[FDTD][eBook]Adaptive Mesh Refinement for Time-Domain Numerical Electromagnetics

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0楼发表于: 2008-10-16 21:13:53

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ABSTRACT
This monograph is a comprehensive presentation of state-of-the-art methodologies that can
dramatically enhance the efficiency of the finite-difference time-domain (FDTD) technique,
the most popular electromagnetic field solver of the time-domain form of Maxwell’s equations.
These methodologies are aimed at optimally tailoring the computational resources needed for
the wideband simulation of microwave and optical structures to their geometry, as well as
the nature of the field solutions they support. That is achieved by the development of robust
“adaptive meshing” approaches, which amount to varying the total number of unknown field
quantities in the course of the simulation to adapt to temporally or spatially localized field
features. While mesh adaptation is an extremely desirable FDTD feature, known to reduce
simulation times by orders of magnitude, it is not always robust. The specific techniques presented
in this book are characterized by stability and robustness. Therefore, they are excellent
computer analysis and design (CAD) tools.
The book starts by introducing the FDTD technique, along with challenges related to
its application to the analysis of real-life microwave and optical structures. It then proceeds
to developing an adaptive mesh refinement method based on the use of multiresolution analysis
and, more specifically, the Haar wavelet basis. Furthermore, a new method to embed a
moving adaptive mesh in FDTD, the dynamically adaptive mesh refinement (AMR) FDTD
technique, is introduced and explained in detail. To highlight the properties of the theoretical
tools developed in the text, a number of applications are presented, including:
• Microwave integrated circuits (microstrip filters, couplers, spiral inductors, cavities).
• Optical power splitters, Y-junctions, and couplers
• Optical ring resonators
• Nonlinear optical waveguides.
Building on first principles of time-domain electromagnetic simulations, this book presents
advanced concepts and cutting-edge modeling techniques in an intuitive way for programmers,
engineers, and graduate students.
It is designed to provide a solid reference for highly efficient time-domain solvers, employed
in a wide range of exciting applications ..

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