Abstract
In this paper a method for the reconstruction of the dielectric permeability is introduced. In this connection the property is used that the real and the imaginary component of the dielectric permeability is coupled with the Kramers-Kronig relation. That corresponds with the Hubert transformation. If the real component is bandlimited, the real part can be reconstructed from its equidistant sampling points. For that purpose the Shannon sampling series is used. With the help of the conjugate Shannon sampling series the imaginary component can be calculated from these sampling points as well. In this paper the behaviour of the conjugate Shannon sampling series for not bandlimited real components will be introduced. On that condition it will be shown that an entire reconstruction is not possible. The conjugate Shannon sampling series does not approximate the imaginary component in every case. Furthermore, the order of magnitude of that divergence behaviour will be examined.
| Original language | English |
|---|---|
| Pages (from-to) | 1-3 |
| Number of pages | 3 |
| Journal | Forschung im Ingenieurwesen/Engineering Research |
| Volume | 64 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - May 1998 |
| Externally published | Yes |