41. The dispersion relation looks much like the Coriolis term in the momentum equation notice the rotation rate and the factor of two. 42. The phenomenological way in which this was done was by taking experimental data and using the dispersion relations to compute new limits. 43. The second equation for " ? k " is known as the dispersion relation between the angular frequency and the wavenumber. 44. A dispersion relation for surface plasmons in the X-ray emission spectra of metals has been derived ( Harsh and Agarwal ). 45. Elementary particles, considered as matter waves, have a nontrivial dispersion relation even in the absence of geometric constraints and other media. 46. Note that the dispersion relation is the same as that for deep water surface waves by setting g ^ \ prime = g. 47. A "'Kohn anomaly "'is an anomaly in the dispersion relation of a phonon branch in a metal. 48. As a result, the long-wavelength modes are not stabilized by gravity, as implied by the dispersion relation derived above. 49. Where F is the electric field, E ( k ) is the energy dispersion relation , and k is the momentum wave vector. 50. For instance, the propagation constant of a hollow metal waveguide is a strong function of frequency ( a so-called dispersion relation ).
