SCIENTIA SINICA Informationis, Volume 47, Issue 7: 915(2017) https://doi.org/10.1360/N112016-00195

## An adaptive wideband frequency-sweeping algorithm and its application to full-wave analysis of multilayered structures

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• ReceivedAug 13, 2016
• AcceptedNov 2, 2016
• PublishedMar 30, 2017
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### Abstract

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.

### Funded by

• Table 1   Relation between accuracy and efficiency of the algorithm proposed in this paper
 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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