Electromagnetic Pulse Propagation in Casual Dielectrics

The subject of this monograph is two-fold: Part I provides a detailed, rigorous treatment of the fundamental theory of electromagnetic pulse propagation in causally dispersive media that is applicable to dielectric, conducting, or semiconducting media. Part II provides a detailed asymptotic description of plane wave pulse propagation in a causal dielectric and provides a rigorous account of the signal velocity of a pulse in a dispersive medium.

I: Fundamental Theory.- 1. Introduction.- I: Fundamental Theory.- 2. Fundamental Field Equations in a Temporally Dispersive Medium.- 3. The Angular Spectrum Representation of the Pulsed Radiation Field.- 4. The Angular Spectrum Representation of Pulsed Electromagnetic Beam Fields.- 5. Advanced Saddle-Point Methods for the Asymptotic Evaluation of Single Contour Integrals.- II: Asymptotic Theory of Plane Wave Pulse Propagation in a Single Resonance Lorentz Medium.- 6. Analysis of the Phase Function and Its Saddle Points.- 7. Evolution of the Precursor Fields.- 8. Evolution of the Main Signal.- 9. The Continuous Evolution of the Total Field.- 10. Physical Interpretation of the Pulse Dynamics.- References.