On the application of the Kramers-Kronig relations to the barrier interaction time problem

Details On the application of the Kramers-Kronig relations to the barrier interaction time problem On the application of the Kramers-Kronig relations to the barrier interaction time problem

Jan 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..458..932g&link_type=abstract

Space technology and applications international forum -1999. AIP Conference Proceedings, Volume 458, pp. 932-937 (1999).

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Electromagnetic Wave Propagation, Radiowave Propagation

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It is shown that the two components of the complex characteristic interaction time τ(ϖ)=τ1(ω)-iτ2(ω) for classical electromagnetic waves with an arbitrary shaped barrier are not entirely independent quantities, but are connected by 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.

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