Edition 
1st ed. 
Physical description 
1 electronic text (viii, 115 pages : illustrations) : digital file. 

monochrome rdacc 
Series 
Synthesis lectures on computational electromagnetics, 19321716 ; [#1]


Synthesis lectures on computational electromagnetics. 19321716 ; #1.

Notes 
Part of: Synthesis digital library of engineering and computer science. 

Series from website. 
Bibliography 
Includes bibliographical references. 
Contents 
1. Introduction  1.1. Integral equations  1.2. The method of moments  2. The surface model  2.1. Differential geometry  2.2. Mapping from square cells using Lagrangian interpolation polynomials  2.3. A specific example : quadratic polynomials mapped from a square reference cell  2.4. Mapping from triangular cells via interpolation polynomials  2.5. Example : quadratic polynomials mapped from a triangular reference cell  2.6. Constraints on node distribution  2.7. Hermitian mapping from square cells  2.8. Connectivity  3. Divergenceconforming basis functions  3.1. Characteristics of vector fields and vector basis functions  3.2. What does divergenceconforming mean?  3.3. History of the use of divergenceconforming basis functions  3.4. Basis functions of order p = 0 for a square reference cell  3.5. Basis functions of order p = 0 for a triangular reference cell  3.6. Nedelec's mixedorder spaces and the EFIE  3.7. Higherorder interpolatory functions for square cells  3.8. Higherorder interpolatory functions for triangular cells  3.9. Higherorder hierarchical functions for square cells  3.10. Higherorder hierarchical functions for triangular cells  4. Curlconforming basis functions  4.1. What does curlconforming mean?  4.2. History of the use of curlconforming basis functions  4.3. Relation between the divergenceconforming and curlconforming functions  4.4. Basis functions of order p = 0 for a square reference cell  4.5. Basis functions of order p = 0 for a triangular reference cell  4.6. Higherorder interpolatory functions for square cells  4.7. Higherorder interpolatory functions for triangular cells  4.8. Higherorder hierarchical functions for square cells  4.9. Higherorder hierarchical functions for triangular cells  5. Transforming vector basis functions to curved cells  5.1. Base vectors and reciprocal base vectors  5.2. Jacobian relations  5.3. Representation of vector fields  5.4. Restriction to surfaces  5.5. Curlconforming basis functions on curvilinear cells  5.6. Divergenceconforming basis functions on curvilinear cells  5.7. The implementation of vector derivatives  5.8. Summary  6. Use of divergenceconforming basis functions with the electric field integral equation  6.1. Tested form of the EFIE  6.2. The subsectional model  6.3. Mapped MoM matrix entries  6.4. Normalization of divergenceconforming basis functions  6.5. Treatment of the singularity of the Green's function  6.6. Quadrature rules  6.7. Example : scattering cross section of a sphere  7. Use of curlconforming bases with the magnetic field integral equation  7.1. Tested form of the MFIE  7.2. Entries of the MoM matrix  7.3. Mapped MoM matrix entries  7.4. Normalization of curlconforming basis functions  7.5. Treatment of the singularity of the Green's function  7.6. Results. 
Restrictions 
Abstract freely available; fulltext restricted to subscribers or individual document purchasers. 
Summary 
The methodofmoments solution of the electric field and magnetic field integral equations (EFIE and MFIE) is extended to conducting objects modeled with curved cells. These techniques are important for electromagnetic scattering, antenna, radar signature, and wireless communication applications. Vector basis functions of the divergenceconforming and curlconforming types are explained, and specific interpolatory and hierarchical basis functions are reviewed. Procedures for mapping these basis functions from a reference domain to a curved cell, while preserving the desired continuity properties on curved cells, are discussed in detail. For illustration, results are presented for examples that employ divergenceconforming basis functions with the EFIE and curlconforming basis functions with the MFIE. The intended audience includes electromagnetic engineers with some previous familiarity with numerical techniques. 
Other formats 
Also available in print. 
System notes 
Mode of access: World Wide Web. 

System requirements: Adobe Acrobat Reader. 
Notes 
Title from PDF t.p. (viewed Oct. 19, 2008). 
Subject 
Boundary element methods.


Electromagnetism  Mathematical models.


Integral equations  Numerical solutions.


Moments method (Statistics)

Other uniform title 
Synthesis digital library of engineering and computer science.

Standard Number 
10.2200/S00008ED1V01Y200508CEM001 
ISBN 
1598290126 (electronic bk.) 

9781598290127 (electronic bk.) 
