Diffraction at the Open-Ended Dielectric-Loaded Circular Waveguide: Rigorous Approach

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Abstract

An elegant and convenient rigorous approach for solving canonical circular open-ended dielectric-loaded waveguide diffraction problems is presented. It uses the solution of corresponding Wiener-Hopf-Fock equation and leads to an infinite linear system for reflection coefficients (S-parameters) of the waveguide, and the latter can be efficiently solved numerically using the reducing technique. As a specific example directly applicable to beam-driven radiation sources based on dielectric-lined capillaries, diffraction of a slow TM symmetrical mode at the open end of a circular waveguide with uniform dielectric filling is considered. A series of such modes forms the wakefield (Cherenkov radiation field) generated by a charged particle bunch during its passage along the waveguide axis. Calculated S-parameters were compared with those obtained from COMSOL simulation and an excellent agreement was shown. This method is expected to be very convenient for analytical investigation of various electromagnetic interactions of terahertz (THz) waves (both free and guided) and charged particle bunches with slow-wave structures perspective in context of modern beam-driven THz emitters, THz accelerators, and THz-based bunch manipulation and bunch diagnostic systems.

Original languageEnglish
Article number9382413
Pages (from-to)2429-2438
JournalIEEE Transactions on Microwave Theory and Techniques
Volume69
Issue number5
DOIs
StatePublished - May 2021

Scopus subject areas

  • Radiation
  • Electrical and Electronic Engineering

Keywords

  • Diffraction radiation
  • open-ended waveguide
  • Wiener-Hopf technique

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