TY - GEN
T1 - Local spectrum representation of waves in inhomogeneous media using non-orthogonal coordinate system
AU - Hadad, Yakir
AU - Melamed, Timor
PY - 2007/12/1
Y1 - 2007/12/1
N2 - Tilted Gaussian beams which are defined by their initial field distribution over a plane generally inclined to the beam axis, serve as the building blocks for the phase-space beam summation method, hence the importance of obtaining asymptotically exact solutions for these waveobjects. By applying a novel non-orthogonal ray-centered coordinate system to the inhomogeneous wave equation and using asymptotic (paraxial) considerations, the wave equation is reduced into a new form of a Parabolic wave equation. The characteristics of these wave fields are investigated, as well as the novel wave phenomena associated with them.
AB - Tilted Gaussian beams which are defined by their initial field distribution over a plane generally inclined to the beam axis, serve as the building blocks for the phase-space beam summation method, hence the importance of obtaining asymptotically exact solutions for these waveobjects. By applying a novel non-orthogonal ray-centered coordinate system to the inhomogeneous wave equation and using asymptotic (paraxial) considerations, the wave equation is reduced into a new form of a Parabolic wave equation. The characteristics of these wave fields are investigated, as well as the novel wave phenomena associated with them.
UR - http://www.scopus.com/inward/record.url?scp=47349112687&partnerID=8YFLogxK
U2 - 10.1109/ICEAA.2007.4387229
DO - 10.1109/ICEAA.2007.4387229
M3 - Conference contribution
AN - SCOPUS:47349112687
SN - 1424407672
SN - 9781424407675
T3 - 2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07
SP - 25
EP - 28
BT - 2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07
T2 - 2007 International Conference on Electromagnetics in Advanced Applications, ICEAA'07
Y2 - 17 September 2007 through 21 September 2007
ER -