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Resonant Scattering and Generation of Waves - Cubically Polarizable Layers (Hardcover, 1st ed. 2019)
Loot Price: R3,852
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Resonant Scattering and Generation of Waves - Cubically Polarizable Layers (Hardcover, 1st ed. 2019)
Series: Mathematical Engineering
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Total price: R3,872
Discovery Miles: 38 720
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This monograph deals with theoretical aspects and numerical
simulations of the interaction of electromagnetic fields with
nonlinear materials. It focuses in particular on media with
nonlinear polarization properties. It addresses the direct problem
of nonlinear Electrodynamics, that is to understand the nonlinear
behavior in the induced polarization and to analyze or even to
control its impact on the propagation of electromagnetic fields in
the matter. The book gives a comprehensive presentation of the
results obtained by the authors during the last decade and put
those findings in a broader, unified context and extends them in
several directions.It is divided into eight chapters and three
appendices. Chapter 1 starts from the Maxwell's equations and
develops a wave propagation theory in plate-like media with
nonlinear polarizability. In chapter 2 a theoretical framework in
terms of weak solutions is given in order to prove the existence
and uniqueness of a solution of the semilinear boundary-value
problem derived in the first chapter. Chapter 3 presents a
different approach to the solvability theory of the reduced
frequency-domain model. Here the boundary-value problem is reduced
to finding solutions of a system of one-dimensional nonlinear
Hammerstein integral equations. Chapter 4 describes an approach to
the spectral analysis of the linearized system of integral
equations. Chapters 5 and 6 are devoted to the numerical
approximation of the solutions of the corresponding mathematical
models. Chapter 7 contains detailed descriptions, discussions and
evaluations of the numerical experiments. Finally, chapter 8 gives
a summary of the results and an outlook for future work.
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