The perfect lens on a finite bandwidth
| dc.creator | Lind-Johansen, Øyvind | |
| dc.creator | Seip, Kristian | |
| dc.creator | Skaar, Johannes | |
| dc.date | 2007-06-20 | |
| dc.date.accessioned | 2026-07-07T12:54:56Z | |
| dc.date.available | 2026-07-07T12:54:56Z | |
| dc.description | The resolution associated with the so-called perfect lens of thickness $d$ is $-2πd/\ln(|χ+2|/2)$. Here the susceptibility $χ$ is a Hermitian function in $H^2$ of the upper half-plane, i.e., a $H^2$ function satisfying $χ(-ω)=\bar{χ(ω)}$. An additional requirement is that the imaginary part of $χ$ be nonnegative for nonnegative arguments. Given an interval $I$ on the positive half-axis, we compute the distance in $L^\infty(I)$ from a negative constant to this class of functions. This result gives a surprisingly simple and explicit formula for the optimal resolution of the perfect lens on a finite bandwidth. | |
| dc.identifier | https://arxiv.org/abs/0706.3054 | |
| dc.identifier | http://arxiv.org/abs/0706.3054 | |
| dc.identifier | J. Math. Phys. 50, 012908 (2009) | |
| dc.identifier | doi:10.1063/1.3068751 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/224108 | |
| dc.subject | Optics | |
| dc.title | The perfect lens on a finite bandwidth | |
| dc.type | text |