By K. E. Oughstun, G. C. Sherman (auth.)
Electromagnetic Pulse Propagation in Causal Dielectrics offers a scientific therapy of the speculation of the propagation of temporary electromagnetic fields (such as ultrashort, ultrawide-band pulses) via homogeneous, isotopic, in the community linear media which convey either dispersion and absorption. the topic of the publication is twofold. half I provides an in depth rigorous therapy of the elemental thought of electromagnetic pulse propagation in causally dispersive media that's appropriate to dielectric, engaging in, or semiconducting media. half II presents an in depth asymptotic description of plane-wave pulse propagation in a Lorentz version dielectric and gives a rigorous account ot the sign pace of a pulse in that dispersive medium.
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7). 26) where n(w) is the complex index of refraction of the dispersive, conducting medium. With this substitution Eq. 31) where nr(w) is the real part of the complex index of refraction of the dispersive, conducting medium. 12J, the Lorentz model being applicable to dielectric media while the Drude model applies to free-electron metals. Although both of these models are phenomenological in their origin, they do provide accurate expressions for describing the dispersive properties of such media from the infrared to the optical region of the electromagnetic spectrum.
2. The medium parameters in part (b) are the same as those in part (a) with the single exception that the second resonance frequency W2 has been increased from W 2 = 4 x 1016/S to W2 = 7 x 10 16/S. This increase not only shifts the location of the second minimum in the energy velocity to a higher frequency but also shifts the location of the local maximum in the energy velocity that occurs between the two resonance frequencies Wo and W2 to a higher frequency as well as increases the value of the energy velocity of this relative maximum.
8 v. 2 0 0 2 Wo 6 w' [ 8 101b(sec] 10 12 (b) Fig. 1a, b. 28 x 10 16 /8, b~ = 20 X 1032/s2. , where nr(w) has a negative slope) is said to exhibit anomalous dispersion. Notice that the real index of refraction nr(w) varies rapidly with w within the region of anomalous dispersion, and that this region essentially coincides with the region of strong absorption of the medium. 2 The Velocity of Energy Flow of a Monochromatic Field in a Multiple-Resonance Lorentz Medium A phenomenological point of view that is often useful is to consider the electromagnetic field to have associated with it, electromagnetic energy which flows through space with a velocity V E • The flow direction and the rate of flow of energy associated with the electromagnetic field per unit area through a surface normal to the direction of flow is taken to be given by the Poynting vector, cf.
