A note on the pochhammer frequency equation

Abstract

The Pochhammer frequency equation for both a convex and a concave cylinder is analysed in the limiting case  when the propagation constant tends to zero. It is found that below a certain value of the radius the  displacements involve a combination of ordinary and modified Bessel functions instead of just one type of  Bessel functions. This value of the radius is calculated and displayed for various materials.

Keywords : Pochhammer, propagation constant.