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Title: Introduction to electrodynamics for microwave linear accelerators

This collection of notes and exercises is intended as a workbook to introduce the principles of microwave linear accelerators, starting with the underlying foundation in electrodynamics. The author reviewed Maxwell's equations, the Lorentz force law, and the behavior of fields near a conducting boundary. The author goes on to develop the principles of microwave electronics, including waveguide modes, circuit equivalence, shunt admittance of an iris, and voltage standing-wave ratio. The author constructed an elementary example of a waveguide coupled to a cavity, and examined its behavior during transient filling of the cavity, and in steady-state. He goes on to examine a periodic line. Then he examined the problem of acceleration in detail, studying first the properties of a single cavity-waveguide-beam system and developing the notions of wall Q, external Q, [R/Q], shunt impedance, and transformer ratio. He then examined the behavior of such a system on and off resonance, on the bench, and under conditions of transient and steady-state beam-loading. This work provides the foundation for the commonly employed circuit equivalents and the basic scalings for such systems. Following this he examined the coupling of two cavities, powered by a single feed, and goes on to consider structures constructed frommore » multiple coupled cavities. The basic scalings for constant impedance and constant gradient traveling-wave structures are set down, including features of steady-state beam-loading, and the coupled-circuit model. Effects of uniform and random detuning are derived. These notes conclude with a brief outline of some problems of current interest in accelerator research.« less
Authors:
Publication Date:
OSTI Identifier:
291051
Report Number(s):
SLAC-PUB--7802; CONF-9609245--
ON: DE98059212; TRN: US200305%%600
DOE Contract Number:
AC03-76SF00515
Resource Type:
Conference
Resource Relation:
Conference: 1996 US/CERN/Japan particle acceleration school, Shonan Village (JP), 09/09/1996--09/18/1996; Other Information: Supercedes report DE98059212; PBD: Apr 1998; PBD: 1 Apr 1998
Research Org:
Stanford Univ., Stanford Linear Accelerator Center, CA (US)
Sponsoring Org:
USDOE Office of Energy Research, Washington, DC (US)
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; ACCELERATION; ACCELERATORS; BYPASSES; CAVITIES; EDUCATIONAL FACILITIES; ELECTRODYNAMICS; IMPEDANCE; LINEAR ACCELERATORS; LORENTZ FORCE; RESONANCE; TRANSFORMERS; TRANSIENTS; WAVEGUIDES