Alternative construction of the closed form of the Green's function for the wavized Maxwell fish-eye problem

Details Alternative construction of the closed form of the Green's function for the wavized Maxwell fish-eye problem Alternative construction of the closed form of the Green's function for the wavized Maxwell fish-eye problem

2011-07-09

arxiv.org/abs/1107.1768v1

Physics

Mathematical Physics

LeTeX2e, 4 pages, 1 figure

Scientific paper

In the recent paper [J.\ Phys.\ A 44 (2011) 065203], we have arrived at the closed-form expression for the Green's function for the partial differential operator describing propagation of a scalar wave in an $N$-dimensional ($N\geqslant2$) Maxwell fish-eye medium. The derivation has been based on unique transformation properties of the fish-eye wave equation under the hyperspherical inversion. In this communication, we arrive at the same expression for the fish-eye Green's function following a different route. The alternative derivation we present here exploits the fact that there is a close mathematical relationship, through the stereographic projection, between the wavized fish-eye problem in $\mathbb{R}^{N}$ and the problem of propagation of scalar waves over the surface of the $N$-dimensional hypersphere.

Affiliated with

Also associated with

No associations

Rating

Alternative construction of the closed form of the Green's function for the wavized Maxwell fish-eye problem does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Alternative construction of the closed form of the Green's function for the wavized Maxwell fish-eye problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Alternative construction of the closed form of the Green's function for the wavized Maxwell fish-eye problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-674944