In this paper, with the fast and accurate evaluation of multilayered Green's functions, we propose an adaptive algorithm of wideband frequency sweeping for microwave passive circuits, which is based on the mixed potential integral equation (MPIE).The proposed method selects Chebyshev zeros from the frequency band as sampling points to perform interpolation. The relative error of the interpolated matrix can be calculated using the Frobenius norm, which can also be used as a criterion for convergence in the adaptive mechanism. A numerical example demonstrates that sampling Chebyshev zeros provides a much lower and more consistent error rate. Furthermore, the full-wave analysis of a microwave wideband passive circuit can be efficiently obtained using this algorithm without any a priori conditions. The trade-off between numerical accuracy and computational efficiency of this algorithm is obtained through numerous statistical experiments and discussed quantitatively.
国家重点基础研究发展计划 (973计划)(2013CB329002)
国家自然科学基金(61601121,61401092,61302019)
RWG: 468, [1:0.02:5] GHz $||$ Mac Pro @ 2.5 GHz, 16G RAM | ||
Scheme | Time cost (s) | Max relative error (compare to MoM) |
HFSS (discrete) | 3686 | – |
MoM | 25037 | – |
3-Cheby. Intp. | 529 | 11.15% ($-$10 dB) |
4-Cheby. Intp. | 690 | 4.37% ($-$14 dB) |
5-Cheby. Intp. | 836 | 1.67% ($-$18 dB) |
6-Cheby. Intp. | 949 | 0.63% ($-$22 dB) |
7-Cheby. Intp. | 1071 | 0.26% ($-$26 dB) |
8-Cheby. Intp. | 1189 | 0.11% ($-$30 dB) |
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