All this radiation is traveling in the same direction, and the null vector k = \ partial _ v plays the role of a wave vector.
32.
Because the hyperlens supports the propagation of a very broad spectrum of wave vectors, it can magnify arbitrary objects with sub-diffraction-limited resolution.
33.
However it is in fact an inhomogeneous wave whose power flow ( given by the Poynting vector ) is not exactly in the direction of the wave vector.
34.
In the language of dimensional analysis this means that the exponents N count wave vector factors ( a reciprocal length k = 1 / L _ 1 ).
35.
From this equation we see that the circularly polarized light with the frequency \ omega should induce a magnetization along the wave vector \ vec { k }.
36.
Where " H " represents the effective mass of the electrons in the crystal, and k _ m is the wave vector of the conduction electrons.
37.
Introducing this weak perturbation has significant effects on the solution to the Schr�dinger equation, most significantly resulting in a band gap between wave vectors in different Brillouin zones.
38.
As a result the aggregate will be split in high and low energy components when the kinetic energy increases and the wave vector approaches the length of the reciprocal lattice vectors.
39.
In other words, we need to calculate the energies ( or frequencies ) of the phonons as a function of their wave vector's " k ".
40.
For long wavelength ( short wave vector ) spin wave the resulting spin precession has a very low frequency and the spin waves can be treated quantum mechanical description is needed.