On the Kramers–Kronig Relation for the Phase Spectrum
The Accepted Result for the Kramers–Kronig Relation for the Phase Spectrum Ψ(Ω) of the Complex Reflection Coefficient at Normal Incidence R(Ω) is Shown to Contain an Error. Previously, Phase Shifts Computed from Reflectance Data using Kramers-Kronig Analysis Have in Some Cases Been Shifted by ± Π with No Basic Justification Other Than a Claim that This Provides Agreement with Accepted Values and Consistency with the Incomplete Stokes Treatment. the Theoretical Basis for This Shift is Provided in This Short Note. We Derive the Correct Formula, and Show that Well-Known Model Dielectrics Are Consistent with Our Result and Not the Accepted Result. © 1995 Taylor & Francis Ltd.
P. L. Nash et al., "On the Kramers–Kronig Relation for the Phase Spectrum," Journal of Modern Optics, vol. 42, no. 9, pp. 1837 - 1842, Taylor and Francis Group; Taylor and Francis, Jan 1995.
The definitive version is available at https://doi.org/10.1080/09500349514551601
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01 Jan 1995