LEADER 05423nam 2200661Ia 450 001 9910458682403321 005 20200520144314.0 010 $a1-280-75144-4 010 $a9786610751440 010 $a0-08-046901-9 035 $a(CKB)1000000000364358 035 $a(EBL)285776 035 $a(OCoLC)476037229 035 $a(SSID)ssj0000241635 035 $a(PQKBManifestationID)11176289 035 $a(PQKBTitleCode)TC0000241635 035 $a(PQKBWorkID)10297744 035 $a(PQKB)11310616 035 $a(MiAaPQ)EBC285776 035 $a(PPN)151033773 035 $a(Au-PeEL)EBL285776 035 $a(CaPaEBR)ebr10160344 035 $a(CaONFJC)MIL75144 035 $a(EXLCZ)991000000000364358 100 $a20060727d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aScattering, natural surfaces, and fractals$b[electronic resource] /$fGiorgio Franceschetti and Daniele Riccio 210 $aAmsterdam ;$aBoston $cElsevier Academic Press$dc2006 215 $a1 online resource (307 p.) 300 $aDescription based upon print version of record. 311 $a0-12-265655-5 320 $aIncludes bibliographical references and index. 327 $aFront 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 327 $a1.10. 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 327 $aAppendix 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 327 $aAppendix 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 327 $aChapter 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 327 $a6.4. Scattered Power Density: Special Cases 330 $aThis 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 606 $aElectromagnetic waves$xScattering$xMathematical models 606 $aSurfaces (Physics)$xMathematical models 608 $aElectronic books. 615 0$aElectromagnetic waves$xScattering$xMathematical models. 615 0$aSurfaces (Physics)$xMathematical models. 676 $a530.14/1 700 $aFranceschetti$b Giorgio$0808 701 $aRiccio$b Daniele$028232 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910458682403321 996 $aScattering$9108385 997 $aUNINA