Solving the cutoff wave numbers in partially filled rectangular waveguides by the Cauchy integral method

Abstract

An efficient root-finder method for the cutoff wave-number resolution in a rectangular partially filled waveguide based upon the Cauchy integral method is presented. The great advantage that this method, valid for lossy dielectric and magnetic materials, has over others is that no initial seed is necessary for the localization of zeros, and also that no roots are lost inside the region under study, which guarantees that all modes are taken into account when the full-wave problem is solved.

Frequency Deviation Due to a Sample Insertion Hole in a Cylindrical Cavity by Circuital Analysis

“…modes can be found: Then solutions of (1) or (5) give the resonant frequencies of a cylindrical cavity coaxially filled. Many strategies are available to solve them, but a very interesting method can be the APM -Argument Principle Metod-or CIM -Contour Integration Method-technique, introduced in [11] and successfully used in multilayer structures [12] and more recently to analyse the modes in partially filled rectangular waveguides [13]. Fig.…”

Finding resonant frequencies for high loss dielectrics in cylindrical cavities

“…As the explicit equation is known, the argument principle method (APM), based on the Cauchy Integral, is used to overcome this problem. This method has been proposed previously, originally in , and then successfully used for electromagnetic purposes in .…”