Prove that the spherical wave given by: ?(?,?) = (A ei k (r-vt))/r is indeed a solution of the three-dimensional wave equation Hint: Write the wave equation in spherical coordinates (therefore, you should use the Laplacian written in terms of r, ?, ?, and insert the solution given above into the wave equation.

icon
Related questions
Question

Prove that the spherical wave given by:

?(?,?) = (A ei k (r-vt))/r

is indeed a solution of the three-dimensional wave equation

Hint: Write the wave equation in spherical coordinates (therefore, you should use the Laplacian written in terms of r, ?, ?, and insert the solution given above into the wave equation.

Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer