The effect of curvature on the transition from laminar to turbulent boundary layer / / by Milton Clauser and Francis Clauser |
Autore | Clauser Milton |
Pubbl/distr/stampa | Washington, [D.C.] : , : National Advisory Committee for Aeronautics, , 1937 |
Descrizione fisica | 1 online resource (16 pages, 21 unnumbered pages) : illustrations |
Collana | Technical note / National Advisory Committee for Aeronautics |
Soggetto topico |
Airplanes - Wings - Testing
Surfaces (Physics) - Mathematical models Turbulent boundary layer - Mathematical models Laminar flow Turbulence |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910716729603321 |
Clauser Milton | ||
Washington, [D.C.] : , : National Advisory Committee for Aeronautics, , 1937 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Electromagnetic wave scattering from random rough surfaces : asymptotic models / / Nicolas Pinel, Christophe Bourlier |
Autore | Pinel Nicolás |
Pubbl/distr/stampa | London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2013 |
Descrizione fisica | 1 online resource (162 p.) |
Disciplina | 515.35 |
Altri autori (Persone) | BourlierChristophe |
Collana | Focus Series |
Soggetto topico |
Boundary value problems
Electromagnetic waves - Scattering - Mathematical models Surfaces (Physics) - Mathematical models |
ISBN |
1-118-57946-1
1-118-57915-1 1-118-57949-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Contents; Preface; Introduction; CHAPTER 1. ELECTROMAGNETIC WAVE SCATTERING FROM RANDOM ROUGH SURFACES: BASICS; 1.1. Introduction; 1.2. Generalities; 1.2.1. Maxwell equations and boundary conditions; 1.2.2. Propagation of a plane wave (Helmholtz equation and plane wave); 1.2.3. Incident wave at an interface: polarization; 1.3. Random rough surfaces: statistical description and electromagneticroughness; 1.3.1. Statistical description of random rough surfaces; 1.3.2. Specific case of sea surfaces; 1.3.3. Electromagnetic roughness and Rayleigh roughness criterion
1.4. Scattering of electromagnetic waves from rough surfaces: basics1.4.1. Presentation of the problem (2D/3D); 1.4.2. Huygens' principle and extinction theorem; 1.4.3. Green functions (2D/3D); 1.4.4. Scattered powers and scattering coefficients; CHAPTER 2. DERIVATION OF THE SCATTERED FIELD UNDER ASYMPTOTIC MODELS; 2.1. Bibliography on existing models; 2.1.1. Introduction; 2.1.2. Rigorous models; 2.1.3. Asymptotic models; 2.1.4. General properties of scattering; 2.1.5. A few details on the KA and the GO; 2.2. Scattering in reflection and transmission under the KA with shadowing effect 2.2.1. KA in reflection and transmission with shadowing effect for 2D problems2.2.2. Extension of the KA model to 3D problems; 2.3. Scattering in reflection for 3D problems under various asymptotic models; 2.3.1. Context and specific notations; 2.3.2. The small perturbation model; 2.3.3. The Kirchhoff approximation-high-frequency regime; 2.3.4. The weighted curvature approximation; 2.3.5. The small slope approximation; 2.3.6. The local curvature approximation; 2.3.7. The resonant curvature approximation; 2.3.8. Validation of the different asymptotic numerical models for 2D problems CHAPTER 3. DERIVATION OF THE NORMALIZED RADAR CROSS-SECTION UNDER ASYMPTOTIC MODELS3.1. Derivation of incoherent normalized radar cross-section under the GO for 2D problems; 3.1.1. Incoherent NRCS under the GO with shadowing effect for 2D problems; 3.1.2. Calculation of the bistatic shadowing functions in reflection and transmission; 3.2. General properties and energy conservation of the GO for 2D problems; 3.2.1. General properties of the GO for 2D problems; 3.2.2. Study of energy conservation under the GO for 2D problems 3.3. Scattering coefficients under the GO with shadowing effect for 3D problems3.4. Energy conservation of the GO model for 3D problems; 3.4.1. Case of a perfectly conducting lower medium; 3.4.2. Case of a lossless dielectric lower medium; 3.5. Scattering in reflection for 3D problems under various asymptotic models; 3.5.1. Expression of the NRCS under the SPM1; 3.5.2. Expression of the NRCS under the GO; 3.5.3. Expression of the NRCS under the SSA; 3.5.4. Validation and comparison of the different asymptotic analytical models for 2D problems 3.5.5. Comparison between numerical and analytical asymptotic models for 3D problems |
Record Nr. | UNINA-9910140187303321 |
Pinel Nicolás | ||
London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Electromagnetic wave scattering from random rough surfaces : asymptotic models / / Nicolas Pinel, Christophe Bourlier |
Autore | Pinel Nicolás |
Pubbl/distr/stampa | London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2013 |
Descrizione fisica | 1 online resource (162 p.) |
Disciplina | 515.35 |
Altri autori (Persone) | BourlierChristophe |
Collana | Focus Series |
Soggetto topico |
Boundary value problems
Electromagnetic waves - Scattering - Mathematical models Surfaces (Physics) - Mathematical models |
ISBN |
1-118-57946-1
