Exact solutions of the wave equation with complex source locations

Richard W. Ziolkowski

doi:10.1063/1.526579

Exact solutions of the wave equation with complex source locations

Richard W. Ziolkowski

Research output: Contribution to journal › Article › peer-review

275 Scopus citations

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)
Pages (from-to)	861-863
Number of pages	3
Journal	Journal of Mathematical Physics
Volume	26
Issue number	4
DOIs	https://doi.org/10.1063/1.526579
State	Published - 1985
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1063/1.526579

Cite this

@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",

doi = "10.1063/1.526579",

language = "English (US)",

volume = "26",

pages = "861--863",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

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

U2 - 10.1063/1.526579

DO - 10.1063/1.526579

M3 - Article

AN - SCOPUS:0001213440

SN - 0022-2488

VL - 26

SP - 861

EP - 863

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 4

ER -

Exact solutions of the wave equation with complex source locations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this