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On the Theory of Parametric Excitation of Magnetostatic Modes in Infinite Ferromagnetic Plates by Parallel Pumping
Author(s) -
Dintner H.,
Klupsch Th.
Publication year - 1972
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2220540212
Subject(s) - excitation , physics , instability , parametric statistics , ferromagnetism , field (mathematics) , condensed matter physics , microwave , quantum electrodynamics , mathematical analysis , mechanics , mathematics , quantum mechanics , pure mathematics , statistics
Based on the conception of a generalized Polder tensor, the Damon‐Eshbach theory of magnetostatic modes propagating in infinite ferromagnetic plates magnetized parallel to the surfaces is extended including a microwave field parallel to the de field. Restricting to modes obeying the parametric resonance condition, a set of equations determining the mode parameters is derived which exhibit the description of instabilities. The critical microwave field strength h c , for setting‐in the instability with respect to the whole system is calculated for X‐band pump frequencies within the volume mode region using YIG material parameters by introducing a phenomenological damping constant. h c , plotted over the static field strength (“butterfly curve”) appears as a smooth curve because of a favoured excitation of modes situated within a quasi‐continuous part of the spectrum. The possibility of an excitation of surface modes with high pumping efficiencies is suggested.