To verify that this single-channel preparation preserved the forward
traveling wave feature of the normal cochlea, the BM vibration was measured at the same longitudinal locations under normal acoustic conditions, that is, the sound was delivered to the ear drum.
From Pan [8], we see that a
traveling wave solution with large wave speed decays exponentially as [xi] [right arrow] -[infinity].
Using the dimensionless wave variable [xi] = (1/l)x-(c/[tau])t, where c is the dimensionless velocity of wave and [tau] = R[C.sub.0] = 0.6 x [10.sup.-6] s is the characteristic time of charging ER capacitor, we obtain the
traveling wave transformation m(x, t) = U([xi]) and then (28) is converted to the following new ODE:
Therefore, by using a modal transformation matrix, we can decompose the
traveling wave between phases into several independent modes.
Since the
traveling wave front [phi]([xi]) of (4) possesses invariance up to translation, we assume that
traveling wave front [phi]([xi]) satisfies
The results suggest that the fault inception angle has a negligible impact in calculating the distance at which the fault occurs since a small magnitude of the
traveling wave is required for fault detection and localization.
Traveling wave solutions in partially degenerate cooperative reaction-diffusion systems.
By using the results of the above lemmas and the basic theory of the singular nonlinear
traveling wave equations [22], we obtain the dynamical behavior of the
traveling wave solutions of (1) as follows.
However, though the waveshape of the current at the channel base is undisturbed by the
traveling wave phenomena, its peak value clearly depends on both the reflection coefficients.
Gong, "A novel helical slow-wave structure for millimeter wave
traveling wave tube," 5th Global Symposium on Millimeter Waves Conference, 312-315, 2012.
Whaley, "A three-dimensional multifrequency large signal model for helix
traveling wave tubes," IEEE Trans.
Klystrons,
Traveling Wave Tubes, Magnetrons, Crossed-Field Amplifiers, and Guyrotrons