Impedance Scaling for Small-angle Tapers and Collimators

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In this note I will prove that the impedance calculated for a small-angle collimator or taper, of arbitrary 3D profile, has a scaling property that can greatly simplify numerical calculations. This proof is based on the parabolic equation approach to solving Maxwell's equation developed in Refs. [1, 2]. We start from the parabolic equation formulated in [3]. As discussed in [1], in general case this equation is valid for frequencies {omega} >> c/a where a is a characteristic dimension of the obstacle. However, for small-angle tapers and collimators, the region of validity of this equation extends toward smaller frequencies and ... continued below

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4 pages

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Stupakov, G. & /SLAC February 11, 2010.

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Description

In this note I will prove that the impedance calculated for a small-angle collimator or taper, of arbitrary 3D profile, has a scaling property that can greatly simplify numerical calculations. This proof is based on the parabolic equation approach to solving Maxwell's equation developed in Refs. [1, 2]. We start from the parabolic equation formulated in [3]. As discussed in [1], in general case this equation is valid for frequencies {omega} >> c/a where a is a characteristic dimension of the obstacle. However, for small-angle tapers and collimators, the region of validity of this equation extends toward smaller frequencies and includes {omega} {approx} c/a.

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4 pages

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  • Report No.: SLAC-TN-10-001
  • Grant Number: AC02-76SF00515
  • DOI: 10.2172/972231 | External Link
  • Office of Scientific & Technical Information Report Number: 972231
  • Archival Resource Key: ark:/67531/metadc929318

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  • February 11, 2010

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 15, 2016, 3:34 p.m.

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Stupakov, G. & /SLAC. Impedance Scaling for Small-angle Tapers and Collimators, report, February 11, 2010; United States. (digital.library.unt.edu/ark:/67531/metadc929318/: accessed August 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.