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710	2		_aSpringerLink (Online service) _9106996
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008			180726s2019 gw a o |||| 0|eng d
020			_a9783319963013
024	7		_a10.1007/978-3-319-96301-3 _2doi
040			_bspa _dES-MaUEC _cES-MaUEC
050		4	_aQC794.6 .S3 _b2019 EB
100	1		_aAngermann, Lutz _eautor _9670676
245	1	0	_aResonant Scattering and Generation of Waves : _bCubically Polarizable Layers _cby Lutz Angermann, Vasyl V. Yatsyk
264		1	_aCham _bSpringer International Publishing : _bImprint: Springer _c2019
300			_a1 recurso en línea (XX, 208 páginas) _b72 ilustraciones, 68 ilustraciones a color
336			_2rdacontent _aTexto _btxt
337			_2rdamedia _aelectrónico _bc
338			_2rdacarrier _arecurso electrónico _bcr
347			_atext file _bPDF
490	0		_aEngineering (Springer-11647)
490	0		_aMathematical Engineering _x2192-4732
505	0		_aThe mathematical model -- Maxwell's equations and wave propagation in media with nonlinear polarizability -- The reduced frequency-domain model -- The condition of phase synchronism -- Packets of plane waves -- Energy conservation laws -- Existence and uniqueness of a weak solution -- Weak formulation -- Existence and uniqueness of a weak solution -- The equivalent system of nonlinear integral equations -- The operator equation -- A sufficient condition for the existence of a continuous solution -- A sufficient condition for the existence of a unique continuous solution -- Relation to the system of nonlinear Sturm-Liouville boundary value problems -- Spectral analysis -- Motivation -- Eigen-modes of the linearized problems -- Spectral energy relationships and the quality factor of eigen-fields -- Numerical solution of the nonlinear boundary value problem -- The finite element method -- Existence and uniqueness of a finite element solution -- Error estimate -- Numerical treatment of the system of integral equations -- Numerical quadrature -- Iterative solution -- Numerical spectral analysis -- Numerical experiments -- Quantitative characteristics of the fields -- Description of the model problems -- The problem with the Kerr nonlinearity -- The self-consistent approach -- A single layer with negative cubic susceptibility -- A single layer with positive cubic susceptibility -- A three-layered structure -- Conclusion and outlook -- A Cubic polarization -- A.1 The case without any static field -- A.2 The case of a nontrivial static field -- B Tools from Functional Analysis -- B.1 Poincar´e-Friedrichs inequality -- B.2 Trace inequality -- B.3 Interpolation error estimates -- Notation -- References -- Index.
520	3		_aThis 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.
650		7	_2embne _9670679 _aDispersión (Física nuclear)
650		7	_2embne _9670680 _aReacciones nucleares
650		7	_2embne _9137955 _aFísica nuclear
700	1		_aYatsyk, Vasyl V. _eautor _9670678
776	0	8	_iPrinted edition: _z9783030071721
776	0	8	_iPrinted edition: _z9783319963006
776	0	8	_iPrinted edition: _z9783319963020
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=https://doi.org/10.1007/978-3-319-96301-3 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
942			_2lcc _cLE
988			_aPrimersemestre_2019_Engineering
998			_aSI _cm _dz _feng _ggw _h0 _b09/2019 _eel _zSI