The analysis of nonlinear hybrid electromagnetic systems poses significant challenges that essentially demand reliable numerical methods. In recent years, research has shown that finite-difference time-domain (FDTD) cosimulation techniques hold great potential for future designs and analyses of electrical systems.
Time-Domain Computer Analysis of Nonlinear Hybrid Systems summarizes and reviews more than 10 years of research in FDTD cosimulation. It first provides a basic overview of the electromagnetic theory, the link between field theory and circuit theory, transmission line theory, finite-difference approximation, and analog circuit simulation. The author then extends the basic theory of FDTD cosimulation to focus on techniques for time-domain field solving, analog circuit analysis, and integration of other lumped systems, such as n-port nonlinear circuits, into the field-solving scheme.
The numerical cosimulation methods described in this book and proven in various applications can effectively simulate hybrid circuits that other techniques cannot. By incorporating recent, new, and previously unpublished results, this book effectively represents the state of the art in FDTD techniques. More detailed studies are needed before the methods described are fully developed, but the discussions in this book build a good foundation for their future perfection.
Introduction
Electromagnetic Systems
Hybrid Electromagnetic Systems
Organization of the Book
ELECTROMAGNETIC FIELD THEORY
Introduction
Electromagnetic Theory
Example of Solving Electromagnetic Field Distribution
CIRCUIT EQUIVALENCE AND TRANSMISSION LINE THEORY
Circuit Theory as Field Approximation
Transmission Line Theory
Scattering Parameters of an n-Port Network
FINITE-DIFFERENCE FORMULATION
Introduction
Finite-Difference Method
System Solution and Stability Condition
SOLVING ELECTROMAGNETIC FIELDS IN THE TIME DOMAIN-FDTD METHOD
Introduction
Finite-Difference Time-Domain (FDTD) Method
Issues of FDTD Numerical Implementation
Examples of FDTD Application
CIRCUIT FORMULATION AND COMPUTER SIMULATION
Introduction
Constitutive Relation of Devices
Modified Nodal Formulation of Circuit Simulation
Transient Analysis of Linear Circuit
Nonlinear Device Models in Circuit Simulation
Newton Method for Solving System with Nonlinear Devices
Timestep Control in Transient Simulation
FORMULATION FOR HYBRID SYSTEM SIMULATION IN THE TIME DOMAIN
Introduction
Maxwell's Equations and Supplemental Current Equations
Hybrid Circuit Simulation with Lumped Elements
Electron Beam in FDTD Simulation
INTERFACING FDTD FIELD SOLVER WITH LUMPED SYSTEMS
Introduction
Linking FDTD Method with a SPICE-Like Circuit Simulator
Modeling a Multiport S-Parameter Network in FDTD
Multiport Behavioral Model in FDTD
Examples of General Hybrid System Cosimulation
SIMULATION OF HYBRID ELECTROMAGNETIC SYSTEMS
Introduction
FDTD Characterization and De-Embedding
Examples of Hybrid System Cosimulation
Analysis of Packaging Structure with On-Chip Circuit
OPTICAL DEVICE SIMULATION IN FDTD
Introduction
Active Gain Media in VCSEL
FDTD Formulation for Systems with Nonlinear Gain Media
FDTD Analysis of VCSEL Structure
Cosimulation for VCSEL Source and Other Circuits
Appendix I: Vector Differential Operators and Vector Identities
Appendix II: Laplace Transformation
REFERENCES
Index
Biography
Sui, Wenquan
"…Easy to read, concise, and complete."
-Alfy Riddle, IEEE Microwave Magazine
