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The dependence of the auto‐oscillation frequency of parametric spin waves on the pumping power and inter mode interaction strengths
Author(s) -
Laulicht I.,
Sloutskin E.,
Bishop S. R.
Publication year - 2003
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.200301714
Subject(s) - oscillation (cell signaling) , physics , amplitude , excitation , parametric statistics , atomic physics , constant (computer programming) , quantum mechanics , chemistry , mathematics , statistics , biochemistry , computer science , programming language
Computer simulations of spin waves parametric excitations are carried out in the framework of the two modes model. The dependence of the auto‐oscillation (AO) frequency, f , on the pumping amplitude h is investigated. The results support the expression of Lvov et al. for this dependence in cases when the parametric excitation threshold, h th is very close to the auto‐oscillation threshold h osc . In cases when h osc is considerably larger than h th , a much better fit is obtained to a slightly modified expression: f = f 0 + B ([ h / h osc ] 2 –1) 0.5 where f 0 is the onset frequency and B is a constant. Support is given to the idea of Lvov et al. that auto oscillation evolves from an oscillation that is damped below h osc and becomes self sustained at h osc . We find that τ CO , the decay time of AO below h osc exhibits a critical slowing down power law: τ CO ∝ (1 – h / h osc ) –2.2 . The dependence of f on the inter mode interaction strengths when h is constant, satisfies the expression: f = D + C /( E + 2 T 11 + S 11 + 2 T 12 + S 12 ) where D , C , and E are constants and T 11 , T 12 , S 11 , and S 12 are the inter mode interaction strengths. This result supports the conjecture that the dependence of the auto‐oscillation frequency on the physical parameters is very similar to that of N 0 , the steady state value of the total number of parametric excitations.