Premium
On the application of the Kramers‐Kronig relations to the interaction time problem
Author(s) -
Gasparian V.,
Schön G.,
Ruiz J.,
Ortuño M.
Publication year - 1998
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/(sici)1521-3889(199812)7:7/8<756::aid-andp756>3.0.co;2-d
Subject(s) - kramers–kronig relations , analogy , physics , capacitive sensing , mathematical analysis , theoretical physics , classical mechanics , quantum mechanics , computer science , mathematics , philosophy , linguistics , refractive index , operating system
It is shown that the two components of the complex characteristic interaction time τ(ω) = τ 1 (ω) — i τ 2 (ω) for classical electromagnetic waves with an arbitrary shaped barrier are not entirely independent quantities, but are connected by the Kramers‐Kronig relations. The corresponding macroscopic sum rule for the complex time is also derived. An analogy between the interaction time problem and an electrical circuit with capacitive and conducting components is established from which we propose that the effective crossing time should be the maximum of the two components.