Abstract
The Kramers–Kronig relations establish a fundamental relationship between the dispersions of the real and imaginary parts of the susceptibility or the dielectric function. This way refraction of light and energy dissipation appear to be interconnected phenomena. Kramers–Kronig relations are derived for both insulators and electrical conductors. Simple sum rules are derived, too.
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Specific References
M. Б. Bинoгpaдoвa, O. B. Pyдeнкo, A. П. Cyxopyкoв: Teopия Boлн; Mocквa Hayкa, Глaвнaя Peдaкция, Физикo-Maтeмaтичecкoй Литepaтypы, 1979, p. 62–65
A.П.Пpyдникoв, Ю.A.Бpычкoв, O.И.Mapичeв: Интeгpaлы и pяды, Moscow “Hayкa” 1981
General Literature to this Chapter
L.D. Landau, E.M. Lifshitz, Electrodynamics of continuous media, in A Course of Theoretical Physics, vol 8 (Pergamon Press, 1960)
O. Stenzel, An introduction, in The physics of thin film optical spectra (Springer, 2016)
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Stenzel, O. (2022). Linear Optical Constants III: The Kramers–Kronig Relations. In: Light–Matter Interaction. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-87144-4_15
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DOI: https://doi.org/10.1007/978-3-030-87144-4_15
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