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.
Stephane Charruau is the author of Electromagnetism and Interconnections: Advanced Mathematical Tools for Computer-aided Simulation, published by Wiley.
Acknowledgements. Introduction. Chapter 1. Theoretical Foundations of Electromagnetism. 1.1. Elements of the theory of distributions applied to electromagnetism. 1.2. Vector analysis review according to the theory of distributions. 1.3. Maxwell's equations according to the theory of distributions. 1.4. Conclusion. Chapter 2. Full Wave Analysis. 2.1. Discontinuities in electromagnetism. 2.2. Potentials in electromagnetism. 2.3. Topology of electromagnetic interferences. 2.4. Conclusion. Chapter 3. Electromagnetism in Stratified Media. 3.1. Electrical and magnetic currents in stratified media. 3.2. Straight stratified media. 3.3. Conclusion. Chapter 4. Transmission Line Equations. 4.1. Straight homogenous dielectric media with lossless conductors. 4.2. TEM mode of wave propagation. 4.3. Quasi-TEM approximation for lossy conductors and dielectrics. 4.4. Weakly bent transmission lines in the quasi-TEM approximation. 4.5. Conclusion. Chapter 5. Direct Time-domain Methods. 5.1. "Direct" methods in the time domain. 5.2. Lossless coupled transmission lines in homogenous media. 5.3. Conclusion. Chapter 6. Discretization in the Time Domain. 6.1. Finite difference method in the time domain. 6.2. Matrix velocity operator interpolation method. 6.3. Conclusion. Chapter 7. Frequency Methods. 7.1. Laplace transform method for lossy transmission lines. 7.2. Coming back in the time domain. 7.3. Method of the discrete Fourier transform. 7.4. Conclusion. Chapter 8. Time-domain Wavelets. 8.1. Theoretical introduction. 8.2. Application to digital signal propagation. 8.3. Conclusion. Chapter 9. Applications of the Wavelet Method. 9.1. Coupled lossy transmission lines in the TEM approximation. 9.2. Extension to 3D wavelets and electromagnetic perturbations. 9.3. Conclusion. Appendices. Appendix A. Physical Data. Appendix B. Technological Data. Appendix C. Lineic Capacitors. Appendix D. Modified Relaxation Method. Appendix E. Cylindrical Wavelets. Appendix F. Wavelets and Elliptic Operators. References. Index.