Determination of the energy wave-number characteristic of Pb from experimental phonon frequencies

1969 ◽  
Vol 62 (2) ◽  
pp. 379-389 ◽  
Author(s):  
V. Bortolani ◽  
P. Ottaviani
Keyword(s):  
Wave Number

First Experimental Determination of an Adsorption Site Using Multiple Wave Number Photoelectron Diffraction Patterns

1994 ◽  
Vol 73 (26) ◽  
pp. 3548-3551 ◽  
Author(s):  
M. Zharnikov ◽  
M. Weinelt ◽  
P. Zebisch ◽  
M. Stichler ◽  
H. -P. Steinrück
Keyword(s):  
Experimental Determination ◽  
Adsorption Site ◽  
Wave Number ◽  
Multiple Wave ◽  
Photoelectron Diffraction ◽  
Diffraction Patterns

Eigenfrequencies of Continuous Plates With Arbitrary Number of Equal Spans

1979 ◽  
Vol 46 (3) ◽  
pp. 656-662 ◽  
Author(s):  
Isaac Elishakoff ◽  
Alexander Sternberg
Keyword(s):  
Arbitrary Number ◽  
Wave Number ◽  
Analytical Technique ◽  
Simply Supported ◽  
Isotropic Plates ◽  
Simple Support ◽  
Transcendental Equations ◽  
Rigid Supports ◽  
Numerical Complexity

An approximate analytical technique is developed for determination of the eigenfrequencies of rectangular isotropic plates continuous over rigid supports at regular intervals with arbitrary number of spans. All possible combinations of simple support and clamping at the edges are considered. The solution is given by the modified Bolotin method, which involves solution of two problems of the Voigt-Le´vy type in conjunction with a postulated eigenfrequency/wave-number relationship. These auxiliary problems yield a pair of transcendental equations in the unknown wave numbers. The number of spans figures explicitly in one of the transcendental equations, so that numerical complexity does not increase with the number of spans. It is shown that the number of eigenfrequencies associated with a given pair of mode numbers equals that of spans. The essential advantage of the proposed method is the possibility of finding the eigenfrequencies for any prescribed pair of mode numbers. Moreover, for plates simply supported at two opposite edges and continuous over rigid supports perpendicular to those edges, the result is identical with the exact solution.

Determination of the Reflectivity of Wind Waves with the Wave Number Frequency Spectrum

1978 ◽  
Vol 21 (1) ◽  
pp. 21-50
Author(s):  
Akira Ishida ◽  
Yasuomi Okamoto ◽  
Masakatsu Furuta
Keyword(s):  
Frequency Spectrum ◽  
Wind Waves ◽  
Wave Number ◽  
Number Frequency

Collisionless damping of plasma waves as a real physical phenomenon does not exist

2014 ◽  
Vol 6 (3) ◽  
pp. 1291-1296
Author(s):  
V. N. Soshnikov
Keyword(s):  
Energy Conservation ◽  
Dispersion Equation ◽  
Physical Phenomenon ◽  
Harmonic Wave ◽  
Collisionless Plasma ◽  
Plasma Waves ◽  
Wave Number ◽  
Erroneous Statement ◽  
Complex Dispersion

Trivial logic of collisionless plasma waves is reduced to using complex exponentially damping/growing wave functions to obtain a complex dispersion equation for their wave number 1 k and the decrement/increment 2 k (for a given real frequency  and complex wave number k  k1  ik2 ), whose solutions are ghosts 1 2 k , k which do not have anything to do at 2 k  0 with the real solution of the dispersion equation for the initial exponentially damping/growing real plasma waves with the physically observable quantities 1 2 k , k , for which finding should be added, in this case, the second equation of the energy conservation law. Using a complex dispersion equation for the simultaneous determination of 1 k and 2 k violates the law of energy conservation, leads to a number of contradictions, is logical error, and finally also the mathematical error leading to both erroneous statement on the possible existence of exponentially damping/growing harmonic wave solutions and to erroneous values 1 k and 2 k . Mathematically correct conclusion about the damping/growing of virtual complex waves of collisionless plasma is wrongly attributed to the actual real plasma waves.

Wave Component Analysis of Fluid-Loaded, Finite Cylindrical Shell Response

1995 ◽  
Author(s):  
Karl Grosh ◽  
Peter M. Pinsky
Keyword(s):  
Surface Displacement ◽  
Dispersion Relations ◽  
Wave Number ◽  
Far Field ◽  
Signal Processing Algorithm ◽  
Field Response ◽  
Finite Cylindrical Shell ◽  
Finite Shell ◽  
Complex Dispersion

Abstract In this paper, the surface displacement response of a finite fluid-loaded shell and the resulting far field acoustic pressure are studied. A high resolution signal processing algorithm is applied to the surface displacement to estimate the constituent wave numbers and corresponding amplitudes for these wave components. This parameter estimation technique identifies the fluid-loaded cylinder’s complex dispersion relations from finite shell data; the dispersion relations consist of subsonic, leaky, evanescent and oscillatory-decaying wave-number loci. The identified results are compared to the analytic dispersion relations. The far field pressure radiated due to each wave-number component is computed allowing for the determination of important contributors to the far field response. For the frequencies studied, the subsonic wave dominates the far field response due to the finite length of the shell and large amplitude of this component. The supersonic components have the next largest contribution to the far field pressure.

scholarly journals Wave number determination of Pc 1-2 mantle waves considering He++ ions: A Cluster study

2014 ◽  
Vol 119 (9) ◽  
pp. 7601-7614 ◽  
Author(s):  
B. Grison ◽  
C. P. Escoubet ◽  
O. Santolík ◽  
N. Cornilleau-Wehrlin ◽  
Y. Khotyaintsev
Keyword(s):  
Wave Number ◽  
Mantle Waves
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