INFRARED AND MILLIMETER WAVES: ELECTROMAGNETIC WAVES IN MATTER
1 Introduction to sensitivity analysis approaches 1 11 Introduction 1 12 Finite difference approximations 2 13 Adjoint sensitivity analysis of linear systems 6 References 25 2 Introduction to FDTD 27 21 Basic equations 27 22 FDTD updating equations for three-dimensional space 29 23 FDTD updating equations for two-dimensional space 37 24 FDTD updating equations for one-dimensional space 40 25 Dispersive material modeling 41 251 Modeling Lorentz medium using ADE technique 42 252 Modeling Drude medium using ADE technique 44 26 Anisotropic material modeling 44 References 47 3 The adjoint variable method for frequency-independent constitutive parameters 49 31 Introduction 49 32 The 1D case 50 33 The 2D TM case 62 34 The 3D AVM algorithm 85 References 98 4 Sensitivity analysis for frequency-dependent objective functions 99 41 The monochromatic case 99 42 The wideband case 107 43 The self-adjoint case 122 References 132 5 Transient adjoint sensitivity analysis 133 51 The single time-response case 133 52 The complete transient response case 138 53 An alternative formulation 142 References 150 6 Adjoint sensitivity analysis with dispersive materials 151 61 The general dispersive material case 151 611 The Lorentz model 155 612 The Drude model 156 613 The Debye model 156 62 Implementation 157 References 173 7 Adjoint sensitivity analysis of anisotropic structures 175 71 AVM for anisotropic materials 175 72 Implementation 177 References 190 8 Nonlinear adjoint sensitivity analysis 193 81 Nonlinear AVM 193 82 Implementation 196 References 218 9 Second-order adjoint sensitivities 221 91 Hessian finite difference evaluation 221 92 A hybrid adjoint technique 224 93 The fully adjoint approach 230 931 Implementation 232 932 The algorithm 235 References 246 10 Advanced topics 247 101 AVM improvements 247 1011 Coarse spatial sampling 248 1012 Spectral sampling 250 102 AVM for other numerical techniques 253 1021 The TLM method 253 1022 Frequency domain methods 256 103 Applications 260 References 260