will be examined in great detail 11 Chap. 1 • Introduction in subsequent chapters, the envelope equation analysis will give a good qualitative understanding of the behavior of intense charged particle beams. 1. Solenoidal Field Transport in Vacuum Consider the case of an intense beam propagating in vacuum with constant axial velocity vo along a longitudinal magnetic field.

85XlO- 12 flm is the permittivity of free space (MKS units). The three contributions to the effective potential are (i) some constant value (- Wo) within the metal which is lower than the Fermi level, (ii) a contribution (- eEz) arising from an applied electric field, and (iii) a contribution - e 2/4u p 7T due to the image charge induced on the surface of the metal by an electron outside the metal. The potential is not expected to have significance at z =0, and the main features of the emission process are to be understood by the shape of the potential outside the metal.

VXB}]'l.. 42) which is an expression of Liouville's theorem for the incompressible motion of particles in the six-dimensional phase space (x,p). 46) 27 Sec. 56) is the continuity equation, while Eq. 57) is the equation of motion. For a cold fluid, V· P=O. If the effects of finite temperature were to be included, this term would be retained, and it would be necessary 28 Chap. 1 • Introduction to make an assumption about an equation of state in order to calculate the stress tensor P(x, t) and close the system of equations.