For a spherically symmetric medium, the wave equation in spherical coordinates can be written 128 (2)...

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For a spherically symmetric medium, the wave equation in spherical coordinates can be written 128 (²2) eik(-u) ,2 Show that a solution is of the form u for the r² dr as: 1 d²u du )= dr v² dt² outgoing wave. Note that the dependence of amplitudes for a spherical wave can also be shown through considerations of energy over a spherical surface where energy is proportional to the square of the wave amplitude. For a spherically symmetric medium, the wave equation in spherical coordinates can be written 128 (²2) eik(-u) ,2 Show that a solution is of the form u for the r² dr as: 1 d²u du )= dr v² dt² outgoing wave. Note that the dependence of amplitudes for a spherical wave can also be shown through considerations of energy over a spherical surface where energy is proportional to the square of the wave amplitude.

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the wave equation in spherical coordinates for a spherically symmetric medium is given as r21rr2ruv2... View the full answer