It is shown that the two characteristic interaction times tau(1)(omega) and
tau(2)(omega) for classical electromagnetic waves with an arbitrarily shap
ed barrier are not independent quantities, but are connected by Kramers-Kro
nig relations for the real and imaginary components of a causal magnitude.
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 frequency dependent components is establish
ed.