A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
Approximate Quantum and Acoustic Cloaking
2011
Journal of Spectral Theory
For any E 0, we construct a sequence of bounded potentials V E n ; n 2 N, supported in an annular region B out n B in R 3 , which act as approximate cloaks for solutions of Schrödinger's equation at energy E: for any potential V 0 2 L 1 .B in / such that E is not a Neumann eigenvalue of C V 0 in B in , the scattering amplitudes a V 0 CV E n .E; Â; !/ ! 0 as n ! 1. The V E n thus not only form a family of approximately transparent potentials, but also function as approximate invisibility cloaks
doi:10.4171/jst/2
fatcat:yx5un5k64bdcfgt6h5h4moujp4