By K. E. Oughstun, G. C. Sherman (auth.)
Electromagnetic Pulse Propagation in Causal Dielectrics offers a scientific remedy of the idea of the propagation of brief electromagnetic fields (such as ultrashort, ultrawide-band pulses) via homogeneous, isotopic, in the community linear media which show either dispersion and absorption. the topic of the e-book is twofold. half I offers a close 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 offers 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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Extra info for Electromagnetic Pulse Propagation in Causal Dielectrics
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7a). J't'(r,t) has the physical meaning of the total electromagnetic energy flux across a unit area normal to the direction of Y(r, t). 16) remains valid for the energy density of the magnetic field and crt;"(r, t) = crtm(r, t). 2) as the total electromagnetic energy flux density remains intact. 17) for OIIe(r, t) no longer represents the energy density of the electric field. 13) for a dispersive medium that is dominated by the medium polarizability. 19) + fc(r, t) . 8(r, t) where OIIe(r, t) now represents just the electric energy density both in the field and reactively stored in the dispersive medium, and where j1(r, t) represents the evolved heat or dissipation in the medium.
2. 42) then gives W HSv llm{EAw)} IE(r)1 2 d3r > 0 , which is valid for all non static fields (w i= W. 44) where W is the real-valued angular frequency of the (nonstatic) time-harmonic field so that W > O. This general inequality allows for amplification in one medium parameter provided that it is exceeded by the loss associated with the other medium parameter. 45) O"r(w) > 0 , for all finite, positive W > O. However, the signs for the real part Er(W) of the dielectric permittivity and the imaginary part O"i(W) of the medium conductivity are not subject to any physical restriction.
24) and so-on for higher-order coefficients. However, in general, the coefficients 0(1 and 131 cannot be expressed separately in terms of the dielectric permittivity and conductivity, even for the simple case of a nondispersive medium for which 8 = 8(0) and a = a(O); the single exception is that of a strict electrostatic field. 23) for the evolved heat takes the form 1bJ« T (j (0) . 22) for the electric energy density becomes 0/1 (r t) :::: e' - ~2 [~] 8(0) C 2 (r t) 4n " . However, it is by no means certain that the condition 10(11 » 11311 will be satisfied and it is entirely possible that 10(11 ~ 11311.
