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Kramers-Kronig analysis of reflection data
Abstract
A method is given for using the Kramers-Kronig dispersion relations to evaluate optical and dielectric parameters of materials from normal incidence reflectance data when data over only a limited spectral range is available. No assumptions are needed concerning the behaviour of the reflectance data outside the experimental range, and no extrapolations of data are required. As an example, the extreme ultra-violet reflectance data of potassium iodide is analysed by this method.
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In the citing paper
“The Kramers-Kronig relations are bidirectional complex relations that work on the principle of causality and are commonly used in optics to connect the real and imaginary parts of a response function, typically the optical permittivity.”
From Robust phase correction techniques for terahertz time-domain reflection spectroscopy (2024) · cites this paper as [33]
In the citing paper
“These two equations state that the phase of the reflection coefficient can be extracted from its amplitude and, conversely, the amplitude of the reflection coefficient can be extracted from its phase.”
From Robust phase correction techniques for terahertz time-domain reflection spectroscopy (2024) · cites this paper as [33]
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“…signal processing (e.g., cochlear implants [29], neural [30, 31] and cardiac monitoring [32]), and spectroscopies (e.g., optical [11, 19, 33, 34], terahertz [35], impedance [36], dielectric [37], magnetic resonance [38, 39]), where it is often referred to as a Kramers-Kronig “transform" or…”
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Metadata
- Authors
- Roessler, D. M.
- Affiliations
- University of London (GB)
- Corresponding author
- Roessler, D M
- Venue
- British Journal of Applied Physics
- Publisher
- IOP Publishing
- Published
- 1965-08
- Volume
- 16
- Issue
- 8
- Pages
- 1119-1123
- ISSN
- 0508-3443 (ISSN-L)
- OpenAlex
- W2056222652
- Cited by
- 264
- References
- 6
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 10 · 2023: 2 · 2022: 8 · 2021: 4 · 2020: 7 · 2019: 8 · 2018: 17 · 2017: 3 · 2016: 5 · 2015: 6 · 2014: 6 · 2013: 2 · 2012: 2
- FWCI
- 16.24
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- British Journal of Applied Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Optical Polarization and Ellipsometry
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Optical and Acousto-Optic Technologies
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Electrical and Electromagnetic Research
- Keywords
- Kramers-Kronig dispersion relations, reflectance spectroscopy, optical constants, dielectric properties, normal incidence reflectance, potassium iodide
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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