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.
Caption: Figure 2: Dispersion relations
[omega](q) of Cu and Ni calculated using the present theory compared to the experimental values (Expt.) .
DSR type theories predict a modified dispersion relation
compared to usual dispersion relation
of special relativity.
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.
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
5.1 Dispersion relation
for case of electrically open circuit
In this paper, wave dispersion relations
of single anisotropic layer were presented.
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
The calculated lattice constant, bulk modulus, magnetic moment, electronic band structure, Fermi surface, and phonon dispersion relations
are discussed in Section 3.
Depine, "Uniaxial dielectric media with hyperbolic dispersion relations
," Microwave Opt.
In order to derive the dispersion relations
, the solution