The Computation of short wave equation pulses as essentially zero thickness surfaces is accomplished by using a new, fixed grid Eulerian representation - Dynamic Surface Extension (DSE). This method involves propagating information fields through the grid that represent properties of nearby segments of the pulses, such as location, amplitude,curvature,etc. Different implementations can involve different variables.
We present a new implementation using position variables projected onto a ?reference plane?, that is particularly efficient for propagating wave pulse surfaces of both positive and negative curvature, including multiple reflections and ?swallowtail? formation.
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