The Nystrom Method In Electromagnetics

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The Nystrom Method in Electromagnetics

Author : Mei Song Tong
Publisher : John Wiley & Sons
ISBN 13 : 1119284848
Total Pages : 522 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis The Nystrom Method in Electromagnetics by : Mei Song Tong

Download or read book The Nystrom Method in Electromagnetics written by Mei Song Tong and published by John Wiley & Sons. This book was released on 2020-08-10 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, step-by-step reference to the Nyström Method for solving Electromagnetic problems using integral equations Computational electromagnetics studies the numerical methods or techniques that solve electromagnetic problems by computer programming. Currently, there are mainly three numerical methods for electromagnetic problems: the finite-difference time-domain (FDTD), finite element method (FEM), and integral equation methods (IEMs). In the IEMs, the method of moments (MoM) is the most widely used method, but much attention is being paid to the Nyström method as another IEM, because it possesses some unique merits which the MoM lacks. This book focuses on that method—providing information on everything that students and professionals working in the field need to know. Written by the top researchers in electromagnetics, this complete reference book is a consolidation of advances made in the use of the Nyström method for solving electromagnetic integral equations. It begins by introducing the fundamentals of the electromagnetic theory and computational electromagnetics, before proceeding to illustrate the advantages unique to the Nyström method through rigorous worked out examples and equations. Key topics include quadrature rules, singularity treatment techniques, applications to conducting and penetrable media, multiphysics electromagnetic problems, time-domain integral equations, inverse scattering problems and incorporation with multilevel fast multiple algorithm. Systematically introduces the fundamental principles, equations, and advantages of the Nyström method for solving electromagnetic problems Features the unique benefits of using the Nyström method through numerical comparisons with other numerical and analytical methods Covers a broad range of application examples that will point the way for future research The Nystrom Method in Electromagnetics is ideal for graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics. Practicing engineers and other industry professionals working in engineering electromagnetics and engineering mathematics will also find it to be incredibly helpful.

An Introduction to the Locally-corrected Nyström Method

Author : Andrew F. Peterson
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1608452999
Total Pages : 116 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis An Introduction to the Locally-corrected Nyström Method by : Andrew F. Peterson

Download or read book An Introduction to the Locally-corrected Nyström Method written by Andrew F. Peterson and published by Morgan & Claypool Publishers. This book was released on 2010 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

An Introduction to the Locally Corrected Nystrom Method

Author : Andrew Peterson
Publisher : Springer Nature
ISBN 13 : 3031017102
Total Pages : 103 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis An Introduction to the Locally Corrected Nystrom Method by : Andrew Peterson

Download or read book An Introduction to the Locally Corrected Nystrom Method written by Andrew Peterson and published by Springer Nature. This book was released on 2022-05-31 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities

The Nystrom Method in Electromagnetics

Author : Mei Song Tong
Publisher : John Wiley & Sons
ISBN 13 : 1119284880
Total Pages : 528 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis The Nystrom Method in Electromagnetics by : Mei Song Tong

Download or read book The Nystrom Method in Electromagnetics written by Mei Song Tong and published by John Wiley & Sons. This book was released on 2020-06-29 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, step-by-step reference to the Nyström Method for solving Electromagnetic problems using integral equations Computational electromagnetics studies the numerical methods or techniques that solve electromagnetic problems by computer programming. Currently, there are mainly three numerical methods for electromagnetic problems: the finite-difference time-domain (FDTD), finite element method (FEM), and integral equation methods (IEMs). In the IEMs, the method of moments (MoM) is the most widely used method, but much attention is being paid to the Nyström method as another IEM, because it possesses some unique merits which the MoM lacks. This book focuses on that method—providing information on everything that students and professionals working in the field need to know. Written by the top researchers in electromagnetics, this complete reference book is a consolidation of advances made in the use of the Nyström method for solving electromagnetic integral equations. It begins by introducing the fundamentals of the electromagnetic theory and computational electromagnetics, before proceeding to illustrate the advantages unique to the Nyström method through rigorous worked out examples and equations. Key topics include quadrature rules, singularity treatment techniques, applications to conducting and penetrable media, multiphysics electromagnetic problems, time-domain integral equations, inverse scattering problems and incorporation with multilevel fast multiple algorithm. Systematically introduces the fundamental principles, equations, and advantages of the Nyström method for solving electromagnetic problems Features the unique benefits of using the Nyström method through numerical comparisons with other numerical and analytical methods Covers a broad range of application examples that will point the way for future research The Nystrom Method in Electromagnetics is ideal for graduate students, senior undergraduates, and researchers studying engineering electromagnetics, computational methods, and applied mathematics. Practicing engineers and other industry professionals working in engineering electromagnetics and engineering mathematics will also find it to be incredibly helpful.

