Spherical Waves
Tags: #physics #spherical wavesEquation
$$\frac{1}{v^2}\frac{\partial^2 (ru)}{\partial t^2}\frac{\partial^2 (ru)}{\partial r^2}=0 \\ u(r,t)=C_1\frac{f(rvt)}{r}+C_2\frac{g(r+vt)}{r}$$Latex Code
\frac{1}{v^2}\frac{\partial^2 (ru)}{\partial t^2}\frac{\partial^2 (ru)}{\partial r^2}=0 \\ u(r,t)=C_1\frac{f(rvt)}{r}+C_2\frac{g(r+vt)}{r}
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Introduction
Equation
Latex Code
\frac{1}{v^2}\frac{\partial^2 (ru)}{\partial t^2}\frac{\partial^2 (ru)}{\partial r^2}=0 \\ u(r,t)=C_1\frac{f(rvt)}{r}+C_2\frac{g(r+vt)}{r}
Explanation
When the wave is spherically symmetric, the homogeneous wave equation is given by:Latex code for the Spherical Waves. I will briefly introduce the notations in this formulation.
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