2014/10/18 by Deep Chatterjee, Chatterjee, Deep, Rajesh K. Nayak +1
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1410.4939
arxiv created 2014/10/18 · arxiv updated 2014/10/21
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.