By R. Miller

ISBN-10: 1468411284

ISBN-13: 9781468411287

ISBN-10: 1468411306

ISBN-13: 9781468411300

An excessive charged particle beam might be characterised as an equipped charged particle circulation for which the consequences of beam self-fields are of significant value in describing the evolution of the stream. learn utilising such beams is now a speedily starting to be box with vital functions starting from the improvement of excessive strength assets of coherent radiation to inertial confinement fusion. significant courses have now been proven at numerous laboratories within the usa and nice Britain, in addition to within the USSR, Japan, and several other japanese and Western eu countries. moreover, similar examine actions are being pursued on the graduate point at numerous universities within the US and in another country. 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 subject matters, but contained enough element to be of curiosity to the energetic researcher. That scenario has continued, 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 abundant details to be a handy reference resource for the complex worker.

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**Additional resources for An Introduction to the Physics of Intense Charged Particle Beams**

**Example text**

Assume that the switch gap separation is 5 cm, and that the individual switch points are separated from each other by 10 cm. (a) What is the switch breakdown voltage? (b) How many switch channels will form if uv ""2%? (c) What will be the pulse rise time? 7. Consider an intense relativistic electron beam propagating in vacuum along a longitudinal magnetic field of strength B with equilibrium radius 'boo Suppose that at a particular axial position Zo the field strength increases nonadiabatically to Bo + /l B.

28) for J yields the relationship between current density and the applied voltage for the relativistic planar Chap. 32) where d is the electrode spacing and Yo corresponds to the applied potential Icf>ol. In the nonrelativistic limit, ecf>0/m oc2 «1, Eq. " e, A comparison of the normalized diode impedance {Zn = U/ where U= ecf>/mc 2 and = (je/(mc 3ep )]d 2(MKS)} for the relativistic and nonrelativistic solutions is presented in Fig. 7. Note that the diode impedance decreases as the applied potential is increased.

24) Eq. 25) Sec. 26) Integration of Eq. 27) The constant of integration C 1 is zero becausey = dy/dz = df/>/dz =0 at the cathode. Taking the square root and integrating, Eq. 29) where 8=cos - 1[1_(y2_ 1)1/2] 1+( y2 + 1)1/2 F( 8, Ii /2) and E( 8, Ii /2) are elliptic integrals of the first and second kind, defined by Substituting for K and solving Eq. 28) for J yields the relationship between current density and the applied voltage for the relativistic planar Chap. 32) where d is the electrode spacing and Yo corresponds to the applied potential Icf>ol.

### An Introduction to the Physics of Intense Charged Particle Beams by R. Miller

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