Method of moments for 2d scattering problems : basic concepts and applications / Christophe Bourlier, Nicolas Pinel, Gildas Kubické.

Format:

Book

Author/Creator:

Bourlier, Christophe.

Contributor:

Pinel, Nicolás.

Kubické, Gildas.

International Society for Technology in Education.

Series:

Focus series in waves.

Focus waves series, 2051-2481

Language:

English

Subjects (All):

Electromagnetic waves--Scattering--Mathematical models.

Electromagnetic waves.

Physical Description:

1 online resource (162 p.)

Edition:

1st ed.

Place of Publication:

Hoboken, N.J. : ISTE Ltd/John Wiley and Sons Inc, 2013.

Language Note:

English

Summary:

Electromagnetic wave scattering from randomly rough surfaces in the presence of scatterers is an active, interdisciplinary area of research with myriad practical applications in fields such as optics, acoustics, geoscience and remote sensing.In this book, the Method of Moments (MoM) is applied to compute the field scattered by scatterers such as canonical objects (cylinder or plate) or a randomly rough surface, and also by an object above or below a random rough surface. Since the problem is considered to be 2D, the integral equations (IEs) are scalar and only the TE (transverse elect

Contents:

Cover; Title Page; Contents; Preface; Introduction; Chapter 1. Integral Equations For A Single Scatterer: Method Of Moments And Rough Surfaces; 1.1. Introduction; 1.2. Integral equations; 1.2.1. TE and TM polarizations and boundary conditions; 1.2.2. Electric and magnetic currents for a 2D problem; 1.2.3. Huygens' principle and extinction theorem; 1.2.4. Radar cross-section (RCS); 1.2.5. Normalized radar cross-section (NRCS); 1.3. Method of moments with point-matching method; 1.4. Application to a surface; 1.4.1. The Dirichlet boundary conditions; 1.4.2. The Neumann boundary conditions

1.4.3. General case 1.4.4. Impedance boundary condition; 1.5. Forward-Backward (FB) method; 1.6. Random rough surface generation; 1.6.1. Statistical parameters; 1.6.2. Generation of a random profile; 1.6.3. Simulations; 1.6.4. Conclusion; Chapter 2. Validation of the Method of Moments for a Single Scatterer; 2.1. Introduction; 2.2. Solutions of a scattering problem; 2.3. Comparison with the exact solution of a circular cylinder in free space; 2.3.1. Solution of the Helmholtz equation; 2.3.2. Dirichlet boundary conditions; 2.3.3. Neumann boundary conditions; 2.3.4. Dielectric cylinder

2.3.5. MoM for an elliptical cylinder 2.3.6. Numerical comparisons for a circular cylinder; 2.3.7. Conclusion; 2.4. PO approximation; 2.4.1. Formulation; 2.4.2. Applications; 2.4.3. Sea-like surface; 2.5. FB method; 2.6. Conclusion; Chapter 3. Scattering from two Illuminated Scatterers; 3.1. Introduction; 3.2. Integral equations and method of moments; 3.2.1. Integral equations for two scatterers; 3.2.2. Method of moments for two scatterers; 3.2.3. Method of moments for P scatterers; 3.3. Efficient inversion of the impedance matrix: E-PILE method for two scatterers

3.3.1. Mathematical formulation 3.3.2. Numerical results; 3.4. E-PILE method combined with PO and FB; 3.4.1. E-PILE hybridized with FB; 3.4.2. E-PILE hybridized with PO; 3.5. Conclusion; Chapter 4. Scattering from two Scatterers Where Only one is Illuminated; 4.1. Introduction; 4.2. Integral equations and method of moments; 4.2.1. Integral equations; 4.2.2. Method of moments; 4.2.3. Case for which scatterer 2 is perfectly conducting; 4.2.4. Numerical results; 4.3. Efficient inversion of the impedance matrix: PILE method; 4.3.1. Mathematical formulation; 4.3.2. Numerical results

4.4. PILE method combined with FB or PO4.4.1. PILE hybridized with FB; 4.4.2. PILE hybridized with PO; 4.5. Conclusion; Appendix. Matlab Codes; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9781118648681

1118648684

9781118648674

1118648676

9781118648698

1118648692

OCLC:

862047233