## Azimuthal field calculations for microwave cavities |

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### Contents

ACCELERATORS | 8 |

INTEGRATION OF MAXUELLS EQUATIONS | 27 |

VALIDATION OF DBCI | 57 |

3 other sections not shown

### Common terms and phrases

analytic Array of values axis of symmetry BCI and DBCI beam pipe boundary conditions boundary indicated bunch length cavity geometry Cell Geometry charge bunch charge distribution charge traveling charged particle beam corresponding cos0 current source cylindrical coordinate cylindrical coordinate system DBCI calculations defined derived difference equation dimensional dimensions edge electric field electromagnetic field electrons traveling energy EPHI excited EZ(K field calculations field components Fourier transformed frequency HPHI(K impulse wake potential indicated in figure integration equations interactions line integral becomes Line Integral Path linear accelerator located longitudinal fields magnetic field Maxwell's equations mesh cell mesh node mesh point mesh sites metal offaxis Open Boundary phase velocity problem R.F. cavities radial line rearranging shunt impedance source fields step storage ring structure SUPERFISH surface integral symmetry axis synchrotron transverse fields transverse wake Ueiland Uilson Uith voltage wakefield waveguide XX HydA zero zj+i