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 ?

This study adopts the approach of immersed plate for acquiring dispersion relations for three-dimensional waveguide of rectangular cross-section immersed in perfect fluid using SAFE procedure.

Calculating Dispersion Relations for Waveguide Immersed in Perfect Fluid

Caption: Figure 2: Dispersion relations [omega](q) of Cu and Ni calculated using the present theory compared to the experimental values (Expt.) [23].

Thermodynamic Properties and Anharmonic Effects in XAFS Based on Anharmonic Correlated Debye Model Debye-Waller Factors

DSR type theories predict a modified dispersion relation compared to usual dispersion relation of special relativity.

Quantum Gravity Effects in Statistical Mechanics with Modified Dispersion Relation

Two dispersion relations (9) and (25) are transcendent equations in which the wave frequency, [omega], is a complex quantity: Re([omega]) + Im([omega]), while the axial wave number, [k.sub.z], is a real variable.

Modeling Kelvin-Helmholtz Instability in Soft X-Ray Solar Jets

For Figure 1, with wave vectors [[bar.k].sup.i.sup.TE] = [??][k.sup.TE.sub.0x] + [??][k.sup.TE.sub.y] (incident) and [[bar.k].sub.r.sup.TE] = [??][k.sup.TE.sub.0x] + [??][k.sup.TE.sub.y] (reflection) in the isotropic medium and [[bar.k].sub.t.sup.TE] = [??][k.sup.TE.sub.tx] (transmission) in the biaxial anisotropic medium, the dispersion relations can be expressed as

A Wave Splitter with Simple Structure Based on Biaxial Anisotropic Medium

5.1 Dispersion relation for case of electrically open circuit

Propagation of love type wave in piezoelectric layer overlying non-homogeneous half-space

In this paper, wave dispersion relations of single anisotropic layer were presented.

Calculation of wave dispersion curves in multilayered composite-metal plates

Implementation of this ultimately leads to the evolution of a set of four homogeneous equations, followed by the dispersion relation (as obtained by collecting the coefficients of unknown constants) given as

Flux density through guides with microstructured twisted clad DB medium

The calculated lattice constant, bulk modulus, magnetic moment, electronic band structure, Fermi surface, and phonon dispersion relations are discussed in Section 3.

First principles study of cerium monochalcogenides

Depine, "Uniaxial dielectric media with hyperbolic dispersion relations," Microwave Opt.

LOCALIZED MONOCHROMATIC AND PULSED WAVES IN HYPERBOLIC METAMATERIALS

In order to derive the dispersion relations, the solution

Deformation waves in microstructured solids and dimensionless parameters/Deformatsioonilained mikrostruktuuriga materjalides ja dimensioonita parameetrid