Electromagnetic Pulse Propagation in Causal Dielectrics by K. E. Oughstun, G. C. Sherman (auth.)

By K. E. Oughstun, G. C. Sherman (auth.)

Electromagnetic Pulse Propagation in Causal Dielectrics provides a scientific remedy of the speculation of the propagation of brief 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 booklet is twofold. half I provides an in depth rigorous remedy of the basic thought of electromagnetic pulse propagation in causally dispersive media that's acceptable to dielectric, accomplishing, or semiconducting media. half II presents a close 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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24 and 25), one is free to impose the additional condition that the imaginary parts of these quantities also satisfy the same relations. 21); the difference between these two sets of equations lies entirely in the interpretation of the field vectors. Upon taking the curl of (2. 28a), becomes V2 E(r) + [c i2 ]w 2 JlecC W)E(r) =0 . ] remains intact in these (and all) equations. In addition, eo = Jlo = 1 so that Jl and e are the relative magnetic permeability and the relative dielectric permittivity of the medium, respectively.

2. 32b) Je(r) , in the absence of any external current source. The complex conjugate of the second curl relation gives J:{r) = [ :n] V x H*(r) - [4~] iwe*(w)E*{r} , where w is assumed here to be real-valued. D* :n] V· (E x H*) +[ V . (E x H*) + [ 4~] iw{B· H* - H* . (V x E) - [ 4~] iwE· D* E· D*) . 6} of Poynting's theorem for time-harmonic fields. 34) is commonly referred to as the "harmonic magnetic energy density", and the quantity ue(r), defined as ue{r) == ! [~] E(r) . 35) is commonly referred to as the "harmonic electric energy density".

8) of a harmonic electromagnetic plane wave field may be approximated as - [1]C {[ k(w) ~ w J1. 19) where a~(w) = ar(w) - [4n]ai(w)/w. For w» ar(w)/a~(w) the loss term in the above expression is small so that the previous approximations apply with a~ = [4n]ar(w)/w and the semiconductor behaves as a near-ideal dielectric. On the other hand, for w « ar(w)/a~(w) the semiconductor material behavior is domi- 42 2 Fundamental Field Equations in a Temporally Dispersive Medium nated by the real-part oAw) of the conductivity and may then be considered as a good conductor.

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