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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 in optical data inversion
Physical Review B, 1991Some remarks are made on the use of Kramers-Kronig relations in optical data inversion. It is shown that symmetry relations imposed on the optical constant should be taken into account when modeling the tails of the absorption and extinction curves.
, Peiponen, , Vartiainen
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2000
The Kramers-Kronig relations are a special case of the Hilbert transforms. They are those dispersion relations that relate the complex parts of the susceptibility of a material. Thus, they relate the complex parts of the dielectric function and the complex parts of the propagation vectors, such as the index of refraction and the loss factor or ...
Joseph H. Simmons, Kelly S. Potter
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The Kramers-Kronig relations are a special case of the Hilbert transforms. They are those dispersion relations that relate the complex parts of the susceptibility of a material. Thus, they relate the complex parts of the dielectric function and the complex parts of the propagation vectors, such as the index of refraction and the loss factor or ...
Joseph H. Simmons, Kelly S. Potter
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Kramers-Kronig relations in FWM spectroscopy
Journal of Physics B: Atomic, Molecular and Optical Physics, 1994The Kramers-Kronig (K-K) relations are verified for the third-order non-linear optical susceptibilities which are described by known expressions, obtained by the density matrix formalism. Possible applications of the K-K relations in non-linear Raman spectroscopy techniques are also discussed. Coupling of the real and imaginary parts of CARS excitation
P P Kircheva, G B Hadjichristov
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Numerical evaluation of Kramers—Kronig relations
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1967Abstract Optical rotatory dispersion and circular dichroism are closely connected phenomena. Their interdependency is contained in the Kramers-Kronig relations which are, just as thermodynamic relations, of a very fundamental nature. As a matter of fact they apply to every physical system, where the response to an action from outside ...
C. A. Emeis +2 more
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2015
The Kramers-Kronig relations establish a fundamental relationship between the dispersions of the real and imaginary parts of 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 making use of the theory of ...
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The Kramers-Kronig relations establish a fundamental relationship between the dispersions of the real and imaginary parts of 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 making use of the theory of ...
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2010
The Kramers–Kronig relations (KKR) are relations between the real and imaginary part of the dielectric function. They are of a general nature and are based on the properties of a complex, analytical response function f(ω) = f 1(ω) + if 2(ω) fulfilling the following conditions:1 · The poles of f(ω) are below the real axis.
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The Kramers–Kronig relations (KKR) are relations between the real and imaginary part of the dielectric function. They are of a general nature and are based on the properties of a complex, analytical response function f(ω) = f 1(ω) + if 2(ω) fulfilling the following conditions:1 · The poles of f(ω) are below the real axis.
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On the Kramers-Kronig Relation for the Phase Spectrum
Journal of Modern Optics, 1995Abstract 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 ...
Patrick L. Nash +2 more
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On the Kramers-Kronig relations for ship motions1
International Shipbuilding Progress, 1962It is shown, for the case of forced simple harmonic heave, that if the damping parameter is known for all frequencies then the virtual mass parameter (minus its value at infinite frequency) is readily determined for all frequencies, and vice versa, by an integral transform (equations (3) and (4) ).
Kotik, Jack, Mangulis, Visvaldis
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2012
In this chapter we want to investigate some general relations between the real and imaginary parts of \(\tilde{n}\) or For more details see e.g. or [72W1, 82L1, 90K1, 96Y1, 07M1, 07S1] of Chap.1 and further references given therein.
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In this chapter we want to investigate some general relations between the real and imaginary parts of \(\tilde{n}\) or For more details see e.g. or [72W1, 82L1, 90K1, 96Y1, 07M1, 07S1] of Chap.1 and further references given therein.
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