The state of the art of microwave CAD: EM-based optimization and modeling

We briefly review the current state of the art of microwave CAD technologies. We look into the history of design optimization and CAD-oriented modeling of microwave circuits as well as electromagnetics-based optimization techniques. We emphasize certain direct approaches that utilize efficient sensitivity evaluations as well as surrogate-based optimization approaches that greatly enhance electromagnetics-based optimization performance. On the one hand, we review recent adjoint methodologies, on the other we focus on space mapping implementations, including the original, aggressive, implicit, output, tuning, and related developments. We illustrate our presentation with suitable examples and applications. © 2010 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2010.

[1]  Natalia K. Nikolova,et al.  Sensitivity analysis of the scattering parameters of microwave filters using the adjoint network method , 2006 .

[2]  Gabor C. Temes,et al.  Computer-aided network optimization the state-of-the-art , 1967 .

[3]  N.K. Nikolova,et al.  An adjoint variable method for time domain TLM with fixed structured grids , 2003, IEEE MTT-S International Microwave Symposium Digest, 2003.

[4]  Andy J. Keane,et al.  A Knowledge-Based Approach To Response Surface Modelling in Multifidelity Optimization , 2003, J. Glob. Optim..

[5]  S. Koziel,et al.  Space Mapping Design Framework Exploiting Tuning Elements , 2010, IEEE Transactions on Microwave Theory and Techniques.

[6]  J. Bandler,et al.  Adjoint higher order sensitivities for fast full-wave optimization of microwave filters , 2006, IEEE Transactions on Microwave Theory and Techniques.

[7]  T. Dhaene,et al.  Recent trends in the integration of circuit optimization and full-wave electromagnetic analysis , 2004, IEEE Transactions on Microwave Theory and Techniques.

[8]  John W. Bandler,et al.  Efficient optimization with integrated gradient approximations , 1988 .

[9]  W. Marsden I and J , 2012 .

[10]  John W. Bandler,et al.  Electromagnetic optimization of 3-D structures , 1997 .

[11]  John W. Bandler,et al.  Functional Approach to Microwave Postproduction Tuning , 1985 .

[12]  J.W. Bandler,et al.  Large Scale Minimax Optimization of Microwave Multiplexers , 1986, 1986 16th European Microwave Conference.

[13]  P. W. Hemker,et al.  Space Mapping and Defect Correction , 2005 .

[14]  Sanjit K. Mitra,et al.  Modern filter theory and design , 1973 .

[15]  Slawomir Koziel,et al.  Rapid surrogate-based optimization of UWB planar antennas , 2010, Proceedings of the Fourth European Conference on Antennas and Propagation.

[16]  S. Koziel,et al.  Space mapping , 2008, IEEE Microwave Magazine.

[17]  G. E. Brehm Multifunction MMIC history from a process technology perspective , 1990 .

[18]  John W. Bandler,et al.  Parameterization of arbitrary geometrical structures for automated electromagnetic optimization , 1999 .

[19]  M. Bakr,et al.  Sensitivity analysis with the FDTD method on structured grids , 2004, IEEE Transactions on Microwave Theory and Techniques.

[20]  R. Rohrer The Generalized Adjoint Network and Network Sensitivities , 1969 .

[21]  John W. Bandler,et al.  Review of the Space Mapping Approach to Engineering Optimization and Modeling , 2000 .

[22]  R. Lewis,et al.  An Overview of First-Order Model Management for Engineering Optimization , 2001 .

[23]  S.M. Ali,et al.  Sensitivity analysis with full-wave electromagnetic solvers based on structured grids , 2004, IEEE Transactions on Magnetics.

[24]  J.W. Bandler,et al.  Implicit space mapping optimization exploiting preassigned parameters , 2004, IEEE Transactions on Microwave Theory and Techniques.

[25]  C. G. Broyden A Class of Methods for Solving Nonlinear Simultaneous Equations , 1965 .

[26]  R.J. Wenzel,et al.  Fast analysis and optimization of combline filters using FEM , 2001, 2001 IEEE MTT-S International Microwave Sympsoium Digest (Cat. No.01CH37157).

[27]  P. Guillon,et al.  Automated design of microwave devices using full EM optimization method , 1998, 1998 IEEE MTT-S International Microwave Symposium Digest (Cat. No.98CH36192).

[28]  J. Bandler,et al.  Computation of Sensitivities for Noncommensurate Networks , 1971 .

