Pure tone modes for a 5:3 elliptic drum
arXiv:2008.06936
Abstract
The paper exhibits several standing modes of a 5:3 elliptic drum computed using Mathieu functions. To match the boundary conditions, I used Newton's method on the appropriate modified Mathieu equation using the Squire-Trapp formula for computing derivatives. I tabulate the requisite values of the parameter for these low-frequency modes.
12 pages; 56 figurs; two tables