Particle Accelerator Physics: Basic Principles and Linear by Helmut Wiedemann

By Helmut Wiedemann

During this moment variation of Particle Accelerator Physics, Vol. 1, is principally a reprint of the 1st variation with no major alterations in content material. The bibliography has been up-to-date to incorporate newer development within the box of particle accelerators. With assistance from many observant readers a couple of misprints and error will be eradicated. the writer want to convey his honest appreciation to all those that have mentioned such shortcomings and wel­ comes such details and the other correct details sooner or later. the writer might additionally prefer to show his exact because of the editor Dr. Helmut Lotsch and his employees for editorial in addition to technical suggestion and aid which contributed enormously to the huge reputation of this article and made a moment version of either volumes valuable. Palo Alto, California Helmut Wiedemann November 1998 VII Preface to the 1st version the aim of this textbook is to supply a entire advent into the physics of particle accelerators and particle beam dynamics. Parti­ cle accelerators became very important study instruments in excessive power physics in addition to resources of incoherent and coherent radiation from the a long way infra pink to tough x-rays for simple and utilized learn. in the course of years of training accelerator physics it grew to become transparent that the only most disturbing concern to get brought into the sector is the absence of an appropriate textbook.

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15) where the coefficient B must vanish to avoid a singularity for r = O. The remaining solution represent many modes n for the field component Es consistent with the boundary conditions. 15) using Maxwell's curl equations and exhibit a similar mode structure. The multitude of possible modes can be classified into two main groups, the TE modes, where all electric field components are transverse, and the TM modes, with only transverse magnetic field components. We are interested only in the TM modes which are the only ones to exhibit longitudinal electric fields.

37) where Zs is the shunt impedance for the whole section, E the maximum value of the accelerating field, Es = E . ,ps the synchronous phase at which the particle interacts with the wave, rs the shunt impedance per unit length, and L the length of the cavity. 38) 2 ex rs P. The total accelerating voltage along a structure of length L is J J L Vo = L Esds = E cos"ps . 39) o or after integration Vo = 1- e- aL ex . E . cos "ps . 38) for the total accelerating voltage per section of length L VO = y'rsLPo 1 V2i - e 7 -T cos"ps.

We are interested only in the TM modes which are the only ones to exhibit longitudinal electric fields. Individual TM modes are characterized by three indices, TMnpq , where n is the azimuthal periodicity and p and q the radial and longitudinal periodicity, respectively. , the field Es(r, 0, s) is independent of 0 and s but has one node in radial direction at the wall, where the electric field must be zero. In discussing electromagnetic fields in metallic tubes we must consider proper boundary conditions on wall surfaces.

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