1-118-57915-1 1-118-57949-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover; Title Page; Contents; Preface; Introduction; CHAPTER 1. ELECTROMAGNETIC WAVE SCATTERING FROM RANDOM ROUGH SURFACES: BASICS; 1.1. Introduction; 1.2. Generalities; 1.2.1. Maxwell equations and boundary conditions; 1.2.2. Propagation of a plane wave (Helmholtz equation and plane wave); 1.2.3. Incident wave at an interface: polarization; 1.3. Random rough surfaces: statistical description and electromagneticroughness; 1.3.1. Statistical description of random rough surfaces; 1.3.2. Specific case of sea surfaces; 1.3.3. Electromagnetic roughness and Rayleigh roughness criterion
1.4. Scattering of electromagnetic waves from rough surfaces: basics1.4.1. Presentation of the problem (2D/3D); 1.4.2. Huygens' principle and extinction theorem; 1.4.3. Green functions (2D/3D); 1.4.4. Scattered powers and scattering coefficients; CHAPTER 2. DERIVATION OF THE SCATTERED FIELD UNDER ASYMPTOTIC MODELS; 2.1. Bibliography on existing models; 2.1.1. Introduction; 2.1.2. Rigorous models; 2.1.3. Asymptotic models; 2.1.4. General properties of scattering; 2.1.5. A few details on the KA and the GO; 2.2. Scattering in reflection and transmission under the KA with shadowing effect 2.2.1. KA in reflection and transmission with shadowing effect for 2D problems2.2.2. Extension of the KA model to 3D problems; 2.3. Scattering in reflection for 3D problems under various asymptotic models; 2.3.1. Context and specific notations; 2.3.2. The small perturbation model; 2.3.3. The Kirchhoff approximation-high-frequency regime; 2.3.4. The weighted curvature approximation; 2.3.5. The small slope approximation; 2.3.6. The local curvature approximation; 2.3.7. The resonant curvature approximation; 2.3.8. Validation of the different asymptotic numerical models for 2D problems CHAPTER 3. DERIVATION OF THE NORMALIZED RADAR CROSS-SECTION UNDER ASYMPTOTIC MODELS3.1. Derivation of incoherent normalized radar cross-section under the GO for 2D problems; 3.1.1. Incoherent NRCS under the GO with shadowing effect for 2D problems; 3.1.2. Calculation of the bistatic shadowing functions in reflection and transmission; 3.2. General properties and energy conservation of the GO for 2D problems; 3.2.1. General properties of the GO for 2D problems; 3.2.2. Study of energy conservation under the GO for 2D problems 3.3. Scattering coefficients under the GO with shadowing effect for 3D problems3.4. Energy conservation of the GO model for 3D problems; 3.4.1. Case of a perfectly conducting lower medium; 3.4.2. Case of a lossless dielectric lower medium; 3.5. Scattering in reflection for 3D problems under various asymptotic models; 3.5.1. Expression of the NRCS under the SPM1; 3.5.2. Expression of the NRCS under the GO; 3.5.3. Expression of the NRCS under the SSA; 3.5.4. Validation and comparison of the different asymptotic analytical models for 2D problems 3.5.5. Comparison between numerical and analytical asymptotic models for 3D problems |
Record Nr. | UNINA-9910820286803321 |
Pinel Nicolás | ||
London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Scattering, natural surfaces, and fractals [[electronic resource] /] / Giorgio Franceschetti and Daniele Riccio |
Autore | Franceschetti Giorgio |
Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Academic Press, c2006 |
Descrizione fisica | 1 online resource (307 p.) |
Disciplina | 530.14/1 |
Altri autori (Persone) | RiccioDaniele |
Soggetto topico |
Electromagnetic waves - Scattering - Mathematical models
Surfaces (Physics) - Mathematical models |
Soggetto genere / forma | Electronic books. |
ISBN |
1-280-75144-4
9786610751440 0-08-046901-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910458682403321 |
Franceschetti Giorgio | ||
Amsterdam ; ; Boston, : Elsevier Academic Press, c2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Scattering, natural surfaces, and fractals [[electronic resource] /] / Giorgio Franceschetti and Daniele Riccio |
Autore | Franceschetti Giorgio |
Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Academic Press, c2006 |
Descrizione fisica | 1 online resource (307 p.) |
Disciplina | 530.14/1 |
Altri autori (Persone) | RiccioDaniele |
Soggetto topico |
Electromagnetic waves - Scattering - Mathematical models
Surfaces (Physics) - Mathematical models |
ISBN |
1-280-75144-4
9786610751440 0-08-046901-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910784642503321 |
Franceschetti Giorgio | ||
Amsterdam ; ; Boston, : Elsevier Academic Press, c2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Scattering, natural surfaces, and fractals / / Giorgio Franceschetti and Daniele Riccio |
Autore | Franceschetti Giorgio |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Amsterdam ; ; Boston, : Elsevier Academic Press, c2006 |
Descrizione fisica | 1 online resource (307 p.) |
Disciplina | 530.14/1 |
Altri autori (Persone) | RiccioDaniele |
Soggetto topico |
Electromagnetic waves - Scattering - Mathematical models
Surfaces (Physics) - Mathematical models |
ISBN |
1-280-75144-4
9786610751440 0-08-046901-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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 |
Record Nr. | UNINA-9910825420403321 |
Franceschetti Giorgio | ||
Amsterdam ; ; Boston, : Elsevier Academic Press, c2006 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|