On the Kramers–Kronig Relation for the Phase Spectrum

Author

Patrick L. Nash
R. J. Bell
Ralph William Alexander, Missouri University of Science and TechnologyFollow

Abstract

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.

Recommended Citation

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

Department(s)

Physics

International Standard Serial Number (ISSN)

1362-3044; 0950-0340

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Taylor and Francis Group; Taylor and Francis, All rights reserved.

Publication Date

01 Jan 1995