Abstract
We solve Maxwell's eigenvalue problem via isogeometric boundary elements and a contour integral method. We discuss the analytic properties of the discretization, outline the implementation, and showcase numerical examples.
Highlights
Isogeometric analysis [7] has been established as the method of choice when dealing with such high demands on accuracy w.r.t. geometry representation
Isogeometric methods are well understood for the case of electromagnetism [8, 9] and a corresponding finite element approach has already been applied to Maxwell’s eigenvalue problem [10]
This section is devoted to a brief review of isogeometric analysis as required for its utilisation in the context of boundary element methods for electromagnetism
Summary
The development and construction of particle accelerators is arguably one of the most time and money consuming research projects in modern experimental physics. A cause for this is that essential components are not available off the shelf and must be manufactured uniquely tailored to the design specification of the planned accelerator. One of the most performance critical components are so-called cavities, resonators often made out of superconducting materials in which electromagnetic fields oscillate at radio frequencies. The geometry, and the resonance behaviour of these structures is vital to the overall performance of the accelerator as a whole. Due to the expensive (e.g. superconducting) materials and vast amounts of manual labor that are needed in the manufacturing of these devices, the design of cavities has become its own area of research, cf [1] and the sources cited therein. High accuracies are desired such that the initial design and its simulation are not the weakest link within the manufacturing pipeline. One is presented by Georg et al [6], who show that even higher accuracies than those already achievable are required to simulate eccentricities
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
