Electromagnetic Pulse Propagation in Casual Dielectrics

1. Front Matter

   Pages I-XII

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2. Introduction

   • K. E. Oughstun, G. C. Sherman

   Pages 1-13

3. Fundamental Field Equations in a Temporally Dispersive Medium

   • K. E. Oughstun, G. C. Sherman

   Pages 14-52

4. The Angular Spectrum Representation of the Pulsed Radiation Field

   • K. E. Oughstun, G. C. Sherman

   Pages 53-104

5. The Angular Spectrum Representation of Pulsed Electromagnetic Beam Fields

   • K. E. Oughstun, G. C. Sherman

   Pages 105-156

6. Advanced Saddle-Point Methods for the Asymptotic Evaluation of Single Contour Integrals

   • K. E. Oughstun, G. C. Sherman

   Pages 157-191

7. Analysis of the Phase Function and Its Saddle Points

   • K. E. Oughstun, G. C. Sherman

   Pages 192-249

8. Evolution of the Precursor Fields

   • K. E. Oughstun, G. C. Sherman

   Pages 250-315

9. Evolution of the Main Signal

   • K. E. Oughstun, G. C. Sherman

   Pages 316-350

10. The Continuous Evolution of the Total Field

    • K. E. Oughstun, G. C. Sherman

    Pages 351-427

11. Physical Interpretation of the Pulse Dynamics

    • K. E. Oughstun, G. C. Sherman

    Pages 428-453

12. Back Matter

    Pages 455-467

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This research monograph presents a systematic treatment of the theory of the propagation of transient electromagnetic fields (such as optical pulses) through dielectric media which exhibit both dispersion and absorption. The work divides naturally into two parts. Part I presents a summary of the fundamental theory of the radiation and propagation of rather general electromagnetic waves in causal, linear media which are homogeneous and isotropic but which otherwise have rather general dispersive and absorbing properties. In Part II, we specialize on the propagation of a plane, transient electromagnetic field in a homogeneous dielectric. Although we have made some contributions to the fundamental theory given in Part I, most of the results of our own research appear in Part II. The purpose of the theory presented in Part II is to predict and to explain in explicit detail the dynamics of the field after it has propagated far enough through the medium to be in the mature-dispersion regime. It is the subject of a classic theory, based on the research conducted by A. Sommerfeld and L.

• Absorption
• Dispersion
• Electromagnetic fields and waves
• Propagation and transmission
• mathematical methods in physics
• optics
• polarization
• transmission

• College of Engineering and Mathematics, University of Vermont, Burlington, USA

  K. E. Oughstun

• Department of Physics, Fullerton College, Fullerton, USA

  G. C. Sherman

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