Abstract

Various asymptotic representations for the longitudinal monopole impedance of a two-layer metal-dielectric cylindrical waveguide with finite-conducting external walls and a lossy internal dielectric layer are derived. Areas of their applicability are determined and their properties are investigated. New features for the resonance properties of the structure under consideration are revealed and described.

Highlights

  • Dielectric-loaded waveguides are widely used in accelerator physics and related fields

  • The analytical representations of the longitudinal impedance for the conducting waveguides with lossy dielectric loads are missing

  • In this paper several asymptotic representations of the longitudinal impedance are derived taking into account the finite conductivity of the outer wall and the imaginary component of the dielectric constant of the inner layer

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Summary

Introduction

Dielectric-loaded waveguides are widely used in accelerator physics and related fields. A thin internal dielectric layer approximation is used for modeling corrugated and rough inner surfaces of accelerating structures [18-. Theoretical studies are usually considering a structure model, which consists of an ideally conductive external wall and a lossless internal dielectric coating. The analytical representations of the longitudinal impedance for the conducting waveguides with lossy dielectric loads are missing. In this paper several asymptotic representations of the longitudinal impedance are derived taking into account the finite conductivity of the outer wall and the imaginary component of the dielectric constant of the inner layer. For a better interpretation of the results, numerical examples are given for a lossless dielectric layer ߝଵᇱᇱ = 0 and an unbounded outer copper wall with a conductivity of ߪଶ = 58 ∙ 10଺ Ωିଵ݉ିଵ.

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