This book presents the theory of adjoint sensitivity analysis for high frequency applications through time-domain electromagnetic simulations in MATLAB®. Using the popular Finite-Difference Time-Domain (FDTD) method, the book shows how wideband sensitivities can be efficiently estimated for different types of materials and structures.
This unique reference is the first to cover the theory of adjoint sensitivity analysis and explains how it can be applied to different types of electromagnetic structures. It is an invaluable book for anyone looking for an in-depth understanding of this useful theory for application in high-frequency electromagnetic problems. It uses the popular FDTD method to show how wideband sensitivities can be efficiently estimated for different types of materials and structures, and includes plenty of well-explained MATLAB® examples to help readers absorb the content more easily.
Topics covered include a review of FDTD and an introduction to adjoint sensitivity analysis; sensitivity of the fields to changes in material parameters; sensitivity of S parameters; extension to dispersive material parameters, where the underlying FDTD algorithm must be modified; second-order sensitivity analysis; time-domain responses; and applications to nonlinear and anisotropic materials.
This book will make the theory more understandable to the broadest possible audience. It will be useful for researchers and advanced students involved in computational techniques for electromagnetics, and other disciplines such as microwave, optics, acoustics, and semiconductor modelling.
| Preface |
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ix | |
| Acknowledgments |
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xi | |
| Ebook Version and MATLAB Codes |
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xii | |
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1 Introduction to sensitivity analysis approaches |
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1 | (26) |
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1 | (1) |
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1.2 Finite difference approximations |
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2 | (4) |
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1.3 Adjoint sensitivity analysis of linear systems |
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6 | (21) |
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25 | (2) |
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27 | (22) |
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27 | (2) |
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2.2 FDTD updating equations for three-dimensional space |
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29 | (8) |
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2.3 FDTD updating equations for two-dimensional space |
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37 | (3) |
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2.4 FDTD updating equations for one-dimensional space |
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40 | (1) |
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2.5 Dispersive material modeling |
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41 | (3) |
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2.5.1 Modeling Lorentz medium using ADE technique |
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42 | (2) |
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2.5.2 Modeling Drude medium using ADE technique |
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44 | (1) |
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2.6 Anisotropic material modeling |
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44 | (5) |
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47 | (2) |
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3 The adjoint variable method for frequency-independent constitutive parameters |
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49 | (50) |
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49 | (1) |
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50 | (12) |
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62 | (23) |
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85 | (14) |
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98 | (1) |
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4 Sensitivity analysis for frequency-dependent objective functions |
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99 | (34) |
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4.1 The monochromatic case |
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99 | (8) |
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107 | (15) |
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4.3 The self-adjoint case |
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122 | (11) |
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132 | (1) |
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5 Transient adjoint sensitivity analysis |
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133 | (18) |
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5.1 The single time-response case |
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133 | (5) |
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5.2 The complete transient response case |
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138 | (4) |
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5.3 An alternative formulation |
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142 | (9) |
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150 | (1) |
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6 Adjoint sensitivity analysis with dispersive materials |
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151 | (24) |
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6.1 The general dispersive material case |
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151 | (6) |
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155 | (1) |
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156 | (1) |
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156 | (1) |
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157 | (18) |
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173 | (2) |
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7 Adjoint sensitivity analysis of anisotropic structures |
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175 | (18) |
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7.1 AVM for anisotropic materials |
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175 | (2) |
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177 | (16) |
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190 | (3) |
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8 Nonlinear adjoint sensitivity analysis |
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193 | (28) |
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193 | (3) |
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196 | (25) |
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218 | (3) |
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9 Second-order adjoint sensitivities |
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221 | (26) |
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9.1 Hessian finite difference evaluation |
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221 | (3) |
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9.2 A Hybrid Adjoint Technique |
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224 | (6) |
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9.3 The fully adjoint approach |
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230 | (17) |
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232 | (3) |
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235 | (11) |
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246 | (1) |
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247 | (16) |
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247 | (6) |
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10.1.1 Coarse spatial sampling |
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248 | (2) |
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250 | (3) |
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10.2 AVM for other numerical techniques |
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253 | (7) |
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253 | (3) |
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10.2.2 Frequency domain methods |
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256 | (4) |
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260 | (3) |
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260 | (3) |
| Index |
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263 | |
Mohamed H. Bakr is a Professor of Electrical and Computer Engineering, McMaster University, Canada. He is a senior member of IEEE and a member of ACES and OSA. He authored/ co-authored over 220 journal and conference publications, 2 books, and 2 book chapters. He is associate editor of the IEEE Transactions on Antennas and Propagation.
Atef Z. Elsherbeni is the Dobelman Distinguished Chair Professor and the Electrical Engineering Department Head at Colorado School of Mines. He was President of the Applied Computational Electromagnetics Society, ACES, from 2013 to 2015, is a Fellow of the IEEE and ACES, Editor-in-Chief for ACES Journal, and a past Associate Editor to the Radio Science Journal. He has advised/co-advised 21 PhD and 33 MS students, 4 postdoctoral fellows, and 5 visiting professors.
Veysel Demir is an associate professor at the Department of Electrical Engineering at Northern Illinois University. He is a member of IEEE, ACES, and SigmaXi, has co-authored more than 50 technical journal and conference papers, and served as a technical program co-chair for the 2014 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting and for the ACES 2015 conference.
