Wave Propagation in 1-D Spiral geometry
Classical Physics
2014-10-21 v1
Abstract
In this article, we investigate the wave equation in spiral geometry and study the modes of vibrations of a one-dimensional (1-D) string in spiral shape. Here we show that the problem of wave propagation along a spiral can be reduced to Bessel differential equation and hence, very closely related to the problem of radial waves of two-dimensional (2-D) vibrating membrane in circular geometry.
Cite
@article{arxiv.1410.4939,
title = {Wave Propagation in 1-D Spiral geometry},
author = {Deep Chatterjee and Rajesh K. Nayak},
journal= {arXiv preprint arXiv:1410.4939},
year = {2014}
}