Wave Propagation
Autor N. D. Bellman, J. Vasudevanen Limba Engleză Hardback – 31 mar 1986
Preț: 622.37 lei
Preț vechi: 732.19 lei
-15%
Puncte Express: 934
Carte tipărită la comandă
Livrare economică 09-23 iulie
Livrare prin curier în România Termenul estimat este afișat lângă disponibilitate.
Transport gratuit pentru acest produs Plată online sau ramburs, în funcție de opțiunile comenzii.
Retur gratuit în 14 zile Comandă securizată și suport în română.
Specificații
ISBN-13: 9789027717665
ISBN-10: 9027717664
Pagini: 388
Ilustrații: XIV, 367 p.
Dimensiuni: 157 x 235 x 26 mm
Greutate: 0.71 kg
Ediția:1986
Editura: Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 9027717664
Pagini: 388
Ilustrații: XIV, 367 p.
Dimensiuni: 157 x 235 x 26 mm
Greutate: 0.71 kg
Ediția:1986
Editura: Springer
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
1 / Introduction.- 1. Introduction.- 2. Propagation of a Plane Electromagnetic Wave in a Stratified Medium.- 3. Basic Differential Equations of the Electromagnetic Field.- 4. Propagation of E.M. Waves through Multilayers.- 5. The Schrödinger Equation.- 6. The Rectangular Potential Barrier.- 7. The JWKB Solutions.- References.- II / Eikonal Equation and the WKB Approximation.- 1. Introduction.- 2. The Eikonal Expansion.- 3. Derivation of the Solution of the Schrödinger Equation using Matrix Methods.- 4. Asymptotic Behavior of the Solutions.- References.- III / Invariant Imbedding.- 1. Introduction.- 2. Invariant Imbedding Method.- 3. The Classical Approach.- 4. The Invariant Imbedding Approach for Particle Transport.- 5. Riccati Transformations.- 6. Linearization and Solution of the Riccati Equations.- 7. Conservation Relations.- 8. Scattering Matrix Formalism.- 9. Homogeneous Anisotropic Media Forming an Obstacle.- References.- IV / Application to the Wave Equation.- 1. Introduction.- 2. A Continuous Medium Problem.- 3. Bremmer Solutions.- 4. Coupled Differential and Integral Equations for the Two Beams.- 5. Convergence Properties of the Series Solutions.- 6. Bremmer Series Using Finite Order Scattering Reflection and Transmission Functions.- 7. Wave Equations with a Source Term.- References.- V / The Bremmer Series.- 1. Introduction.- 2. A New Type of Refractive Index Profile in Each Layer and the Reflection and Transmission Coefficients.- 3. Splitting of the Wave Function.- 4. Extensions to Other Types of Series.- References.- VI / Generalizations.- 1. Introduction.- 2. Method of Successive Diagonalization.- 3. Approximation to the Eikonal Solution Using Quasilinearization.- References.- VII / Time Dependent Processes.- 1. Introduction.- 2. Time Dependent TransportProblems.- 3. Transport Equation in the Limit of Large Velocities and Large ?.- 4. The Eigenvalue Problems.- 5. Eigenvalue Problems of Sturm-Liouville Systems.- 6. Time Dependent Wave Equation.- 7. Wiener Integrals.- References.- VIII / Asymptotic Properties.- 1. Introduction.- 2. Asymptotic Behavior of the Solutions of the Schrödinger Equation.- 3. The Phase Approach.- 4. Integral Equation Representation.- References.- IX / Operator Techniques.- 1. Introduction.- 2. The Baker-Campbell-Hausdorff Series.- 3. The Magnus Expansion.- 4. Higher Dimensional Wave Equations.- 5. Multidimensional Imbedding.- 6. Higher Order Equations.- References.- X / Variational Principles.- 1. Introduction.- 2. Bubnov-Galerkin Method.- 3. The Rayleigh-Ritz Method.- 4. Sturm-Liouville Theory.- 5. Rayleigh-Ritz Method and Physical Processes.- 6. The Maximum Functional.- 7. Dynamic Programming Method.- References.- XI / Dynamic Programming and Solution of Wave Equations.- 1. Introduction.- 2. Properties of the Green’s Function.- 3. The Sturm Oscillation Theorem and Unimodal Properties.- 4. Characteristic Values and Characteristic Functions.- 5. Determination of Characteristic Values of the Sturm-Liouville Equation.- 6. Another Type of Cauchy System for the Green’s Function and the Solution of Two Point Boundary Value Problem.- 7. Fredholm Resolvent.- 8. The Riccati Equation.- 9. Quasilinearization.- 10. The Cross-Ratio Relations.- 11. Matrix Riccati Equation and Auxiliary Functions.- References.- XII / Approximations.- 1. Introduction.- 2. Quadrature.- 3. Differential Quadrature.- 4. Determination of Weighting Coefficients.- 5. Higher Order Problems.- 6. Spline Approximation.- 7. Approximate Solutions.- 8. Segmental Curve Fitting.- 9. Dynamic Programming Approach.- 10. Splines Via DynamicProgramming.- 11. Derivation of Spline by Dynamic Programming.- 12. Equivalence of the Recursion Relations Obtained by Dynamic Programming and the Usual Results.- References.- Exercises and Notes.- Index of Names.- Index of Subjects.