Results 221 to 230 of about 88,487 (267)
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2002
As we showed in Chap. 3, the solution of the wave equation can be expressed as a sum of plane waves. This remark, which justifies the use of plane waves to analyze continuous models holds in the discrete case [116]. The purpose of this section is to show how to find dispersion relations corresponding to (3.6), (3.15) and (3.24) for the discrete ...
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As we showed in Chap. 3, the solution of the wave equation can be expressed as a sum of plane waves. This remark, which justifies the use of plane waves to analyze continuous models holds in the discrete case [116]. The purpose of this section is to show how to find dispersion relations corresponding to (3.6), (3.15) and (3.24) for the discrete ...
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Dispersion Relations in a Stationary Plasma
The Physics of Fluids, 1961The two-fluid theory for a fully ionized, macroscopically neutral plasma is used to examine small-amplitude normal mode oscillations in an infinite, homogeneous medium for three cases: no applied magnetic field; a magnetic field in the direction of wave propagation; and a magnetic field perpendicular to the direction of wave propagation.
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Bianisotropic dispersion relation
International Symposium on Antennas and Propagation Society, Merging Technologies for the 90's, 1990The propagation of plane electromagnetic waves in a bianisotropic material is considered. The dispersion relation for a general bianisotropic medium is derived directly in the (x,y,z) system. A detailed analytic knowledge of the coefficients of the dispersion equation can be of great interest in fields of application, such as material synthesis.
R.D. Graglia, P.L.E. Uslenghi, R.E. Zich
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Dispersion and Attenuation Relations in Flexoelectricity
Journal of the Mechanics and Physics of SolidsThe dispersion relations in flexoelectricity are examined for plane time-harmonic waves that propagate in the flexoelectric materials. In contrast to classic elastodynamics, dispersion is observed in the displacement field due to two micro-structural and two micro-inertial lengths that emerge from the electromechanical coupling.
Antonios E. Giannakopoulos +1 more
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Dispersion relations for virtual photoproduction
Nuclear Physics, 1959Abstract The matrix element of lowest order (with respect to e) for electron-nucleon scattering involving π meson production is expressed through a quantity which is called the virtual photoproduction amplitude. Dispersion relations are obtained for this amplitude, it being assumed that at high energies the amplitude is independent of energy.
Logunov, A. A., Solovyov, L. D.
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The Hose Instability Dispersion Relation
Journal of Mathematical Physics, 1964The dispersion relation is obtained for the ``hose'' instability in a modulated beam of charged particles traveling through a finite ohmic plasma channel. For a relativistic beam, the low-frequency mode obeys a dispersion relation of the same form as for the unmodulated beam, but it involves a constant which will have to be obtained by machine ...
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Acausality and dispersion relations
Il Nuovo Cimento, 1964This paper is concerned with the study of the analytic properties of the scattering amplitude under the assumption that the signal propagates not only inside the light cone but also outside it, however near its surface or its vertex. The conditions of macroscopic causality and spectrality were fulfilled.
D. I. Blokhintsev, G. I. Kolerov
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Physical Review D, 1972
We derive a dispersion relation for direct-channel reactions of the type $a+b\ensuremath{\rightarrow}c+d$ with ${m}_{b}={m}_{d}$, e.g., $\ensuremath{\gamma}N\ensuremath{\rightarrow}\ensuremath{\pi}N$, which involves contributions from both forward and backward scattering of the direct channel and backward scattering of the crossed channel but no ...
G. E. Hite, R. Jacob
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We derive a dispersion relation for direct-channel reactions of the type $a+b\ensuremath{\rightarrow}c+d$ with ${m}_{b}={m}_{d}$, e.g., $\ensuremath{\gamma}N\ensuremath{\rightarrow}\ensuremath{\pi}N$, which involves contributions from both forward and backward scattering of the direct channel and backward scattering of the crossed channel but no ...
G. E. Hite, R. Jacob
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Exact Inversion of Dispersion Relations
The Physics of Fluids, 1966A method is proposed for explicitly determining the complex roots of dispersion relations involving transcendental analytic functions. A simple consequence of Cauchy's theorem, the method has application in many fields, including current plasma problems.
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