Preface |
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ix | |
The Author |
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xi | |
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1 | (18) |
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1 | (1) |
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2 | (6) |
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Hybrid Electromagnetic Systems |
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8 | (5) |
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13 | (6) |
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Electromagnetic Field Theory |
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19 | (48) |
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19 | (1) |
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20 | (25) |
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20 | (3) |
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23 | (1) |
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24 | (1) |
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25 | (3) |
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28 | (1) |
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Magnetic vector Potential |
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29 | (1) |
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30 | (3) |
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Wave equations and field retardation |
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33 | (7) |
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Time-harmonic field solution |
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40 | (2) |
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42 | (3) |
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Example of Solving Electromagnetic Field Distribution |
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45 | (22) |
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Circuit Equivalence and Transmission Line Theory |
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67 | (44) |
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Circuit Theory as Field Approximation |
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67 | (21) |
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Circuit basis under quasi-static approximation |
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67 | (4) |
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Circuit equations for some lumped elements |
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71 | (7) |
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Circuit model at different frequency ranges |
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78 | (4) |
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Transient response of a lumped circuit |
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82 | (6) |
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88 | (17) |
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General transmission line solution |
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89 | (7) |
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Lossless transmission line |
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96 | (5) |
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Lumped-element equivalent model for a transmission line |
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101 | (4) |
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Scattering Parameters of an n-port Network |
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105 | (6) |
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Definition of S Parameters |
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105 | (4) |
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Definitions of other network parameters |
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109 | (2) |
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Finite-Difference Formulation |
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111 | (68) |
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111 | (2) |
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113 | (8) |
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Forward, backward and central differences |
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113 | (5) |
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Finite-difference approximation in a nonuniform grid |
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118 | (3) |
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System Solution and Stability Condition |
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121 | (20) |
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Jacobian matrix and system solution |
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121 | (2) |
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123 | (4) |
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127 | (14) |
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Solving Electromagnetic Fields in the Time Domain-FDTD Method |
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141 | (1) |
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Finite-Difference Time-Domain Method |
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142 | (12) |
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142 | (2) |
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Three-dimensional FDTD formulation |
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144 | (7) |
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Two-dimensional FDTD formulation |
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151 | (3) |
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Issues of FDTD Numerical Implementation |
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154 | (19) |
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154 | (2) |
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Absorbing boundary conditions |
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156 | (8) |
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Unconditionally stable FDTD algorithm |
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164 | (4) |
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Numerical dispersion in FDTD |
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168 | (5) |
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Examples of FDTD Application |
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173 | (6) |
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Circuit Formulation and Computer Simulation |
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179 | (44) |
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179 | (1) |
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Constitutive Relation of Devices |
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180 | (11) |
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Modified Nodal Formulation of Circuit Simulation |
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191 | (6) |
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Transient Analysis of Linear Circuit |
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197 | (6) |
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Nonlinear Device Models in Circuit Simulation |
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203 | (9) |
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204 | (2) |
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Bipolar Junction transistor model |
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206 | (3) |
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209 | (3) |
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Newton Method for Solving Systems with Nonlinear Devices |
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212 | (4) |
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Timestep Control in Transient Simulation |
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216 | (7) |
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Formulation for Hybrid System Simulation in the Time Domain |
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223 | (32) |
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223 | (2) |
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Maxwell's Equations and Supplemental Current Equations |
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225 | (6) |
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Hybrid Circuit Simulation with Lumped Elements |
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231 | (11) |
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FDTD equations for RLC components |
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231 | (8) |
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Examples of hybrid circuit simulation |
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239 | (3) |
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Electron Beam in FDTD Simulation |
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242 | (13) |
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Interaction between electromagnetic field and an electron beam |
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242 | (1) |
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FDTD algorithm for modeling an electron beam |
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243 | (2) |
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Electron-beam modeling for a planar DC diode |
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245 | (4) |
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Small-signal space-charge waves in FDTD |
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249 | (6) |
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Interfacing FDTD Field Solver with Lumped Systems |
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255 | (34) |
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255 | (3) |
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Linking FDTD Method with a SPICE-like Circuit Simulator |
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258 | (9) |
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Equivalent circuit model of a distributed system |
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258 | (3) |
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Implementation of the circuit-field model for hybrid simulation |
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261 | (4) |
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Example of the circuit-field model in FDTD |
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265 | (2) |
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Modeling a Multiport S-Parameter Network in FDTD |
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267 | (11) |
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Scattering parameters, port voltage, and port current |
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268 | (4) |
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Modeling a S-parameter block in FDTD grid |
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272 | (6) |
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Multiport Behavioral Model in FDTD |
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278 | (3) |
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278 | (1) |
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Behavioral model block in an FDTD grid |
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279 | (2) |
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Examples of General Hybrid System Cosimulation |
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281 | (8) |
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Simulation of Hybrid Electromagnetic Systems |
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289 | (40) |
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289 | (1) |
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FDTD Characterization and De-embedding |
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290 | (5) |
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Examples of Hybrid System Cosimulation |
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295 | (25) |
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295 | (2) |
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Application of the circuit-field model |
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297 | (10) |
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Application of the multiport model |
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307 | (5) |
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General hybrid system cosimulation |
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312 | (8) |
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Analysis of Packaging Structure with On-chip Circuits |
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320 | (9) |
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Analysis of packaging structures |
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321 | (3) |
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Simulation of packaging structures with on-chip circuits |
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324 | (5) |
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Optical Device Simulation in FDTD |
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329 | (28) |
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329 | (2) |
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Active Gain Media in VCSEL |
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331 | (5) |
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FDTD Formulation for Systems with Nonlinear Gain Media |
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336 | (3) |
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FDTD Analysis of VCSEL Structures |
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339 | (12) |
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One-dimensional structures |
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339 | (4) |
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Gain media in 2D structures |
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343 | (8) |
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Cosimulation for VCSEL Source and other Circuits |
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351 | (6) |
Appendix I Vector Differential Operators and Vector Identities |
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357 | (4) |
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I.1 Vector Differential Operators |
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357 | (1) |
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358 | (3) |
Appendix II Laplace Transformation |
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361 | (8) |
References |
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369 | (22) |
Index |
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