On the Kramers-Kronig relation for the phase spectrum

摘要

The accepted result for the Kramers-Kronig- relation for the phase spectrun V(co), of the complex reflection coefficient at nprrrjal.incidence r(w) is shown io contain an error. Previously, phase shifts computed from reflectance data us ng Kramers-Kronig analysis have in some cases been shifted by ± ji with no basic justification other than a claim that this provides agreement with accepted values and consistency with the incomplete Stokes treatment. The the oretical basis for this shift is provided in this short note. We derive thecorrect formula, and show that well-known model dielectrics are consistent with our result and not the accepted result.