On uniformly valid high-frequency far-field asymptotic solutions of the Helmholtz equationAn asymptotic, large wave number approximation for the Helmholtz equation is derived. The theory is an extension of the geometric acoustic theory, and provides corrections to that theory in the form of multiplicative functions which satisfy parabolic equations. A simple example is used both to illustrate failure of the geometric theory for large propagation distances, and to show the improvement obtained by use of the new theory.
Document ID
19860035153
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Mcaninch, G. L. (NASA Langley Research Center Hampton, VA, United States)