Sampling statistics for cylindrical modes of higher order.

Autor: Jones, Kenneth E., Waterhouse, Richard
Zdroj: Journal of the Acoustical Society of America; 1975, Vol. 58 Issue 4, p846-852, 7p
Abstrakt: The distribution functions are considered for the random sampling in space of a three-dimensional acoustic mode. Expressions are obtained for the probability density and cumulative functions for a single mode excited in an ideal elastic fluid contained in a right-circular cylindrical enclosure. In earlier work, axisymmetric modes of lower order were treated; here the work is extended to some modes of higher order, and in addition the rms values of the modal function are sampled, as well as the mean-square vales. The rms modal function |J0(·) | contains cusps on the abscissa, and these cause the distribution functions to differ from those pertaining to the square of the modal function. In both cases, however, the density functions have a number of poles which increases with the order of the mode. Computed values of the functions are presented, together with values of the variances of the distributions. Subject Classifications: 45.30; 55.20. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index