Dispersion relations


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Dispersion relations

Relations between the real and imaginary parts of a response function. A response function relates a cause and its effect through an integral equation. The term dispersion refers to the fact that the index of refraction of a medium is a function of frequency. In 1926 H. A. Kramers and R. Kronig showed that the imaginary part of an index of refraction (that is, the absorptivity) determines the real part (that is, the refractivity); this is called the Kramers-Kronig relation. The term dispersion relation is now used for the analogous relation between the real and imaginary parts of the values of any response function.

References in periodicals archive ?
Figure 3 shows, in long wave approximation, the soft branches of the dispersion relation for [[GAMMA] = 1 in the absence of intermolecular forces ([PHI] = 0) and for [PHI] = 0.
Next, having studied the dispersion relation for the eastern Baltic Proper, we present the first derivative in the series as
Using (8), we can find the dispersion relation for coastal-trapped waves in the explicit form.
The dispersion relation, the dispersion curves of which are graphically presented in Fig.
According to the dispersion relation, coastal-trapped waves in the low-frequency range propagate with the shallower water on their right.