Abstract
A new decomposition of exact solutions to the scalar wave equation into bidirectional, forward and backward, traveling plane wave solutions is described. The resulting representation is a natural basis for synthesizing pulse solutions that can be tailored to give directed energy transfer in space. The development of known free-space solutions, such as the focus wave modes, the electromagnetic directed energy pulse trains, the spinor splash pulses, and the Bessel beams, in terms of this decomposition will be given. The efficacy of this representation in geometries with boundaries, such as a propagation in a circular waveguide, will also be demonstrated.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1254-1269 |
| Number of pages | 16 |
| Journal | Journal of Mathematical Physics |
| Volume | 30 |
| Issue number | 6 |
| State | Published - 1989 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Organic Chemistry
Cite this
A bidirectional traveling plane wave representation of exact solutions of the scalar wave equation. / Besieris, Ioannis M.; Shaarawi, Amr M.; Ziolkowski, Richard W.
In: Journal of Mathematical Physics, Vol. 30, No. 6, 1989, p. 1254-1269.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A bidirectional traveling plane wave representation of exact solutions of the scalar wave equation
AU - Besieris, Ioannis M.
AU - Shaarawi, Amr M.
AU - Ziolkowski, Richard W
PY - 1989
Y1 - 1989
N2 - A new decomposition of exact solutions to the scalar wave equation into bidirectional, forward and backward, traveling plane wave solutions is described. The resulting representation is a natural basis for synthesizing pulse solutions that can be tailored to give directed energy transfer in space. The development of known free-space solutions, such as the focus wave modes, the electromagnetic directed energy pulse trains, the spinor splash pulses, and the Bessel beams, in terms of this decomposition will be given. The efficacy of this representation in geometries with boundaries, such as a propagation in a circular waveguide, will also be demonstrated.
AB - A new decomposition of exact solutions to the scalar wave equation into bidirectional, forward and backward, traveling plane wave solutions is described. The resulting representation is a natural basis for synthesizing pulse solutions that can be tailored to give directed energy transfer in space. The development of known free-space solutions, such as the focus wave modes, the electromagnetic directed energy pulse trains, the spinor splash pulses, and the Bessel beams, in terms of this decomposition will be given. The efficacy of this representation in geometries with boundaries, such as a propagation in a circular waveguide, will also be demonstrated.
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UR - http://www.scopus.com/inward/citedby.url?scp=36549104582&partnerID=8YFLogxK
M3 - Article
VL - 30
SP - 1254
EP - 1269
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 6
ER -