Integral Equation Modelling of Reverberation Chambers using Higher-Order Basis Functions
Reverberation chambers (RCs) are important measurement facilities, and thus it is often required to simulate their behaviour numerically. However, due to their special characteristics, especially for high Q factors, they are often considered too challenging for application of standard numerical software. In particular, a recent publication  listed the perceived state-of-the-art in integral equation modelling of RCs, and identified numerous open problems.
The present paper illustrates that computational analysis of large RCs can be performed with limited computer resources. This can be achieved by using Higher-Order (HO) basis functions in the integral equation discretization and, if necessary, further applying the Multi-Level Fast Multipole Method.
After a discussion and brief review of existing methods for RC modelling, we will turn to a description of the key features of HO basis functions and their related MLFMM implementation, focusing on how they allow surpassing some of the challenges faced by lower-order discretizations. Then, several RC test cases are analyzed, drawing comparisons to other results from the relevant literature. The conclusion is that, using HO basis functions and a thorough MLFMM implementation, some of the challenges identified in  can be overcome.
Publication: Proc. AMTA 36th Annual Meeting & Symposium
Place: Tucson, Arizona, USA