vi
Preface
of this project. Both of these algorithms are well-suited to the volume-integral
approach that is the basis of VIC-3D ® . 1
One interesting feature of set-theoretic estimation is that it is not an optimization
algorithm, such as NLSE or bilinear conjugate-gradients. Such algorithms require
derivatives, while set-theoretic estimation does not. In fact, we do not really invoke
the notion of ‘optimization’ until the very end of the algorithm, and then we do it on
a voxel-by-voxel basis using the robust estimators that are defined in [111, Chapter
13]. For this reason, we use the set-theoretic algorithm throughout the text.
Part II is the major portion of the book and deals with developing electromagnetic
models for characterizing a variety of materials, from carbon-fiber reinforced polymer (cfrp) advanced composites to atherosclerotic lesions. This includes developing
rigorous models for handling anisotropies and then applying the set-theoretic inversion algorithm to these materials. This plays a very significant role in such matters
as microstructure quantification problems, which are important in the manufacture
of cfrp prepregs, as well as in the analysis of completed structures. In addition,
we introduce such matters as studying stochastic models for anisotropic materials
that allow us to develop computational models for microstructure characterization,
among other things. Part II ends with a discussion of electromagnetic models for
biological tissue, which allows us to do such things as noninvasively detect and
characterize atherosclerotic lesions.
The last two chapters of the book deal with the application of quantum effects on
materials characterization. Chapter 11 deals with such things as paramagnetic spin
dynamics and the spin Hamiltonian. These things, of course, are fundamental to the
study of such practical systems as masers. Finally, in the last chapter, we begin the
development of electromagnetic models for carbon nanotube-reinforced polymers
through the use of quantum principles. These materials are finding application not
only in structures but also in electromagnetic devices. In both of these chapters, we
point out that the quantum calculations that are required to yield the electromagnetic
properties that VIC-3D ® requires are done off-line, and then these properties are
imported into VIC-3D ® to model the electromagnetic response of a device or
structure.
Bloomington, IN, USA
Harold A. Sabbagh
Bloomington, IN, USA
R. Kim Murphy
Bloomington, IN, USA
Elias H. Sabbagh
Hermitage, TN, USA
Liming Zhou
Hampton, VA, USA
Russell Wincheski
1 www.sabbagh.com.
Preface
of this project. Both of these algorithms are well-suited to the volume-integral
approach that is the basis of VIC-3D ® . 1
One interesting feature of set-theoretic estimation is that it is not an optimization
algorithm, such as NLSE or bilinear conjugate-gradients. Such algorithms require
derivatives, while set-theoretic estimation does not. In fact, we do not really invoke
the notion of ‘optimization’ until the very end of the algorithm, and then we do it on
a voxel-by-voxel basis using the robust estimators that are defined in [111, Chapter
13]. For this reason, we use the set-theoretic algorithm throughout the text.
Part II is the major portion of the book and deals with developing electromagnetic
models for characterizing a variety of materials, from carbon-fiber reinforced polymer (cfrp) advanced composites to atherosclerotic lesions. This includes developing
rigorous models for handling anisotropies and then applying the set-theoretic inversion algorithm to these materials. This plays a very significant role in such matters
as microstructure quantification problems, which are important in the manufacture
of cfrp prepregs, as well as in the analysis of completed structures. In addition,
we introduce such matters as studying stochastic models for anisotropic materials
that allow us to develop computational models for microstructure characterization,
among other things. Part II ends with a discussion of electromagnetic models for
biological tissue, which allows us to do such things as noninvasively detect and
characterize atherosclerotic lesions.
The last two chapters of the book deal with the application of quantum effects on
materials characterization. Chapter 11 deals with such things as paramagnetic spin
dynamics and the spin Hamiltonian. These things, of course, are fundamental to the
study of such practical systems as masers. Finally, in the last chapter, we begin the
development of electromagnetic models for carbon nanotube-reinforced polymers
through the use of quantum principles. These materials are finding application not
only in structures but also in electromagnetic devices. In both of these chapters, we
point out that the quantum calculations that are required to yield the electromagnetic
properties that VIC-3D ® requires are done off-line, and then these properties are
imported into VIC-3D ® to model the electromagnetic response of a device or
structure.
Bloomington, IN, USA
Harold A. Sabbagh
Bloomington, IN, USA
R. Kim Murphy
Bloomington, IN, USA
Elias H. Sabbagh
Hermitage, TN, USA
Liming Zhou
Hampton, VA, USA
Russell Wincheski
1 www.sabbagh.com.