### 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.

Original language | English (US) |
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Pages (from-to) | 861-863 |

Number of pages | 3 |

Journal | Journal of Mathematical Physics |

Volume | 26 |

Issue number | 4 |

State | Published - 1985 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

**Exact solutions of the wave equation with complex source locations.** / Ziolkowski, Richard W.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 26, no. 4, pp. 861-863.

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TY - JOUR

T1 - Exact solutions of the wave equation with complex source locations

AU - Ziolkowski, Richard W

PY - 1985

Y1 - 1985

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0001213440&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001213440&partnerID=8YFLogxK

M3 - Article

VL - 26

SP - 861

EP - 863

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

ER -