In this thesis, the behaviour of a weakly nonlinear acoustic signal near a coustic surface has been determined for a special class of specified inconing signals. This problem arises in various contexts, including the propagation of sonic booms generated by supersonic aircraft. The analysis depends on a complicated mapping of hodograph-like solutions to the physical plane. The maximum amplification for this class of signals of fixed amplitude depends on the width of the incoming signal. The solutions contain reflected shock waves that satisfy the Rankine-Hugoniot jump conditions. A set of solutions, characterized by a single parameter in the hodograph plane, is proposed that should allow one to find solutions for incoming signal widths other than those found acceptable here.
Shock wave formation at a caustic
Bildung von Schockwellen bei Ueberschallknall
1976
73 Seiten
Theses
English
Edge diffracted caustic fields
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