Diffraction at the Open End of Dielectric-Lined Circular Waveguide

TL;DR

This paper presents a rigorous analytical method for solving diffraction problems at the open end of layered dielectric-lined circular waveguides, with applications to THz wave interactions and beam-driven radiation sources.

Contribution

It extends previous work to layered dielectric fillings, providing an efficient numerical solution for reflection coefficients using Wiener-Hopf-Fock equations.

Findings

Excellent agreement between analytical S-parameters and COMSOL simulations.

Method effectively models diffraction of slow TM modes at waveguide open ends.

Applicable to design and analysis of THz waveguides and beam-driven sources.

Abstract

A rigorous approach for solving canonical circular open-ended dielectric-lined waveguide diffraction problems is presented. This is continuation of our recent paper [1] where a simpler case of uniform dielectric filling has been considered. Here we deal with the case of an open-ended circular waveguide with layered dielectric filling which is closer to potential applications. The presented method uses the solution of corresponding Wiener-Hopf-Fock equation and leads to an infinite linear system for reflection coefficients (S-parameters) of the waveguide, 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 the described waveguide is considered. A series of such modes forms the wakefield (Cherenkov radiation field) generated by a charged particle bunch during its passage along the vacuum channel 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 prospective in context of modern beam-driven THz emitters, THz accererators and THz-based bunch manipulation and bunch diagnostic systems.