05423nam 2200661Ia 450 991045868240332120200520144314.01-280-75144-497866107514400-08-046901-9(CKB)1000000000364358(EBL)285776(OCoLC)476037229(SSID)ssj0000241635(PQKBManifestationID)11176289(PQKBTitleCode)TC0000241635(PQKBWorkID)10297744(PQKB)11310616(MiAaPQ)EBC285776(PPN)151033773(Au-PeEL)EBL285776(CaPaEBR)ebr10160344(CaONFJC)MIL75144(EXLCZ)99100000000036435820060727d2006 uy 0engur|n|---|||||txtccrScattering, natural surfaces, and fractals[electronic resource] /Giorgio Franceschetti and Daniele RiccioAmsterdam ;Boston Elsevier Academic Pressc20061 online resource (307 p.)Description based upon print version of record.0-12-265655-5 Includes bibliographical references and index.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 Outline1.10. 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 ReadingsAppendix 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 ReadingsAppendix 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 ReadingsChapter 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 Density6.4. Scattered Power Density: Special CasesThis 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 howElectromagnetic wavesScatteringMathematical modelsSurfaces (Physics)Mathematical modelsElectronic books.Electromagnetic wavesScatteringMathematical models.Surfaces (Physics)Mathematical models.530.14/1Franceschetti Giorgio808Riccio Daniele28232MiAaPQMiAaPQMiAaPQBOOK9910458682403321Scattering108385UNINA