19 Magnetoelectric Near Fields
543
Fig. 19.7 Pseudoscalar quantity of the magnetization in a ferrite disk as a “source” of the helicity
factor at the MDM resonance
Fig. 19.8 The active and reactive power flows of the ME field at the MDM resonance. a An upward
directed bias magnetic field; b a downward directed bias magnetic field. The active and reactive
power flows are mutually perpendicular. These flows constitute surfaces, which can be considered as
deformed versions of the complex planes, i.e., as Riemann surfaces. When one changes a direction
of a bias field, the active power flow changes its direction as well. At the same time, the reactive
power flow does not change its direction when the direction of a bias field is changed
1
2
Re
E ·
H
∗
=
1
2
Im
E ×
H
∗
z
(19.37)
The numerical results in [69] clearly show that in a vacuum region where the
helicity-density factor exist, the reactive power flow is observed as well. So, in a
region near a ferrite disk, the reactive power flow is accompanied by the helicity
factor or, in other words, by the ME-energy density.
The pseudoscalar parameter (19.36) and the helicity factor F, arise due to spinorbit interaction. Such PT-symmetric parameters, mixing electric and magnetic
fields, are associated with the axion-electrodynamic term, leading to modification of
543
Fig. 19.7 Pseudoscalar quantity of the magnetization in a ferrite disk as a “source” of the helicity
factor at the MDM resonance
Fig. 19.8 The active and reactive power flows of the ME field at the MDM resonance. a An upward
directed bias magnetic field; b a downward directed bias magnetic field. The active and reactive
power flows are mutually perpendicular. These flows constitute surfaces, which can be considered as
deformed versions of the complex planes, i.e., as Riemann surfaces. When one changes a direction
of a bias field, the active power flow changes its direction as well. At the same time, the reactive
power flow does not change its direction when the direction of a bias field is changed
1
2
Re
E ·
H
∗
=
1
2
Im
E ×
H
∗
z
(19.37)
The numerical results in [69] clearly show that in a vacuum region where the
helicity-density factor exist, the reactive power flow is observed as well. So, in a
region near a ferrite disk, the reactive power flow is accompanied by the helicity
factor or, in other words, by the ME-energy density.
The pseudoscalar parameter (19.36) and the helicity factor F, arise due to spinorbit interaction. Such PT-symmetric parameters, mixing electric and magnetic
fields, are associated with the axion-electrodynamic term, leading to modification of