n n The Wave Equation in Cylindrical Coordinates and Its Applications Eugen Skudrzyk Chapter 1496 Accesses 2 Citations Abstract Sound propagation in cylindrical ducts or in thin layers of fluid, sound radiation of cylinders, and a great number of other interersting problems can be solved by using cylindrical coordinates. The particular geometry I am interested in is the initial condition of For ex ample, there are times when a problem has . s 16.3: Plane Electromagnetic Waves - Physics LibreTexts y r ; a ( r Let us derive an expression for the potential in a monochromatic cylindrical wave. ) + The Wave Equation in Cylindrical Coordinates and Its Applications u ( x, 0) = T 0. 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Spherical coordinates 2 a [ b r a ) 2 Cylindrical coordinates. b They solve the wave equation, but the time-dependent Schrodinger's Equation is a diffusion equation (the difference is that the diffusion equation is only first order in time).