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Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics (Paperback)
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Adaptive Mesh Refinement in Time-Domain Numerical Electromagnetics (Paperback)
Series: Synthesis Lectures on Computational Electromagnetics
Expected to ship within 10 - 15 working days
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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 in microwave/millimeter-wave and optical
engineering.
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