Consider the outgoing spherical wave solutions of the threedimensional scalar wave equation in vacuum. Show that the

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Consider the outgoing spherical wave solutions of the threedimensional scalar wave equation in vacuum. Show that the phase velocity of the = 0 wave is c but that the phase velocity of the = 1 wave is position-dependent and greater than c. What happens as r → 0 and r →∞? What about the > 1 waves?

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