Scattering, natural surfaces, and fractals [[electronic resource] /] / Giorgio Franceschetti and Daniele Riccio

• Record Nr.: UNINA9910458682403321
• Autore: Franceschetti Giorgio
• Pubbl/distr/stampa: Amsterdam ; ; Boston, : Elsevier Academic Press, c2006
• ISBN: 1-280-75144-4; 9786610751440; 0-08-046901-9
• Descrizione fisica: 1 online resource (307 p.)
• Altri autori (Persone): RiccioDaniele
• Disciplina: 530.14/1
• Soggetti: Electromagnetic waves - Scattering - Mathematical models; Surfaces (Physics) - Mathematical models; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Front cover; Scattering, Natural Surfaces and Fractals; Copyright page; Table of contents; Preface; Chapter 1. The Scattering Problem; 1.1. Introduction and Chapter Outline; 1.2. The Scattering-Problem Definition; 1.3. Motivations; 1.4. Surface Models and Electromagnetic Methods; 1.5. Deterministic versus Stochastic Models for the Natural Surfaces; 1.6. Deterministic versus Stochastic Evaluation for the Scattered Field; 1.7. Analytic versus Numerical Evaluation of the Scattered Field; 1.8. Closed-Form Evaluation of the Electromagnetic Field Scattered from a Natural Surface; 1.9. Book Outline; 1.10. References and Further ReadingsChapter 2. Surface Classical Models; 2.1. Introduction and Chapter Outline; 2.2. Fundamentals of Stochastic Processes; 2.3. Spectral Characterization of Stochastic Processes; 2.4. Isotropic Surfaces; 2.5. Classical Models for Natural Surfaces: First-Order Stochastic Characterization; 2.6. Classical Models for Natural Surfaces: Second-Order Stochastic Characterization; 2.7. Physical Counterpart of Natural-Surfaces Classical Parameters; 2.8. Surface Classical Models Selection for Electromagnetic Scattering; 2.9. References and Further Readings; Appendix 2.A Surface Classical ModelsChapter 3. Surface Fractal ; Models; 3.1. Introduction and Chapter Outline; 3.2. Fundamentals of Fractal Sets; 3.3. Mathematical versus Physical Fractal Sets; 3.4. Deterministic versus Stochastic Fractal Description of Natural Surfaces; 3.5. Fractional Brownian Motion Process; 3.6. Weierstrass-Mandelbrot Function; 3.7. Connection between fBm and WM Models; 3.8. A Chosen Reference Fractal Surface for the Scattering Problem; 3.9. Fractal-Surface Models and their Comparison with Classical Ones; 3.10. References and Further Readings; Appendix 3.A Generalized FunctionsAppendix 3.B Space-Frequency and Space-Scale Analysis of Nonstationary Signals; Chapter 4. Analytic Formulations of Electromagnetic Scattering; 4.1. Introduction and Chapter Outline; 4.2. Maxwell Equations; 4.3. The Integral-Equation Method; 4.4. Incident and Scattered-Field Coordinate-Reference Systems; 4.5. The Kirchhoff Approximation; 4.6. Physical-Optics Solution; 4.7. Extended-Boundary-Condition Method; 4.8. Small-Perturbation Method; 4.9. References and Further Readings; Chapter 5. Scattering from Weierstrass-Mandelbrot Surfaces: Physical-Optics Solution5.1. Introduction and Chapter Outline; 5.2. Analytic Derivation of the Scattered Field; 5.3. Scattered-Field Structure; 5.4. Limits of Validity; 5.5. Influence of Fractal and Electromagnetic Parameters over the Scattered Field; 5.6. Statistics of the Scattered Field; 5.7. References and Further Readings; Chapter 6. Scattering from Fractional Brownian Surfaces: Physical-Optics Solution; 6.1. Introduction and Chapter Outline; 6.2. Scattered Power-Density Evaluation; 6.3. Scattered Power Density; 6.4. Scattered Power Density: Special Cases
• Sommario/riassunto: This book provides a comprehensive overview of electromagnetic scattering from natural surfaces, ranging from the classical to the more recent (fractal) approach. As remote sensing applications become increasingly important, this text provides readers with a solid background in interpretation, classification and thematization of microwave images. The "scattering problem? is discussed in detail with emphasis on its application to electromagnetic wave propagation, remote sensing, radar detection, and electromagnetic diagnostics. Natural surface and fractals complete this treatise focusing on how