Nonlinear damping of high-power magnetostatic waves in yttrium–iron–garnet films

Scott, Mark M.; Patton, Carl E.; Kostylev, Mikhail; Kalinikos, B. A.

doi:10.1063/1.1699503

Cited by 50 publications

(26 citation statements)

References 19 publications

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“…Fig. 2(b), results from a relatively short evolution distance as well as higher-order nonlinearity 34,35 and nonlinear damping 35,36,37 that are neglected in the simulations. In summary, this work demonstrates self-cavitating envelope DSWs for spin waves.…”

Section: Figures 3 and 4 Present Data Revealing That Dsw Formation Ismentioning

confidence: 99%

Observation of Self-Cavitating Envelope Dispersive Shock Waves in Yttrium Iron Garnet Thin Films

et al. 2017

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The formation and properties of envelope dispersive shock wave (DSW) excitations from repulsive nonlinear waves in a magnetic film are studied. Experiments involve the excitation of a spin-wave step pulse in a low-loss magnetic Y 3 Fe 5 O 12 thin film strip, in which the spin-wave amplitude increases rapidly, realizing the canonical Riemann problem of shock theory. Under certain conditions, the envelope of the spin-wave pulse evolves into a DSW that consists of an expanding train of nonlinear oscillations with amplitudes increasing from front to back, terminated by a black soliton. The onset of DSW selfcavitation, indicated by a point of zero power and a concomitant 180 phase jump, is observed for sufficiently large steps, indicative of the bidirectional dispersive hydrodynamic nature of the DSW. The experimental observations are interpreted with theory and simulations of the nonlinear Schrödinger equation.

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Section: Figures 3 and 4 Present Data Revealing That Dsw Formation Ismentioning

confidence: 99%

Observation of Self-Cavitating Envelope Dispersive Shock Waves in Yttrium Iron Garnet Thin Films

et al. 2017

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“…Its crystalline structure and ferrimagnetism were studied by Geller and Gilleo [2]. Since its discovery in 1956, the YIG have been the subject of extensive investigations [3][4][5][6][7][8] and it remains the best microwave material in the frequency range 1-10 GHz [9]. The YIG has many attractive characteristics such as low dielectric loss, and narrow resonance line width in microwave regime [10].…”

Section: Introductionmentioning

confidence: 98%

Mössbauer studies of Y3Fe5 − xAlxO12 nanopowders prepared by mechanochemical method

et al. 2010

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A series of Al substituted yttrium iron garnet (Al-YIG) nanopowders with nominal formula of Y 3 Fe 5−x Al x O 12 which x varied in steps of 0.0, 0.5, 1.0, 1.5 and 2.0 were prepared via mechanochemical processing. The samples were milled for 40 h in a high energy planetary mill and then calcined at different temperatures from 1,300 to 1,100 • C. X-ray diffraction patterns reveal that the structure of nanopowders are bcc and the garnet phase has been obtained after calcining. The average crystallite sizes are in the range of 24-45 nm, using Scherrer's formula. The lattice constant of the samples decreases by increasing Al concentration. To investigate the site preference of Al 3+ ions, room temperature 57 Fe Mössbauer spectra for the samples were recorded and analyzed. The hyperfine field values for octahedral and tetrahedral sites of the samples decrease by increasing x value. This decrease in magnetic hyperfine field reflects a reduction of the superexchange interaction by the progressive substitution of Al for Fe, which is also evident in the behavior of the magnetization and T C for the samples.

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“…The same nonlinear-damping term was introduced in Ref. [19]. Further, σ 1 , σ 2 are the XPM/SPM (cross/self-phase-modulation) ratios for the conservative and dissipative nonlinear parts of the equations.…”

Section: The Modelmentioning

confidence: 99%

“…(19), (20), that do not contain derivatives and therefore admit solutions with discontinuities of the first derivatives, the solution is asymmetric in the region of |z| < z bif , where z bif is to be found from Eq. (24), and the solution continues as the symmetric one to |z| ≥ z bif .…”

Section: B Asymmetric Solutionsmentioning

confidence: 99%

Ginzburg-Landau model of Bose-Einstein condensation of magnons

et al. 2010

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We introduce a system of phenomenological equations for Bose-Einstein condensates of magnons in the one-dimensional setting. The nonlinearly coupled equations, written for amplitudes of the right-and left-traveling waves, combine basic features of the Gross-Pitaevskii and complex Ginzburg-Landau models. They include localized source terms, to represent the microwave magnon-pumping field. With the source represented by the δ-functions, we find analytical solutions for symmetric localized states of the magnon condensates. We also predict the existence of asymmetric states with unequal amplitudes of the two components. Numerical simulations demonstrate that all analytically found solutions are stable. With the δ-function terms replaced by broader sources, the simulations reveal a transition from the single-peak stationary symmetric states to multi-peak ones, generated by the modulational instability of extended nonlinear-wave patterns. In the simulations, symmetric initial conditions always converge to symmetric stationary patterns. On the other hand, asymmetric inputs may generate nonstationary asymmetric localized solutions, in the form of traveling or standing waves. Comparison with experimental results demonstrates that the phenomenological equations provide for a reasonably good model for the description of the spatiotemporal dynamics of magnon condensates.

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Nonlinear damping of high-power magnetostatic waves in yttrium–iron–garnet films

Cited by 50 publications

References 19 publications

Observation of Self-Cavitating Envelope Dispersive Shock Waves in Yttrium Iron Garnet Thin Films

Observation of Self-Cavitating Envelope Dispersive Shock Waves in Yttrium Iron Garnet Thin Films

Mössbauer studies of Y3Fe5 − xAlxO12 nanopowders prepared by mechanochemical method

Ginzburg-Landau model of Bose-Einstein condensation of magnons

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