Parametric Excitation of Surface Magnetostatic Modes in an Axially Magnetized Elliptic Cylinder under Longitudinal Pumping

  • M. A. Popov Taras Shevchenko National University of Kyiv
Keywords: parametric processes, surface magnetostatic oscillations, elliptic cylinder, yttrium-iron garnet, film ferrite resonator

Abstract

A rigorous analytical theory of parametric excitation under the longitudinal pumping has been developed for the surface magnetostatic modes of a long elliptic ferrite cylinder magnetized along its axis with regard for the boundary conditions at the surface of the cylinder. It is shown that a pair of frequency-degenerated counter-propagating surface modes at half the pumping frequency can be parametrically excited, and the expressions for the corresponding parametric excitation threshold have been derived. The threshold demonstrates a strong dependence on the mode number and elliptic cylinder’s aspect ratio and tends from above for the large aspect ratio to the value deduced on the basis of the plane-wave analysis. The simple analytical relation between the ratio of axes of the high-frequency magnetization polarization ellipse of excited surface magnetostatic oscillations and the parametric excitation threshold is obtained, discussed, and graphically illustrated.

References

A.G. Gurevich and G.A. Melkov, Magnetization Oscillations and Waves (CRC Press, Boca Raton, 1996).

V.S. L'vov, Nonlinear Spin Waves (Nauka, Moscow, 1987) (in Russian).

H. Suhl, J. Phys. Chem. Solid 1, 209 (1957).

http://dx.doi.org/10.1016/0022-3697(57)90010-0

I.V. Zavislyak and M.A. Popov, in Yttrium: Compounds, Production and Applications, edited by B.D. Volkerts (Nova Science Publ., New York, 2011).

Yu.M. Yakovlev, Fiz. Tverd. Tela 10, 2431 (1968).

I.V. Zavislyak, Ph. D. thesis (Kyiv Univ., 1980).

E. Schlomann and R.I. Joseph, J. Appl. Phys. 32, 1006 (1961).

http://dx.doi.org/10.1063/1.1736150

Ya.A. Monosov, Nonlinear Ferromagnetic Resonance (Nauka, Moscow, 1971) (in Russian).

I.V. Zavislyak, G.P. Golovach, M.A. Popov, and V.F. Romanyuk, J. of Commun. Technol. and Electron. 51, 203 (2006).

http://dx.doi.org/10.1134/S1064226906020112

R.E. De Wames and T. Wolfram, Appl. Phys. Lett. 16, 305 (1970).

http://dx.doi.org/10.1063/1.1653205

V. Kambersky and C.E. Patton, Phys. Rev. B 11, 2668 (1975).

http://dx.doi.org/10.1103/PhysRevB.11.2668

G.A. Melkov and S.V. Sholom, Zh. Tekh. Fiz. 60, No. 8, 118 (1990).

M.A. Popov and I.V. Zavislyak, J. of Commun. Technol. and Electron. 57, 468 (2012).

http://dx.doi.org/10.1134/S1064226912050087

M. Sparks, R. Loudon and C. Kittel, Phys. Rev. 122, 791 (1961).

http://dx.doi.org/10.1103/PhysRev.122.791

Published
2019-01-18
How to Cite
Popov, M. (2019). Parametric Excitation of Surface Magnetostatic Modes in an Axially Magnetized Elliptic Cylinder under Longitudinal Pumping. Ukrainian Journal of Physics, 60(5), 452. https://doi.org/10.15407/ujpe60.05.0452
Section
Solid matter