552
E. Kamenetskii
Fig. 19.14 The rays 1 → F → 1 and 1 → F → 1 acquire different phases when are reflected
by the ferrite
in our structure of a MDM ferrite disk in a cavity? We use the Walker equation for a
MS scalar wave function. It also allows to construct a wave packet from the eigenfunctions by the superposition principle. We have to use a description of the spectral
response functions of the system with respect to two external parameters—a bias
magnetic field H 0 and a signal frequency ω— and analyze the correlations between
the spectral response functions at different values of these external parameters. It
means that, in neglect of losses, there should exist a certain uncertainty limit stating
that
f H 0 ≥ uncertaint y limit
(19.38)
This uncertainty limit is a constant which depends on the disk size parameters
and the ferrite material property (such as saturation magnetization) [57]. Beyond the
frames of the uncertainty limit (38) one has continuum of energy. The fact that there
are different mechanisms of quantization allows to conclude that for MDM oscillations in a quasi-2D ferrite disk both discrete energy eigenstate and a continuum of
energy can exist. In quantum mechanics, the uncertainty principle says that the values
of a pair of canonically conjugate observables cannot both be precisely determined in
any quantum state. In a formal harmonic analysis in classical physics, the uncertainty
principle can be summed up as follows: A nonzero function and its Fourier transform
cannot be sharply localized. This principle states also that there exist limitations in
performing measurements on a system without disturbing it. Basically, formulation
of the main statement of the MDM-oscillation theory is impossible without using a
classical microwave structure. If a MDM particle is under interaction with a “classical
electrodynamics” object, the states of this classical object change. The character and
value of these changes depend on the MDM quantized states and so can serve as its
qualitative characteristics. The microwave measurement reflects interaction between
a microwave cavity and a MDM particle. It is worth noting that for different types
of subwavelength particles (ferrite disks), the uncertainty limits may be different.
The fact of the existence of the uncertainty limit (38) is indirectly confirmed
by the experimental results presented in [100]. In the microwave structure shown
in Fig. 19.15a, a ferrite disk is placed in a cavity with a very low Q factor. The
wide bandwidth is due to losses caused by the test samples embedded in the cavity.
E. Kamenetskii
Fig. 19.14 The rays 1 → F → 1 and 1 → F → 1 acquire different phases when are reflected
by the ferrite
in our structure of a MDM ferrite disk in a cavity? We use the Walker equation for a
MS scalar wave function. It also allows to construct a wave packet from the eigenfunctions by the superposition principle. We have to use a description of the spectral
response functions of the system with respect to two external parameters—a bias
magnetic field H 0 and a signal frequency ω— and analyze the correlations between
the spectral response functions at different values of these external parameters. It
means that, in neglect of losses, there should exist a certain uncertainty limit stating
that
f H 0 ≥ uncertaint y limit
(19.38)
This uncertainty limit is a constant which depends on the disk size parameters
and the ferrite material property (such as saturation magnetization) [57]. Beyond the
frames of the uncertainty limit (38) one has continuum of energy. The fact that there
are different mechanisms of quantization allows to conclude that for MDM oscillations in a quasi-2D ferrite disk both discrete energy eigenstate and a continuum of
energy can exist. In quantum mechanics, the uncertainty principle says that the values
of a pair of canonically conjugate observables cannot both be precisely determined in
any quantum state. In a formal harmonic analysis in classical physics, the uncertainty
principle can be summed up as follows: A nonzero function and its Fourier transform
cannot be sharply localized. This principle states also that there exist limitations in
performing measurements on a system without disturbing it. Basically, formulation
of the main statement of the MDM-oscillation theory is impossible without using a
classical microwave structure. If a MDM particle is under interaction with a “classical
electrodynamics” object, the states of this classical object change. The character and
value of these changes depend on the MDM quantized states and so can serve as its
qualitative characteristics. The microwave measurement reflects interaction between
a microwave cavity and a MDM particle. It is worth noting that for different types
of subwavelength particles (ferrite disks), the uncertainty limits may be different.
The fact of the existence of the uncertainty limit (38) is indirectly confirmed
by the experimental results presented in [100]. In the microwave structure shown
in Fig. 19.15a, a ferrite disk is placed in a cavity with a very low Q factor. The
wide bandwidth is due to losses caused by the test samples embedded in the cavity.