Electromagnetic and Optical Pulse Propagation 2
Temporal Pulse Dynamics in Dispersive, Attenuative Media
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Chapter
The Angular Spectrum Representation of the Pulsed Radiation Field in Spatially and Temporally Dispersive Media
Attention is now directed to the rigorous solution of the electromagnetic field that is radiated by a general current source in a homogeneous, anisotropic, locally linear, spatially and temporally dispersive m...
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Chapter
Free Fields in Temporally Dispersive Media
If there are no sources of an electromagnetic field present anywhere in space during a period of time, then that field is said to be a free-field during that time. The detailed properties of such free-fields we...
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Chapter
Asymptotic Methods of Analysis Using Advanced Saddle Point Techniques
The integral representation developed in Volume 1 provides an exact, formal solution to the problem of electromagnetic pulse propagation in homogeneous, isotropic, locally linear, temporally dispersive media e...
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Chapter
Analysis of the Phase Function and Its Saddle Points
In preparation for the asymptotic analysis of the exact Fourier-Laplace integral representation given either in Eq. (11.45).
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Chapter
Evolution of the Signal
The contribution A c(z, t) to the asymptotic behavior of the propagated plane wave field A(z, t) that is due to the presence of any simple pole singularities of the spectral function
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Chapter
Microscopic Electromagnetics
A mathematically rigorous, physically based development of the classical theory of electromagnetism is introduced here through a consideration of the microscopic Maxwell–Lorentz theory. Although the Lorentz th...
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Chapter
Physical Interpretations of Dispersive Pulse Dynamics
The causally interrelated effects of phase dispersion and absorption on the evolution of an electromagnetic pulse as it propagates through a homogeneous linear dielectric, particularly when the pulse is ultra-...
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Chapter
Macroscopic Electromagnetics
In the classical Maxwell–Lorentz theory, matter is regarded as being composed of point charges (e.g., point electrons and point protons and nuclei) that produce microscopic electric and magnetic fields. The mi...
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Chapter
Plane Wave Reflection and Refraction
A practical problem of fundamental importance in electromagnetic wave theory concerns the reflection and transmission of an electromagnetic wave at an interface separating two different material media. As this...
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Chapter
The Angular Spectrum Representation of Pulsed Electromagnetic and Optical Beam Fields in Temporally Dispersive Media
A completely general representation of the propagation of a freely propagating electromagnetic wave field into the half-space z ≥ z 0 > Z of a homogeneous, isotropic, locally linear, temporally dispersive medium ...
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Chapter
The Group Velocity Approximation
Because of its mathematical simplicity and direct physical interpretation, the group velocity approximation has gained widespread use in the physics, engineering, and mathematical science communities.
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Chapter
Evolution of the Precursor Fields
Based upon the foundational analysis just completed, the asymptotic description of dispersive pulse propagation in both Lorentz-type and Debye-type dielectrics as well as in conducting and semiconducting media...
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Chapter
Introduction
The dynamical evolution of an electromagnetic pulse as it propagates through a linear, temporally dispersive medium (such as water) or system (such as a dielectric waveguide) is a classical problem in both ele...
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Chapter
Continuous Evolution of the Total Field
This chapter combines the results of the preceding two chapters in order to obtain the uniform asymptotic description of the total pulsed wave-field evolution in a given causally dispersive material.
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Chapter
Microscopic Potentials and Radiation
The microscopic Maxwell equations consist of a set of coupled first-order partial differential equations relating the electric and magnetic field vectors that comprise the electromagnetic field to each other a...
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Applications
Although the complete mathematical description of ultra-wideband dispersive pulse propagation can be rather involved, its physical interpretation is really rather straightforward.
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Chapter
Fundamental Field Equations in Temporally Dispersive Media
The fundamental macroscopic electromagnetic field equations and elementary plane wave solutions in linear, temporally dispersive absorptive media are developed in this chapter with particular emphasis on homog...
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Book
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Chapter
Asymptotic Methods of Analysis using Advanced Saddle Point Techniques
The integral representation developed in Vol. 1 and reviewed in Chap. 9 of this volume provides an exact, formal solution to the problem of electromagnetic pulse propagation in homogeneous, isotropic, locally ...
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Chapter
Analysis of the Phase Function and Its Saddle Points
In preparation for the asymptotic analysis of the exact Fourier–Laplace integral representation given either in (11.45) as
