Coupling impedance of a periodic array of diaphragms

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A method is presented for calculating the high-frequency longitudinal and transverse coupling impedances in a periodic array of diaphragms in a circular perfectly conducting pipe. The method is based on Weinstein`s theory of diffraction of a plane electromagnetic wave on a stack of halfplanes. Using Weinstein`s solution, it is shown that the problem of finding the beam field in the pipe reduces to an effective boundary condition at the radius of the diaphragms that couples the longitudinal electric field with the azimuthal magnetic one. Solving Maxwell`s equations with this boundary condition leads to simple formulae for Z(long) and Z(tr). A ... continued below

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7 p.

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Stupakov, G.V. June 1, 1995.

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Description

A method is presented for calculating the high-frequency longitudinal and transverse coupling impedances in a periodic array of diaphragms in a circular perfectly conducting pipe. The method is based on Weinstein`s theory of diffraction of a plane electromagnetic wave on a stack of halfplanes. Using Weinstein`s solution, it is shown that the problem of finding the beam field in the pipe reduces to an effective boundary condition at the radius of the diaphragms that couples the longitudinal electric field with the azimuthal magnetic one. Solving Maxwell`s equations with this boundary condition leads to simple formulae for Z(long) and Z(tr). A good agreement with a numerical solution of the problem found by other authors is demonstrated.

Physical Description

7 p.

Notes

OSTI as DE97009058

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  • 16. Institute of Electrical and Electronic Engineers (IEEE) particle accelerator conference, Dallas, TX (United States), 1-5 May 1995

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  • Other: DE97009058
  • Report No.: SLAC-PUB--6802
  • Report No.: CONF-950512--
  • Grant Number: AC03-76SF00515
  • Office of Scientific & Technical Information Report Number: 621772
  • Archival Resource Key: ark:/67531/metadc690610

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  • June 1, 1995

Added to The UNT Digital Library

  • Aug. 14, 2015, 8:43 a.m.

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  • Aug. 9, 2016, 12:29 p.m.

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Stupakov, G.V. Coupling impedance of a periodic array of diaphragms, article, June 1, 1995; California. (digital.library.unt.edu/ark:/67531/metadc690610/: accessed August 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.