[29]  J.C. Rautio EM-Component-Based Design of Planar Circuits , 2007, IEEE Microwave Magazine.

[30]  D. Echeverr,et al.  SPACE MAPPING AND DEFECT CORRECTION , 2005 .

[31]  M. Mattes,et al.  A novel adaptive sampling algorithm based on the survival-of-the-fittest principle of genetic algorithms , 2004, IEEE Transactions on Microwave Theory and Techniques.

[32]  M. H. Bakr,et al.  Efficient Time-domain Sensitivity Analysis using Coarse Grids , 2008 .

[33]  Ramana V. Grandhi,et al.  Improved Distributed Hypercube Sampling , 2002 .

[34]  John W. Bandler,et al.  Optimization Methods for Computer-Aided Design , 1969 .

[35]  J.W. Bandler,et al.  Adjoint techniques for sensitivity analysis in high-frequency structure CAD , 2004, IEEE Transactions on Microwave Theory and Techniques.

[36]  Theresa Dawn Robinson,et al.  Surrogate-Based Optimization Using Multifidelity Models with Variable Parameterization and Corrected Space Mapping , 2008 .

[37]  John W. Bandler,et al.  Electromagnetic design of high-temperature superconducting microwave filters , 1994, 1994 IEEE MTT-S International Microwave Symposium Digest (Cat. No.94CH3389-4).

[38]  Jon P. Webb,et al.  Optimization of microwave devices using 3-D finite elements and the design sensitivity of the frequency response , 2003 .

[39]  N. M. Alexandrov,et al.  A trust-region framework for managing the use of approximation models in optimization , 1997 .

[40]  John W. Bandler,et al.  Tuning space mapping optimization exploiting embedded surrogate elements , 2009, 2009 IEEE MTT-S International Microwave Symposium Digest.

[41]  John W. Bandler,et al.  A nonlinear programming approach to optimal design centering, tolerancing, and tuning , 1976 .

[42]  John W. Bandler,et al.  Current Trends in Network Optimization , 1970 .

[43]  S. Koziel,et al.  Accelerated Microwave Design Optimization With Tuning Space Mapping , 2009, IEEE Transactions on Microwave Theory and Techniques.

[44]  John W. Bandler,et al.  Space mapping technique for electromagnetic optimization , 1994 .

[45]  Daniel G. Swanson Optimizing a microstrip bandpass filter using electromagnetics , 1995 .

[46]  Young-Seek Chung,et al.  Optimal design method for microwave device using time domain method and design sensitivity analysis. II. FDTD case , 2001 .

[47]  A. J. Booker,et al.  A rigorous framework for optimization of expensive functions by surrogates , 1998 .

[48]  J.C. Rautio A conformal mesh for efficient planar electromagnetic analysis , 2004, IEEE Transactions on Microwave Theory and Techniques.

[49]  Martin D. Buhmann,et al.  Radial Basis Functions: Theory and Implementations: Preface , 2003 .

[50]  Natalia K. Nikolova,et al.  "Recent Advances in Sensitivity Analysis with Frequency-Domain Full-Wave EM Solvers" , 2004 .

[51]  C. Quendo,et al.  Synthesis of capacitive-coupled dual-behavior resonator (CCDBR) filters , 2006, IEEE Transactions on Microwave Theory and Techniques.

[52]  Anestis Dounavis,et al.  Passive model reduction of multiport distributed interconnects , 2000 .

[53]  M.C.E. Yagoub,et al.  Efficient analytical formulation and sensitivity analysis of neuro-space mapping for nonlinear microwave device modeling , 2005, IEEE Transactions on Microwave Theory and Techniques.

[54]  Xun Li,et al.  Efficient Adjoint Sensitivity Analysis Exploiting the FD-BPM , 2007, Journal of Lightwave Technology.

[55]  S. El-Ghazaly,et al.  Modeling and optimization of microwave devices and circuits using genetic algorithms , 2004, IEEE Transactions on Microwave Theory and Techniques.

[56]  Natalia K. Nikolova,et al.  Theory of self-adjoint S-parameter sensitivities for lossless non-homogenous transmission-line modelling problems , 2008 .

[57]  Yunpeng Song,et al.  Memory-Efficient Method for Wideband Self-Adjoint Sensitivity Analysis , 2008, IEEE Transactions on Microwave Theory and Techniques.