Computational Electromagnetics

Author : Raj Mittra
Publisher : Springer Science & Business Media
ISBN 13 : 1461443822
Total Pages : 707 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Computational Electromagnetics by : Raj Mittra

Download or read book Computational Electromagnetics written by Raj Mittra and published by Springer Science & Business Media. This book was released on 2013-08-20 with total page 707 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emerging Topics in Computational Electromagnetics in Computational Electromagnetics presents advances in Computational Electromagnetics. This book is designed to fill the existing gap in current CEM literature that only cover the conventional numerical techniques for solving traditional EM problems. The book examines new algorithms, and applications of these algorithms for solving problems of current interest that are not readily amenable to efficient treatment by using the existing techniques. The authors discuss solution techniques for problems arising in nanotechnology, bioEM, metamaterials, as well as multiscale problems. They present techniques that utilize recent advances in computer technology, such as parallel architectures, and the increasing need to solve large and complex problems in a time efficient manner by using highly scalable algorithms.

Proceedings of the 1992 URSI International Symposium on Electromagnetic Theory

Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Proceedings of the 1992 URSI International Symposium on Electromagnetic Theory by :

Download or read book Proceedings of the 1992 URSI International Symposium on Electromagnetic Theory written by and published by . This book was released on 1992 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Finite Element Method for Electromagnetic Modeling

Author : Gérard Meunier
Publisher : John Wiley & Sons
ISBN 13 : 0470393807
Total Pages : 618 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis The Finite Element Method for Electromagnetic Modeling by : Gérard Meunier

Download or read book The Finite Element Method for Electromagnetic Modeling written by Gérard Meunier and published by John Wiley & Sons. This book was released on 2010-01-05 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by specialists of modeling in electromagnetism, this book provides a comprehensive review of the finite element method for low frequency applications. Fundamentals of the method as well as new advances in the field are described in detail. Chapters 1 to 4 present general 2D and 3D static and dynamic formulations by the use of scalar and vector unknowns and adapted interpolations for the fields (nodal, edge, face or volume). Chapter 5 is dedicated to the presentation of different macroscopic behavior laws of materials and their implementation in a finite element context: anisotropy and hysteretic properties for magnetic sheets, iron losses, non-linear permanent magnets and superconductors. More specific formulations are then proposed: the modeling of thin regions when finite elements become misfit (Chapter 6), infinite domains by using geometrical transformations (Chapter 7), the coupling of 2D and 3D formulations with circuit equations (Chapter 8), taking into account the movement, particularly in the presence of Eddy currents (Chapter 9) and an original approach for the treatment of geometrical symmetries when the sources are not symmetric (Chapter 10). Chapters 11 to 13 are devoted to coupled problems: magneto-thermal coupling for induction heating, magneto-mechanical coupling by introducing the notion of strong and weak coupling and magneto-hydrodynamical coupling focusing on electromagnetic instabilities in fluid conductors. Chapter 14 presents different meshing methods in the context of electromagnetism (presence of air) and introduces self-adaptive mesh refinement procedures. Optimization techniques are then covered in Chapter 15, with the adaptation of deterministic and probabilistic methods to the numerical finite element environment. Chapter 16 presents a variational approach of electromagnetism, showing how Maxwell equations are derived from thermodynamic principles.

Computational Methods for Electromagnetic Phenomena

Author : Wei Cai
Publisher : Cambridge University Press
ISBN 13 : 1107021057
Total Pages : 463 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Computational Methods for Electromagnetic Phenomena by : Wei Cai

Download or read book Computational Methods for Electromagnetic Phenomena written by Wei Cai and published by Cambridge University Press. This book was released on 2013-01-03 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book of its kind to cover a wide range of computational methods for electromagnetic phenomena, from atomistic to continuum scales, this integrated and balanced treatment of mathematical formulations, algorithms and the underlying physics enables us to engage in innovative and advanced interdisciplinary computational research.

Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects

Author : Andrew Peterson
Publisher :
ISBN 13 : 9788303101716
Total Pages : 0 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects by : Andrew Peterson

Download or read book Double-Grid Finite-Difference Frequency-Domain (DG-FDFD) Method for Scattering from Chiral Objects written by Andrew Peterson and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities.

