2015
DOI: 10.1103/physrevstab.18.034401
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Using surface impedance for calculating wakefields in flat geometry

Abstract: Beginning with Maxwell's equations and assuming only that the wall interaction can be approximated by a surface impedance, we derive formulas for the generalized longitudinal and transverse impedance in flat geometry, from which the wakefields can also be obtained. From the generalized impedances, by taking the proper limits, we obtain the normal longitudinal, dipole, and quad impedances in flat geometry. These equations can be applied to any surface impedance, such as the known dc, ac, and anomalous skin mode… Show more

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Cited by 24 publications
(35 citation statements)
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“…The general form of the impedances for a flat structure, one that can be described using the surface impedance concept, is developed in Refs. [5,6]. A conclusion of this work was that the final results-the impedances-were approximate and valid, provided that the frequency k = ω/c 1/a-which is satisfied-and that |ζ| 1 (or h/a 1), which is not.…”
Section: Flat Geometrymentioning
confidence: 89%
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“…The general form of the impedances for a flat structure, one that can be described using the surface impedance concept, is developed in Refs. [5,6]. A conclusion of this work was that the final results-the impedances-were approximate and valid, provided that the frequency k = ω/c 1/a-which is satisfied-and that |ζ| 1 (or h/a 1), which is not.…”
Section: Flat Geometrymentioning
confidence: 89%
“…In previous work, the surface impedance approach to obtaining the impedances and wakes of a short, high energy bunch in a flat dechirper was derived [4][5][6].…”
Section: Introductionmentioning
confidence: 99%
“…[5,6]. A conclusion of this work was that the final results-the impedances-were approximate and valid, provided that the frequency k ¼ ω=c ≫ 1=a-which is satisfied-and that jζj ≪ 1 (or h=a ≪ 1), which is not for our nominal corrugation parameters (see Table I).…”
Section: Flat Geometrymentioning
confidence: 97%
“…[5], which explicitly gives the fields and wakefields in structures with flat geometry for which the effect at the boundaries can be approximated by a surface impedance. First the frequency representation of the fields are Fourier transformed in x asĤ…”
Section: Flat Geometrymentioning
confidence: 99%
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