Koziel, Slawomir; Bandler, John W. Modeling of microwave devices with space mapping and radial basis functions. (English) Zbl 1143.65014 Int. J. Numer. Model. 21, No. 3, 187-203 (2008). Summary: We review recent developments in space mapping techniques for modeling of microwave devices. We present a surrogate modeling methodology that utilizes space mapping combined with radial basis function interpolation. The method has advantages both over the standard space mapping modeling methodology and the recently published space mapping modeling with variable weight coefficients. In particular, it provides accuracy comparable or better than the latter method and computational efficiency as good as the standard space mapping modeling procedure. A comparison between the space mapping modeling methodologies as well as application examples of optimization and statistical analysis of microwave structures is presented. Cited in 1 Document MSC: 65D17 Computer-aided design (modeling of curves and surfaces) Keywords:computer-aided design (CAD); EM modeling; space mapping; surrogate modeling; radial basis functions; engineering optimization; numerical examples Software:Sonnet PDFBibTeX XMLCite \textit{S. Koziel} and \textit{J. W. Bandler}, Int. J. Numer. Model. 21, No. 3, 187--203 (2008; Zbl 1143.65014) Full Text: DOI References: [1] Bandler, IEEE Transactions on Microwave Theory and Techniques 4 pp 536– (1994) [2] Bandler, IEEE Transactions on Microwave Theory and Techniques 52 pp 337– (2004) [3] Koziel, IEEE Transactions on Microwave Theory and Techniques 54 pp 3721– (2006) [4] Echeverria, CMAM the International Mathematical Journal Computational Methods in Applied Mathematics 5 pp 107– (2005) [5] Choi, IEEE Transactions on Magnetics 37 pp 3627– (2001) [6] Ismail, IEEE Transactions on Microwave Theory and Techniques 52 pp 386– (2004) [7] Amari, IEEE Transactions on Microwave Theory and Techniques 54 pp 2153– (2006) [8] Rayas-Sánchez, IEEE Transactions on Microwave Theory and Techniques 54 pp 4528– (2006) [9] Bandler, IEEE Transactions on Microwave Theory and Techniques 49 pp 67– (2001) [10] , , . Enhanced surrogate models for statistical design exploiting space mapping technology. IEEE MTT-S International Microwave Symposium Digest, Long Beach, CA, June 2005; 1609–1612. [11] Bandler, International Journal of RF and Microwave Computer-Aided Engineering 16 pp 518– (2006) [12] Rautio, IEEE Microwave Magazine 5 pp 62– (2004) [13] . Space-mapping-based modeling utilizing parameter extraction with variable weight coefficients and a data base. IEEE MTT-S International Microwave Symposium Digest, San Francisco, CA, June 2006; 1763–1766. [14] Koziel, IEEE Transactions on Microwave Theory and Techniques 54 pp 4316– (2006) [15] . Microwave device modeling utilizing parameter extraction and radial basis functions. IEEE MTT-S International Microwave Symposium Digest, Honolulu, Hawaii, June 2007; 799–802. [16] , , , . Neuro-space mapping technique for nonlinear device modeling and large signal simulation. IEEE MTT-S International Microwave Symposium Digest, Philadelphia, PA, June 2003; 173–176. [17] Devabhaktuni, IEEE Transactions on Microwave Theory and Techniques 51 pp 1822– (2003) [18] Zhang, IEEE Transactions on Microwave Theory and Techniques 53 pp 2752– (2005) [19] , , . A neural network model for CAD and optimization of microwave filters. IEEE MTT-S International Microwave Symposium Digest, Baltimore, MD, 1998; 13–16. [20] Peik, IEEE Transactions on Microwave Theory and Techniques 46 pp 2364– (1998) [21] Simpson, Engineering with Computers 17 pp 129– (2001) [22] Queipo, Progress in Aerospace Sciences 41 pp 1– (2005) [23] Mullur, Engineering with Computers 21 pp 203– (2006) [24] Simpson, AIAA Journal 39 pp 2233– (2001) [25] Radial basis functions for multivariate interpolation: a review. In Algorithms for Approximation, (eds). Clarendon Press: Oxford, 1987. [26] . Radial Basis Functions: Theory and Implementations. Cambridge University Press: Cambridge, U.K., 2003. · Zbl 1038.41001 [27] Bakr, Optimization Engineering 2 pp 369– (2001) [28] Sonnet Software, Inc. emTM Version 10.53, Sonnet Software, Inc., North Syracuse, NY, U.S.A. [29] , . Measurement and computer-aided modeling of microstrip discontinuities by an improved resonator method. IEEE MTT-S International Microwave Symposium Digest, Boston, MA, May 1983; 495–497. [30] Manchec, IEEE Transactions on Microwave Theory and Techniques 54 pp 2346– (2006) [31] EM Software & Systems-S.A. (Pty) Ltd. FEKO® User’s Manual, EM Software & Systems-S.A. (Pty) Ltd, Stellenbosch, South Africa, June 2004, http://www.feko.info [32] Agilent ADS. Version 2003C, Agilent Technologies, Santa Rosa, CA, 2003. [33] Bakr, IEEE Transactions on Microwave Theory and Techniques 48 pp 2307– (2000) [34] , . Improving efficiency of space mapping optimization of microwave structures and devices. IEEE MTT-S International Microwave Symposium Digest, Honolulu, Hawaii, June 2007; 1995–1998. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.