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Broadband ultrafast self-heterodyned chiro-optical spectroscopy
Cerullo G +14 more
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On the Kramers-Kronig relations
Rheologica Acta, 2018We provide a new derivation of the Kramers-Kronig relations on the basis of the Sokhotski-Plemelj equation with detailed mathematical justifications. The relations hold for a causal function, whose Fourier transform is regular (holomorphic) and square-integrable.
José M. Carcione, Jing Ba
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Kramers—Kronig Relations and Sum Rules in Nonlinear Optical Spectroscopy
Applied Spectroscopy, 2004The full potential of the Kramers–Kronig relations and sum rules for nonlinear susceptibilities has unfortunately drawn relatively little attention in nonlinear optical spectra analysis. In this feature article a simple treatment of an anharmonic oscillator model in description of the nonlinear susceptibility of media and holomorphic properties of the ...
Erik Vartiainen +2 more
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Note on the Kramers-Kronig Relations
Journal of Applied Physics, 1955The explicit form of the relationship between the real and imaginary parts of a physically realizable network function is correlated with the alternate conventions available for such problems. The transformation from a linear frequency scale to a logarithmic one is simply effected by considering the Mellin transforms of the appropriate functions.
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Practical Applications of the Kramers–Kronig Relations
Corrosion, 1991A technique is presented for using the Kramers–Kronig (KK) relations to evaluate the consistency of impedance data that do not exhibit a DC limit. The approach presented here differs from current algorithms because extrapolation of experimental data, required to evaluate the integral relations, is achieved without the assumption of an equivalent ...
Mark E. Orazem +2 more
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Applications of Kramers-Kronig relations
2017 IEEE 23rd International Symposium for Design and Technology in Electronic Packaging (SIITME), 2017Nowadays, electrochemical impedance spectroscopy has become a quite familiar method because it brings important information regarding the processes that taking place at the interface between the electrode and the electrolyte solution. The main issue with this method is the veracity of the data obtained, because sometimes we get negative or the order of
I. B. Brezeanu +3 more
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KRAMERS--KRONIG RELATIONS AND SUM RULES.
Journal of Mathematical Physics, 1972The concept of moments, which are integrals of positive or negative integral powers ωn weighted by real or imaginary parts of admittance functions, is here generalized so as to be applied to a wide category of admittance functions, including Lorentzian functions.
R Kubo, M Ichimura
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Kramers-Kronig relations for an interferometer
Optics Communications, 1997Abstract The treatment in the literature of the transfer functions for interferometers does not allow for a proper use of the Kramers-Kronig (KK) relations between amplitude and phase. We will present a systematic description of transfer functions.
Kop, H.J. +3 more
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