Numerical Methods in Electromagnetism

Author : M. V.K. Chari
Publisher : Academic Press
ISBN 13 : 012615760X
Total Pages : 783 pages
Book Rating : 4.1/5 (261 download)

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Book Synopsis Numerical Methods in Electromagnetism by : M. V.K. Chari

Download or read book Numerical Methods in Electromagnetism written by M. V.K. Chari and published by Academic Press. This book was released on 2000 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electromagnetics is the foundation of our electric technology. It describes the fundamental principles upon which electricity is generated and used. This includes electric machines, high voltage transmission, telecommunication, radar, and recording and digital computing. Numerical Methods in Electromagnetism will serve both as an introductory text for graduate students and as a reference book for professional engineers and researchers. This book leads the uninitiated into the realm of numerical methods for solving electromagnetic field problems by examples and illustrations. Detailed descriptions of advanced techniques are also included for the benefit of working engineers and research students. Comprehensive descriptions of numerical methods In-depth introduction to finite differences, finite elements, and integral equations Illustrations and applications of linear and nonlinear solutions for multi-dimensional analysis Numerical examples to facilitate understanding of the methods Appendices for quick reference of mathematical and numerical methods employed

The Method of Moments in Electromagnetics

Author : Walton C. Gibson
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781420061451
Total Pages : 0 pages
Book Rating : 4.0/5 (614 download)

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Book Synopsis The Method of Moments in Electromagnetics by : Walton C. Gibson

Download or read book The Method of Moments in Electromagnetics written by Walton C. Gibson and published by Chapman and Hall/CRC. This book was released on 2007-11-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Responding to the need for a clear, up-to-date introduction to the field, The Method of Moments in Electromagnetics explores surface integral equations in electromagnetics and presents their numerical solution using the method of moments (MOM) technique. It provides the numerical implementation aspects at a nuts-and-bolts level while discussing integral equations and electromagnetic theory at a higher level. The author covers a range of topics in this area, from the initial underpinnings of the MOM to its current applications. He first reviews the frequency-domain electromagnetic theory and then develops Green’s functions and integral equations of radiation and scattering. Subsequent chapters solve these integral equations for thin wires, bodies of revolution, and two- and three-dimensional problems. The final chapters examine the contemporary fast multipole method and describe some commonly used methods of numerical integration, including the trapezoidal rule, Simpson’s rule, area coordinates, and Gaussian quadrature on triangles. The text derives or summarizes the matrix elements used in every MOM problem and explains the approach used in and results of each example. This book provides both the information needed to solve practical electromagnetic problems using the MOM and the knowledge necessary to understand more advanced topics in the field.

The Method of Moments in Electromagnetics, Second Edition

Author : Walton C. Gibson
Publisher : CRC Press
ISBN 13 : 148223579X
Total Pages : 451 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis The Method of Moments in Electromagnetics, Second Edition by : Walton C. Gibson

Download or read book The Method of Moments in Electromagnetics, Second Edition written by Walton C. Gibson and published by CRC Press. This book was released on 2014-07-10 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now Covers Dielectric Materials in Practical Electromagnetic Devices The Method of Moments in Electromagnetics, Second Edition explains the solution of electromagnetic integral equations via the method of moments (MOM). While the first edition exclusively focused on integral equations for conducting problems, this edition extends the integral equation framework to treat objects having conducting as well as dielectric parts. New to the Second Edition Expanded treatment of coupled surface integral equations for conducting and composite conducting/dielectric objects, including objects having multiple dielectric regions with interfaces and junctions Updated topics to reflect current technology More material on the calculation of near fields Reformatted equations and improved figures Providing a bridge between theory and software implementation, the book incorporates sufficient background material and offers nuts-and-bolts implementation details. It first derives a generalized set of surface integral equations that can be used to treat problems with conducting and dielectric regions. Subsequent chapters solve these integral equations for progressively more difficult problems involving thin wires, bodies of revolution, and two- and three-dimensional bodies. After reading this book, students and researchers will be well equipped to understand more advanced MOM topics.

Generalized Moment Methods in Electromagnetics

Author : Johnson J. H. Wang
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Generalized Moment Methods in Electromagnetics by : Johnson J. H. Wang

Download or read book Generalized Moment Methods in Electromagnetics written by Johnson J. H. Wang and published by Wiley-Interscience. This book was released on 1991-01-22 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now available for the first time in print are the new concepts and insights developed over the last three decades in the broad class of computational techniques called the methods of moment. Designed to serve as both a professional reference and graduate-level textbook, it will be useful in calculations for electromagnetic problems related to, among others, antennas, scattering microwaves, radars and imaging. Also included are problems for students, with the solutions available.

