Electromagnetic Analysis Using Transmission Line Variables

This latest edition continues the evolution toward the ultimate realization of a new technique for solving electromagnetic propagation problems. The technique combines the classical and intuitive use of a transmission line matrix (TLM) while striving for consistency with the guideposts demanded by quantum mechanics and the essential structure of electromagnetic theory. The matrix then becomes a useful vehicle for examining both coherent and noncoherent electromagnetic waves. The goal is a mathematical tool capable of solving problems related to the propagation of transient, high-speed, complex waveforms containing both symmetric and plane wave components. For such waveforms, standard classical electromagnetic theory is unable to provide a truly accurate solution since it does not properly account for the correlations among the various TLM cells. The correlations among neighboring TLM cells allow the cell waves to sense one another and to collectively participate as a coherent wave.

For arbitrary signals, e.g., complex, high speed, highly non-uniform signals, the correlation model must be placed on a firmer footing to insure the proper correlation strength based on the close adherence to quantum mechanical principles. The purpose of the Third Edition is to thereby improve the correlation model, and incorporate the model into the simulations. The simulation results thus obtained show great promise in describing the full range of electromagnetic phenomena. Wave divergence and diffraction simulations, employing both composite and shorter range correlation models, have been incorporated. The models employ correlation coefficients which may be linked with quantum mechanical parameters, thus providing a deeper understanding of coherent wave fronts.

Contents:

• Introduction to Transmission Lines and Their Application to Electromagnetic Phenomena
• Notation and Mapping of Physical Properties
• Scattering Equations
• Corrections for Plane Wave and Grid Anisotropy Effects
• Boundary Conditions and Dispersion
• Cell Discharge Properties and Integration of Transport Phenomena into the Transmission Line Matrix
• Description of TLM Iteration (includes Correlation/Decorrelation Effects)
• SPICE Solutions

Readership: Graduate students and researchers in applied physics and electrical engineering.
Key Features:

• Unique approach offering the potential for more accurate solutions compared to the standard approaches, especially in the treatment of fast risetime (picosecond) devices and transmitters, that may eventually supplant present standard electromagnetic methods, which have limited validity for very fast phenomena
• Employs the TLM method, that is very intuitive and physically appealing; thus providing a convenient means for incorporating correlation/decorrelation effects, which are relatable to quantum mechanical parameters
• Lists the Program Statements giving the reader a "hands-on" approach to the simulations, which will encourage readers to observe the effects of their own changes in the program