Where [f.sub.b] is the frequency where the wave field transforms from having plane to curved wave fronts
Implementation of the above in the real time by finding the actuator voltage and providing them to the voice coil actuator to compensate the Wave front
The power propagation angle (15) does not coincide with the wave front
propagation angle (14).
Since the traveling wave front
[phi]([xi]) of (4) possesses invariance up to translation, we assume that traveling wave front
By using Eqs (16) and (17) and taking into account the kinematic identity [[U.sub.t]] = -[V.sub.s][[U.sub.x]], one can find the relationship between the anticipated front velocity Vs and the value of the discontinuity [[U.sub.x]] across the wave front
The local dependency has been assumed to be a result of the superposition of the flow causing the wave front
and short-range fluctuations.
The most commonly used apparatus is based on the principles of Hartmann-Shack aberrometry, which measures distortions in a wave front
of light emitted from the eye after it has passed through the eye's optics.
While the majority of concussions suffered by our servicemen are the result of explosive wave fronts
or high-velocity, low-mass fragments and/or projectiles, those suffered on the grid-iron are due to low-velocity, high-mass encounters with opposing players.
With an increase of apex angle (ship's half entrance angle), the wave front
angle increases, and the steepness of the wave slope obviously exceeds the limit of the linear wave system, as seen in Fig.
Relative time of flight for most of significant pressure signals was estimated as the phase difference between an ideal plane wave front
at the optimum incidence angle and the calculated pressure wave front
This work takes advantages of the sparsity prior of the wave front
Transmission wave front
, surface roughness, and residual stress induced by different treating parameters were tested to evaluate the ability of this new polishing method to control the side-effects.