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Exact solutions of the wave equation with complex source locations

Richard W. Ziolkowski

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Source: Crossref

Published: Apr 1, 1985

DOI: 10.1063/1.526579

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Source abstract

New exact solutions of the homogeneous, free-space wave equation are obtained. They originate from complex source points moving at a constant rate parallel to the real axis of propagation and, therefore, they maintain a Gaussian profile as they propagate. Finite energy pulses can be constructed from these Gaussian pulses by superposition.

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Exact solutions of the wave equation with complex source locations — Mathematical Frontier Network