## Quick Finite Elements for Electromagnetic WavesThe classic 1998 Artech House book, Quick Finite Elements for Electromagnetic Waves, has now been revised and expanded to bring you up-to-date with the latest developments in the Field. You find brand new discussions on finite elements in 3D, 3D resonant cavities, and 3D waveguide devices. Moreover, the second edition supplies you with MATLAB code, making this resource easier to comprehend and use for your projects in the field. This practical book and accompanying software enables you to quickly and easily work out challenging microwave engineering and high-frequency electromagnetic problems using the finite element method (FEM). Using clear, concise text and dozens of real-world application examples, the book provides a detailed description of FEM implementation, while the software provides the code and tools needed to solve the three major types of EM problems: guided propagation, scattering, and radiation. With this unique book and software set in hand, you can compute the dispersion diagram of arbitrarily shaped inhomogeneous isotropic lossless or lossy guiding structures, analyze E- and H-plane waveguide discontinuities and devices, and understand the reflection from and transmission through simple 2D and 3D inhomogeneous periodic structures. CD-ROM Included! Easy-to-use finite element software contains ready-made MATLAB and FORTRAN source code that you can use immediately to solve a wide range of microwave and EM problems. The package is fully compatible with Internet "freeware, " so you can perform advanced engineering functions without having to purchase expensive pre- and post-processing tools. |

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### Contents

3 | |

7 | |

12 | |

15 | |

Minimizing the Functional | 17 |

Postprocessing | 19 |

16 Variational or Projective? | 22 |

References | 23 |

54 Some Examples | 118 |

55 Disc Content | 125 |

References | 126 |

Scattering and Antennas Absorbing Boundary Conditions | 129 |

61 Analytic ABC | 130 |

Formulation with Analytic ABC | 132 |

Implementation | 134 |

64 The Concept of Perfectly Matched Anisotropic Absorber | 136 |

Tools | 25 |

211 Input Geometry Description File | 26 |

212 Output Description File | 30 |

213 Mesh Regularization | 32 |

214 Numbering Optimization | 33 |

22 Element Matrices | 35 |

221 Nodal Elements | 36 |

222 Vector Elements | 44 |

23 Global Matrices | 46 |

231 The Band Storage Mode | 47 |

232 The Sparse Storage Mods | 48 |

24 Solving the Entire Problem | 49 |

26 The Matlab Framework | 51 |

261 Using the Interface | 53 |

262 The Data Framework | 54 |

263 How to Code Yourself | 55 |

27 Disc Description and Installation | 56 |

272 Matlab Framework | 57 |

Microwave Guiding Structures Characterization | 59 |

32 Inhomogeneous Waveguides | 64 |

Formulation | 65 |

34 Numerical Implementation | 69 |

Waveguides | 71 |

36 Some Examples | 74 |

37 Disc Content | 80 |

References | 81 |

Microwave Guiding Structures Devices and Circuits | 83 |

HPlane Case | 84 |

EPlane Case | 87 |

43 Implementation | 89 |

44 The Code EHDEV | 92 |

45 Some Examples | 96 |

46 Disc Content | 101 |

462 MATLAB | 102 |

References | 103 |

Scattering and Antennas Hybrid Methods | 105 |

Formulation | 107 |

52 Numerical Implementation | 114 |

53 The Code GRATING | 116 |

Formulation Using PMA | 140 |

66 PMA Implementation | 143 |

67 The Code CYL | 144 |

Some Examples | 146 |

69 The Code OWG | 149 |

Some Examples | 152 |

611 Disc Content | 158 |

6111 FORTRAN | 159 |

6112 Matlab | 160 |

Three Dimensions | 163 |

Finite Elements in Three Dimensions | 165 |

711 Input Geometry Description File | 166 |

712 Output Mesh Description File | 170 |

72 Element Matrices | 172 |

721 Nodal Elements | 174 |

722 Vector Elements | 181 |

73 Global Matrices | 186 |

75 Disc Content | 188 |

References | 189 |

Resonant Cavities | 191 |

82 Numerical Implementation | 197 |

83 The Code Cavity | 198 |

Some Examples | 200 |

85 Disc Content | 208 |

Waveguide Devices | 211 |

92 Numerical Implementaion | 219 |

93 The Code WDEV | 223 |

94 Some Examples | 230 |

95 Disc Content | 236 |

To Probe Further | 239 |

Selected Bibliography | 241 |

102 Scientific Literature | 243 |

1022 Microwave Circuits and Devices | 245 |

1023 Radial Propagation | 247 |

103 Advanced Topics and Methodologies in Finite Elements | 250 |

References | 253 |

About the Authors | 275 |

Index | 279 |

### Other editions - View all

Quick Finite Elements for Electromagnetic Waves Giuseppe Pelosi,Roberto Coccioli,Stefano Selleri No preview available - 2009 |

### Common terms and phrases

analysis Analytic ABC approximation basis functions cavity CD-ROM Chapter code CYL coefficients column vector computational domain contour defined degrees of freedom derivative described device dielectric dielectric slab dimensions Dirichlet boundary condition Disc Content E-plane edge EHDEV eigenvalue problem electric field element matrices enforced entries example expansion expressed Figure finite element finite element method Finite-Difference Time-Domain Method first-order elements formulation FORTRAN free-space frequency geometry global guiding structure H-plane junctions h(k)xwg Helmholtz equation hence Implementation inhomogeneous input file Integer number interface label LAPACK line integrals linear magnetic field Matlab numbering scheme obtained one-line tag periodic structure permittivity plane polynomials port propagation constant quadrilateral elements recast rectangular waveguide region W1 respectively scalar scattered field second-order shape functions simplex coordinates solution solve subroutine surface Table tangential component tetrahedron three-dimensional TM modes transverse triangle unknown vertex wave waveguide weak form weighted residual procedure weighting functions