Impulse Time-Domain Electromagnetics of Continuous MediaSpringer Science & Business Media, 1999 - 168 tion of fields as a product of coordinate-dependent and time-dependent factors. The temporal variations of both media and fields are given by Fourier expansions. The successes of radiotechnique provided fertile ground for the dominance of sinusoidal waves in wave physics. This approach proved to be a powerful the oretical tool, since researchers were dealing with long trains of slowly varying quasi-monochromatic waves. However, the success of this concept and the stan dardizability of related designs engendered a peculiar psychological hypnosis of Fourier electromagnetics, which took over as a model for wave phenomena in such cross-discipIlnary areas of physics as optics and acoustics. Yet in providing a description of alternating fields, the presentation of such fields in terms of traveling waves with frequency wand wave number k is not a law of nature. One can see that such a presentation is not even a logical corollary of Maxwell's equations. What is more, this approach has become inadequate today for the analysis of fields excited by ultrashort transients in continuous media. |
Spis treści
Anharmonic Alternating Electromagnetic Fields in Dispersive | 1 |
Inhomogeneous Materials | 18 |
NonFourier Electromagnetics of Magnetized Media | 37 |
Laguerre Optics of Ultrashort Transients in Dispersive Media | 71 |
Communication Problems for Transient Signals | 117 |
Nonseparable Fields in CrossDisciplinary Physics | 151 |
| 157 | |
| 163 | |
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Alfvenic waves amplitudes analysis anharmonic Bessel functions characterized conducting conductor continuous media coordinate-dependent cutoff frequency density dependence described dielectric diffraction dimensionless dipole dispersive media electric and magnetic electric displacement electric field electromagnetics envelopes equation governing expression ferrite finite formula Fourier function F group velocity harmonic waves heterogeneous media impulse incident interface KG equation Klein-Gordon equation Laguerre functions Laguerre waveforms Let us consider lossless magnetic components magnetic field magnetoplasma Maxwell equations medium non-Fourier nonseparable fields nonseparable functions nonseparable harmonics nonseparable solutions nonsinusoidal fields nonstationary fields normalized obtain optics oscillations P-polarized parameter perturbations phenomena physical plasma plasmalike polarization problems propagation pulse reflection coefficient refractive index representations scales Section single-cycle sinusoidal waves spatial stationary Substitution telegraph equation time-domain solutions tion traveling values variables vector potential wave equation wave trains wave-guide yields θη θτ ωο