Electromagnetic Reciprocity in Antenna Theory

Author : Martin Stumpf
Publisher : John Wiley & Sons
ISBN 13 : 1119466407
Total Pages : 158 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Electromagnetic Reciprocity in Antenna Theory by : Martin Stumpf

Download or read book Electromagnetic Reciprocity in Antenna Theory written by Martin Stumpf and published by John Wiley & Sons. This book was released on 2017-11-08 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a self-contained account on applications of electromagnetic reciprocity theorems to multiport antenna systems The reciprocity theorem is among the most intriguing concepts in wave field theory and has become an integral part of almost all standard textbooks on electromagnetic (EM) theory. This book makes use of the theorem to quantitatively describe EM interactions concerning general multiport antenna systems. It covers a general reciprocity-based description of antenna systems, their EM scattering properties, and further related aspects. Beginning with an introduction to the subject, Electromagnetic Reciprocity in Antenna Theory provides readers first with the basic prerequisites before offering coverage of the equivalent multiport circuit antenna representations, EM coupling between multiport antenna systems and their EM interactions with scatterers, accompanied with the corresponding EM compensation theorems. In addition, the text: Presents basic prerequisites including the definition of the notation, integral transformations, and EM reciprocity theorems in their general form Explores multiport antenna forward-scattering theorem, multiport antenna matching theorem and uniqueness theorem Supplements each chapter with a solved illustrative example Electromagnetic Reciprocity in Antenna Theory is an excellent text for EMC and antenna researchers and students of the subject as well.

The Finite Element Method in Electromagnetics

Author : Jian-Ming Jin
Publisher : John Wiley & Sons
ISBN 13 : 1118842022
Total Pages : 728 pages
Book Rating : 4.1/5 (188 download)

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Book Synopsis The Finite Element Method in Electromagnetics by : Jian-Ming Jin

Download or read book The Finite Element Method in Electromagnetics written by Jian-Ming Jin and published by John Wiley & Sons. This book was released on 2015-02-18 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of the leading textbook on the finite element method, incorporating major advancements and further applications in the field of electromagnetics The finite element method (FEM) is a powerful simulation technique used to solve boundary-value problems in a variety of engineering circumstances. It has been widely used for analysis of electromagnetic fields in antennas, radar scattering, RF and microwave engineering, high-speed/high-frequency circuits, wireless communication, electromagnetic compatibility, photonics, remote sensing, biomedical engineering, and space exploration. The Finite Element Method in Electromagnetics, Third Edition explains the method’s processes and techniques in careful, meticulous prose and covers not only essential finite element method theory, but also its latest developments and applications—giving engineers a methodical way to quickly master this very powerful numerical technique for solving practical, often complicated, electromagnetic problems. Featuring over thirty percent new material, the third edition of this essential and comprehensive text now includes: A wider range of applications, including antennas, phased arrays, electric machines, high-frequency circuits, and crystal photonics The finite element analysis of wave propagation, scattering, and radiation in periodic structures The time-domain finite element method for analysis of wideband antennas and transient electromagnetic phenomena Novel domain decomposition techniques for parallel computation and efficient simulation of large-scale problems, such as phased-array antennas and photonic crystals Along with a great many examples, The Finite Element Method in Electromagnetics is an ideal book for engineering students as well as for professionals in the field.

International Conference on Computation in Electromagnetics, 25-27 November 1991

Author :
Publisher :
ISBN 13 :
Total Pages : 412 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis International Conference on Computation in Electromagnetics, 25-27 November 1991 by :

Download or read book International Conference on Computation in Electromagnetics, 25-27 November 1991 written by and published by . This book was released on 1991 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Electromagnetic Scattering: A Remote Sensing Perspective

Author : Yang Du
Publisher : World Scientific
ISBN 13 : 9813209984
Total Pages : 410 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Electromagnetic Scattering: A Remote Sensing Perspective by : Yang Du

Download or read book Electromagnetic Scattering: A Remote Sensing Perspective written by Yang Du and published by World Scientific. This book was released on 2017-03-08 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Remote sensing is a fast-growing field with many important applications as demonstrated in the numerous scientific missions of the Earth Observation System (EOS) worldwide. Given the inter-disciplinary nature of remote sensing technologies, the fulfillment of these scientific goals calls for, among other things, a fundamental understanding of the complex interaction between electromagnetic waves and the targets of interest.Using a systematic treatment, Electromagnetic Scattering: A Remote Sensing Perspective presents some of the recently advanced methods in electromagnetic scattering, as well as updates on the current progress on several important aspects of such an interaction. The book covers topics including scattering from random rough surfaces of both terranean and oceanic natures, scattering from typical man-made targets or important canonical constituents of natural scenes, such as a dielectric finite cylinder or dielectric thin disk, the characterization of a natural scene as a whole represented as a random medium, and the extraction of target features with a polarimetric radar.