[58]  Nicholas I. M. Gould,et al.  Trust Region Methods , 2000, MOS-SIAM Series on Optimization.

[59]  John W. Bandler,et al.  Direct method for evaluating scattering-matrix sensitivities , 1970 .

[60]  Jon P. Webb Design sensitivity of frequency response in 3-D finite-element analysis of microwave devices , 2002 .

[61]  A. Hennings,et al.  Design optimization and implementation of bandpass filters with normally fed microstrip resonators loaded by high-permittivity dielectric , 2006, IEEE Transactions on Microwave Theory and Techniques.

[62]  D. Echeverría,et al.  SPACE MAPPING AND DEFECT CORRECTION 1 , 2005 .

[63]  Bernhard Schölkopf,et al.  A tutorial on support vector regression , 2004, Stat. Comput..

[64]  Michel Nakhla,et al.  A neural network modeling approach to circuit optimization and statistical design , 1995 .

[65]  A. Keane,et al.  Evolutionary Optimization of Computationally Expensive Problems via Surrogate Modeling , 2003 .

[66]  John W. Bandler,et al.  Tuning space mapping: A novel technique for engineering design optimization , 2008, 2008 IEEE MTT-S International Microwave Symposium Digest.

[67]  John W. Bandler,et al.  Yield-driven electromagnetic optimization via multilevel multidimensional models , 1993 .

[68]  J.W. Bandler,et al.  Space mapping: the state of the art , 2004, IEEE Transactions on Microwave Theory and Techniques.

[69]  J.W. Bandler,et al.  EM-based surrogate modeling and design exploiting implicit, frequency and output space mappings , 2003, IEEE MTT-S International Microwave Symposium Digest, 2003.

[70]  Farrokh Mistree,et al.  Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization , 2001 .

[71]  Mohamed H. Bakr,et al.  Self-adjoint S-parameter sensitivities for lossless homogeneous TLM problems , 2005 .

[72]  S. Koziel,et al.  Combining Coarse and Fine Models for Optimal Design , 2008, IEEE Microwave Magazine.

[73]  Wolfgang J. R. Hoefer,et al.  The generation of optimal microwave topologies using time-domain field synthesis , 2002 .

[74]  S. Koziel,et al.  A Space-Mapping Framework for Engineering Optimization—Theory and Implementation , 2006, IEEE Transactions on Microwave Theory and Techniques.

[75]  James C. Rautio Perfectly calibrated internal ports in EM analysis of planar circuits , 2008, 2008 IEEE MTT-S International Microwave Symposium Digest.

[76]  John W. Bandler,et al.  Integrated physics-oriented statistical modeling, simulation, and optimization (MESFETs) , 1992 .

[77]  M. Bakr,et al.  An adjoint variable method for sensitivity calculations of multiport devices , 2004, IEEE Transactions on Microwave Theory and Techniques.

[78]  N.K. Nikolova,et al.  An adjoint variable method for time-domain TLM with wide-band Johns matrix boundaries , 2004, IEEE Transactions on Microwave Theory and Techniques.

[79]  Yan Li,et al.  Sensitivity analysis of scattering parameters with electromagnetic time-domain simulators , 2006, IEEE Transactions on Microwave Theory and Techniques.

[80]  Mohamed H. Bakr,et al.  Efficient estimation of adjoint-variable S-parameter sensitivities with time domain TLM , 2005 .

[81]  Raphael T. Haftka,et al.  Surrogate-based Analysis and Optimization , 2005 .

[82]  John W. Bandler,et al.  Circuit optimization: the state of the art , 1988 .

[83]  J.W. Bandler,et al.  An Implicit Space Mapping Technique for Component Modeling , 2006, 2006 European Microwave Conference.

[84]  R. Rohrer,et al.  Automated Network Design-The Frequency-Domain Case , 1969 .

[85]  John W. Bandler,et al.  Wave Sensitivities of Networks , 1972 .

[86]  S. Glavic,et al.  Feasible adjoint sensitivity technique for EM design optimization , 2002, 2002 IEEE MTT-S International Microwave Symposium Digest (Cat. No.02CH37278).

[87]  S. H. Chen,et al.  Microstrip filter design using direct EM field simulation , 1994 .

[88]  N.K. Nikolova,et al.  An adjoint variable method for time-domain transmission-line modeling with fixed structured grids , 2004, IEEE Transactions on Microwave Theory and Techniques.