24,558 research outputs found
A note on numerical computations of large amplitude standing waves
Numerical solutions of the inviscid equations that describe standing waves of finite amplitude on deep water are reported. The calculations suggest that standing waves exist of steepness, height and energy greater than the limiting wave of Penney & Price (1952). The computed profiles are found to be consistent with Taylor's (1953) experimental observations
Travelling and standing waves in magnetoconvection
The problem of Boussinesq magnetoconvection with periodic boundary conditions is
studied using standard perturbation techniques. It is fbund that either travelling
waves or standing waves can be stable at the onset of oscillatory convection,
depending on the parameters of the problem. When travelling waves occur, a steady
shearing flow is present that is quadratic in the amplitude of the convective flow. The
weakly nonlinear predictions are confirmed by comparison with numerical solutions
of the full partial differential equations at Rayleigh numbers 10% above critical.
Modulated waves (through which stability is transferred between travelling and
standing waves) are found near the boundary between the regions in parameter space
where travelling waves and standing waves are preferred
Holographic analysis of diffraction structure factors
We combine the theory of inside-source/inside-detector x-ray fluorescence
holography and Kossel lines/x ray standing waves in kinematic approximation to
directly obtain the phases of the diffraction structure factors. The influence
of Kossel lines and standing waves on holography is also discussed. We obtain
partial phase determination from experimental data obtaining the sign of the
real part of the structure factor for several reciprocal lattice vectors of a
vanadium crystal.Comment: 4 pages, 3 figures, submitte
Temporal Modulation of the Control Parameter in Electroconvection in the Nematic Liquid Crystal I52
I report on the effects of a periodic modulation of the control parameter on
electroconvection in the nematic liquid crystal I52. Without modulation, the
primary bifurcation from the uniform state is a direct transition to a state of
spatiotemporal chaos. This state is the result of the interaction of four,
degenerate traveling modes: right and left zig and zag rolls. Periodic
modulations of the driving voltage at approximately twice the traveling
frequency are used. For a large enough modulation amplitude, standing waves
that consist of only zig or zag rolls are stabilized. The standing waves
exhibit regular behavior in space and time. Therefore, modulation of the
control parameter represents a method of eliminating spatiotemporal chaos. As
the modulation frequency is varied away from twice the traveling frequency,
standing waves that are a superposition of zig and zag rolls, i.e. standing
rectangles, are observed. These results are compared with existing predictions
based on coupled complex Ginzburg-Landau equations
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