Matrix solution of coupling impedance in multi-layer circular cyclindrical structures

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Continuing interest in computing the coupling impedance of cylindrical multi-layer beam tubes led to several recent publications. A novel matrix method is here presented in which radial wave propagation is treated in analogy to longitudinal transmission lines. Starting from the Maxwell equations the solutions for monopole electromagnetic fields are in each layer described by a 2 x 2 matrix. Assuming isotropic material properties within one layer, the radially transverse field components at the inner boundary of a layer are uniquely determined by matrix transfer of the field components at its outer boundary. By imposing power flow constraints on the matrix, ... continued below

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Hahn, H. & Choi, E. May 4, 2009.

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Continuing interest in computing the coupling impedance of cylindrical multi-layer beam tubes led to several recent publications. A novel matrix method is here presented in which radial wave propagation is treated in analogy to longitudinal transmission lines. Starting from the Maxwell equations the solutions for monopole electromagnetic fields are in each layer described by a 2 x 2 matrix. Assuming isotropic material properties within one layer, the radially transverse field components at the inner boundary of a layer are uniquely determined by matrix transfer of the field components at its outer boundary. By imposing power flow constraints on the matrix, field matching between layers is enforced and replaced by matrix multiplication. The coupling impedance of a stainless steel beam tube defined by a matrix is given as a representative demonstration.

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  • Particle Accelerator Conference; Vancouver, B.C., Canada; 20090504 through 20090508

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  • Report No.: BNL--81818-2009-CP
  • Grant Number: DE-AC02-98CH10886
  • Office of Scientific & Technical Information Report Number: 952542
  • Archival Resource Key: ark:/67531/metadc927492

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  • May 4, 2009

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  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 8:38 p.m.

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Hahn, H. & Choi, E. Matrix solution of coupling impedance in multi-layer circular cyclindrical structures, article, May 4, 2009; United States. (digital.library.unt.edu/ark:/67531/metadc927492/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.