THEORY OF THE PARAMETRICALLY COUPLED OSCILLATIONS IN FERRITE

LI YIN-YUAN; XU ZHENG-YI; LIU DA-QIAN

doi:10.7498/aps.17.117

Abstract
In this article the parametrically coupling of oscillations in a small ellipsoid of ferrite under the excitation of an uhf pumping of any spatial distribution is discussed. It is pointed out that the coupled oscillations may be induced through the two types of driving, field driving and magnetization driving. A special case of the former was recently discovered by Denton, who used a longitudinal pumping field uniform in space. A special example of the latter is found in Suhl's theoretical analysis and a number of experimental works after him. The pumping field transverse in direction and spatially uniform does not induce the coupled oscillations directly, but the rf magnetization of the Kittel precession excited by the pumping becomes the driving force of the oscillations. For each type of a uniform pumping we obtain from a set of differential equations the magnetostatic potential functions (the first order approximation) as linear combinations of Walker's functions. These solutions are different from those given by MOHOCOB. Making. use of the boundary conditions at the ferrire surface we find that for the Walker modes involved in the oscillations to be coupled, thtir indices must satisfy certain condi'ions. For the case of magnetostatic operations the dc magnetic field is tuned to a pair of the Walker modes, the potential functions may be reduced greatly. By studying the power drawn by the coupled oscillations from the pumping, we obtain the selection rules of a pair of magnetostatic modes excited by a pumping field of any given spatial distribution. We point out that for the determination of the amplitudes of the oscillations the equations derived from the conservation of energy and from the equality of the number of quanta emitted must be used. Finally, the threshold intensity of Denton's pumping field is derived using Suhl's method. We indicate that this method is based on a perturbation calculation.
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LI YIN-YUAN,

XU ZHENG-YI,

LIU DA-QIAN
References

[1]

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Vol. 17, Issue 3 - 1961-02-05

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