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RF Basics I & II

Frank Gerigk

Abstract

This lecture starts with a brief historical introduction and an explanation how to get from Maxwell's Equations to a simple cavity. After simplifying and adapting the equations for their application to Radio Frequency problems, the most important formulae and characteristics for cavities and wave-guides are derived. The most common figures of merit are explained and some of the different cavity types are introduced. The alternative description of cavities as a lumped circuit model is then introduced, which is often used to characterise the cavity-coupler-generator interplay.

RF Basics I & II

Abstract

This lecture starts with a brief historical introduction and an explanation how to get from Maxwell's Equations to a simple cavity. After simplifying and adapting the equations for their application to Radio Frequency problems, the most important formulae and characteristics for cavities and wave-guides are derived. The most common figures of merit are explained and some of the different cavity types are introduced. The alternative description of cavities as a lumped circuit model is then introduced, which is often used to characterise the cavity-coupler-generator interplay.
Paper Structure (4 sections, 7 equations, 4 figures)

This paper contains 4 sections, 7 equations, 4 figures.

Table of Contents

  1. Historical introduction
  2. Introduction to Maxwell's Equations
  3. Maxwell's Equations
  4. Useful theorems by Gauss and Stokes

Figures (4)

  • Figure 1: Principle of Wideröe's RF linear accelerator: RF electric fields between drift tubes accelerate the particles
  • Figure 2: Gap distance for proton acceleration with a 10 MHz RF source
  • Figure 3: Principle and field profile of an Alvarez linac
  • Figure 4: Linac4 DTL at CERN