Buch, Englisch, 312 Seiten, Format (B × H): 155 mm x 234 mm, Gewicht: 576 g
Advanced Mathematical Tools for Computer-Aided Simulation
Buch, Englisch, 312 Seiten, Format (B × H): 155 mm x 234 mm, Gewicht: 576 g
ISBN: 978-1-84821-107-0
Verlag: Wiley
Electromagnetism and Interconnections: Advanced Mathematical Tools for Computer-aided Simulation
This book covers the theoretical problems of modeling electrical behavior of the interconnections encountered in everyday electronic products. The coverage shows the theoretical tools of waveform prediction at work in the design of a complex and high-speed digital electronic system. Scientists, research engineers, and postgraduate students interested in electromagnetism, microwave theory, electrical engineering, or the development of simulation tools software for high speed electronic system design automation will find this book an illuminating resource.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
Acknowledgements xi
Introduction xiii
Chapter 1. Theoretical Foundations of Electromagnetism 1
1.1. Elements of the theory of distributions applied to electromagnetism 1
1.2. Vector analysis review according to the theory of distributions 11
1.3. Maxwell's equations according to the theory of distributions 14
1.4. Conclusion 24
Chapter 2. Full Wave Analysis 25
2.1. Discontinuities in electromagnetism 25
2.2. Potentials in electromagnetism 33
2.3. Topology of electromagnetic interferences 42
2.4. Conclusion 50
Chapter 3. Electromagnetism in Stratified Media 51
3.1. Electrical and magnetic currents in stratified media 52
3.2. Straight stratified media 67
3.3. Conclusion 84
Chapter 4. Transmission Line Equations 85
4.1. Straight homogenous dielectric media with lossless conductors 86
4.2. TEM mode of wave propagation 104
4.3. Quasi-TEM approximation for lossy conductors and dielectrics 122
4.4. Weakly bent transmission lines in the quasi-TEM approximation 126
4.5. Conclusion 130
Chapter 5. Direct Time-domain Methods 131
5.1. "Direct" methods in the time domain 132
5.2. Lossless coupled transmission lines in homogenous media 143
5.3. Conclusion 162
Chapter 6. Discretization in the Time Domain 163
6.1. Finite difference method in the time domain 163
6.2. Matrix velocity operator interpolation method 179
6.3. Conclusion 187
Chapter 7. Frequency Methods 189
7.1. Laplace transform method for lossy transmission lines 190
7.2. Coming back in the time domain 202
7.3. Method of the discrete Fourier transform 210
7.4. Conclusion 217
Chapter 8. Time-domain Wavelets 219
8.1. Theoretical introduction 219
8.2. Application to digital signal propagation 226
8.3. Conclusion 241
Chapter 9. Applications of the Wavelet Method 243
9.1. Coupled lossy transmission lines in the TEM approximation 243
9.2. Extension to 3D wavelets and electromagnetic perturbations 256
9.3. Conclusion 262
Appendices 263
Appendix A. Physical Data 263
Appendix B. Technological Data 267
Appendix C. Lineic Capacitors 269
Appendix D. Modified Relaxation Method 275
Appendix E. Cylindrical Wavelets 277
Appendix F. Wavelets and Elliptic Operators 281
References 287
Index 291
