Bulirsch-stoer algorithm with adaptive neville path for resonance detection and accurate interpolation

High number of analysis calls and the computational demand for each analysis present themselves as important bottlenecks in electromagnetic design optimization studies. One approach to achieve efficient re-analysis within the electromagnetic cycle is to provide a robust interpolation for the frequency based electromagnetic response. In literature, adaptive frequency sampling and rational function interpolation via diagonal Neville path Bulirsch-Stoer algorithm is among possible techniques. In this paper we develop an algorithm for an adaptive Neville path (that is competing with its standard diagonal counterpart) that permits for efficiently catching high-oscillatory multi-resonances. The technique is adopted to various return loss responses of antenna designs with inhomogeneous material substrates and complex conductor topologies. Results are compared to existing standard Bulirsch-Stoer algorithms. Proposed method is overall superior in terms of computational accuracy and minimizing total number of support points.