19 Magnetoelectric Near Fields
553
Fig. 19.15 a A structure of a rectangular waveguide cavity. b Modification of the Fano-resonance
shape. At variation of a bias magnetic field, (H 0 ) 1 < (H 0 ) 2 < (H 0 ) 3 , the Fano line shape of a
MDM resonance can be completely damped. The scattering cross section of a single Lorentzian
peak corresponds to a pure dark mode
Figure 19.15b shows how a bias magnetic field tunes the shape of the MDM resonance. It can be seen that as one approaches the top of the cavity resonance curve,
the effect of Fano resonance collapses, the Fano line shape is completely decays,
and a single Lorentz peak is observed. The Lorentzian response is a narrow, highly
symmetric peak. The scattering cross section corresponds to a pure dark mode. All
this means that, within uncertainty limit (19.38), it is possible to carry out observations for a very wide linewidth of the cavity mode ( f is very big) and an extremely
narrow linewidth of the MDM resonance peak (H 0 is very small).
In the above studies, we considered the G modes (with a scalar MS membrane
function ˜
η and the ND BC) and the L modes (with vector MS membrane function
˜
V ≡
˜
B
˜
ϕ
and the EM BC). The G-mode spectral analysis is more appropriate to
use at the regime of a constant frequency and the bias magnetic-field variation, while
the L-mode analysis—at a constant bias magnetic field and the frequency variation.
These two spectral problems are bridged within uncertainty limit (19.38).
19.5 Transfer of Angular Momentum to Dielectric
Materials, Metals and Biological Structures
from MDM Resonators
Due to unique structures of twisted ME near fields, one can observe angular
momentums (spin and orbital) transfer to electric polarization in a dielectric sample
(Fig. 19.16). Experiments [101, 102] show explicit shifts of the MDM resonance
peaks due to the dielectric loading of the ferrite disk. This effect was explained in
[56, 57, 102]. The mechanical torque exerted on a given electric dipole in a dielectric sample is defined as a cross product of the MDM electric field and the electric
553
Fig. 19.15 a A structure of a rectangular waveguide cavity. b Modification of the Fano-resonance
shape. At variation of a bias magnetic field, (H 0 ) 1 < (H 0 ) 2 < (H 0 ) 3 , the Fano line shape of a
MDM resonance can be completely damped. The scattering cross section of a single Lorentzian
peak corresponds to a pure dark mode
Figure 19.15b shows how a bias magnetic field tunes the shape of the MDM resonance. It can be seen that as one approaches the top of the cavity resonance curve,
the effect of Fano resonance collapses, the Fano line shape is completely decays,
and a single Lorentz peak is observed. The Lorentzian response is a narrow, highly
symmetric peak. The scattering cross section corresponds to a pure dark mode. All
this means that, within uncertainty limit (19.38), it is possible to carry out observations for a very wide linewidth of the cavity mode ( f is very big) and an extremely
narrow linewidth of the MDM resonance peak (H 0 is very small).
In the above studies, we considered the G modes (with a scalar MS membrane
function ˜
η and the ND BC) and the L modes (with vector MS membrane function
˜
V ≡
˜
B
˜
ϕ
and the EM BC). The G-mode spectral analysis is more appropriate to
use at the regime of a constant frequency and the bias magnetic-field variation, while
the L-mode analysis—at a constant bias magnetic field and the frequency variation.
These two spectral problems are bridged within uncertainty limit (19.38).
19.5 Transfer of Angular Momentum to Dielectric
Materials, Metals and Biological Structures
from MDM Resonators
Due to unique structures of twisted ME near fields, one can observe angular
momentums (spin and orbital) transfer to electric polarization in a dielectric sample
(Fig. 19.16). Experiments [101, 102] show explicit shifts of the MDM resonance
peaks due to the dielectric loading of the ferrite disk. This effect was explained in
[56, 57, 102]. The mechanical torque exerted on a given electric dipole in a dielectric sample is defined as a cross product of the MDM electric field and the electric