Sound Wave Scattering: Interface Total Potential?

nawidgc
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Consider a plane sound wave ([itex]\varphi^i[/itex]) incident up on a solid object . The object will scatter this incident wave. Let this scattered wave pass through an interface separating two different fluids (say with sound speeds c1 and c2). Now at the interface, is the scattered velocity potential continuous or the total potential? By total potential, I mean the scattered wave plus the incident wave.
 
on Phys.org
Interesting - how would you go about figuring it out?
Something in the way a velocity potential is used?
 

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