Mode Recognition by Shape Morphing for Maxwell's Eigenvalue Problem

TL;DR

This paper introduces a novel shape morphing technique to recognize and classify eigenmodes in complex Maxwell's eigenvalue problems by deforming cavity geometries to a standard shape.

Contribution

The paper presents a new method for eigenmode recognition by morphing complex cavity shapes to a simple reference shape and tracking eigenmodes during deformation.

Findings

Effective classification of eigenmodes in complex geometries

Improved understanding of mode behavior during shape deformation

Potential for enhanced design optimization in RF cavities

Abstract

In electrical engineering, for example during the design of superconducting radio-frequency cavities, eigenmodes must be identified based on their field patterns. This allows to understand the working principle, optimize the performance of a device and distinguish desired from parasitic modes. For cavities with simple shapes, the eigenmodes are easily classified according to the number of nodes and antinodes in each direction as is obvious from analytical formulae. For cavities with complicated shapes, the eigenmodes are determined numerically. Thereby, the classification is cumbersome, if not impossible. In this paper, we propose a new recognition method by morphing the cavity geometry to a pillbox and tracking its eigenmodes during the deformation.