Resonant scattering and generation of waves : cubically polarizable layers /: cubically polarizable layers. ([2019])

• Record Type: Book
• Further Information: Note: Lutz Angermann, Vasyl V. Yatsyk.
• Authors: Angermann, Lutz; Yatsyk, Vasyl V
• Contents: The mathematical model.- Maxwell's equations and wave propagation in media withnonlinear 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2019
• Copyright Date: 2019
• Extent: 1 online resource
• Subjects: 539.7/58; Physics; Scattering (Physics); SCIENCE / Physics / Quantum Theory; Scattering (Physics); Computers -- Computer Science; Technology & Engineering -- Material Science; Science -- Solid State Physics; Technology & Engineering -- Engineering (General); Computers -- Data Processing; Maths for scientists; Electronic devices & materials; Spectrum analysis, spectrochemistry, mass spectrometry; Maths for engineers; Mathematical theory of computation; Computer science; Optical materials; Engineering mathematics; Science -- Mathematical Physics; Mathematical physics; Electronic books
• Languages: English
• ISBNs: 9783319963013; 3319963015
• Related ISBNs: 9783319963006
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed August 2, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.