Exact solutions of the wave equation with complex source locations

Research output: Contribution to journalArticle

234 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)861-863
Number of pages3
JournalJournal of Mathematical Physics
Volume26
Issue number4
StatePublished - 1985
Externally publishedYes

Fingerprint

Wave equations
wave equations
Wave equation
Exact Solution
Point Source
Free Space
pulses
Rate Constant
point sources
Superposition
Propagation
propagation
profiles
Energy
energy
Profile

ASJC Scopus subject areas

  • Organic Chemistry

Cite this

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

In: Journal of Mathematical Physics, Vol. 26, No. 4, 1985, p. 861-863.

Research output: Contribution to journalArticle

@article{654715cac7174b48a74cc683f8179fee,
title = "Exact solutions of the wave equation with complex source locations",
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.",
author = "Ziolkowski, {Richard W}",
year = "1985",
language = "English (US)",
volume = "26",
pages = "861--863",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "4",

}

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

AN - SCOPUS:0001213440

VL - 26

SP - 861

EP - 863

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 4

ER -