https://doi.org/10.1007/s100510050643
Evanescent modes are not necessarily Einstein causal
II. Physikalisches Institut, Universität Köln,
Zülpicherstrasse 77, 50937 Köln, Germany
Received:
12
December
1998
Accepted:
14
December
1998
Published online: 15 February 1999
Previously, experiments with microwave signals have shown that evanescent modes can travel faster than light. Several theoretical investigations have proven that in the case of signals with unlimitedly high frequency components, such superluminal velocities do not violate Einstein causality, thus group, signal, and energy velocities are ≤ c where c is the vacuum velocity of light. In this letter I shall show that frequency band limitation is a fundamental property of signals and that such signals containing only evanescent modes can violate Einstein causality.
PACS: 03.65.-w – Quantum mechanics / 03.50.De – Maxwell theory: general mathematical aspects / 03.30.+p – Special relativity
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999