The determination of the frequencies of magnetostatic modes in rectangular thin films of ferrimagnetic yttrium iron garnet

Storey, B E; Tooke, A O; Cracknell, A. P.; Przystawa, J.

doi:10.1088/0022-3719/10/6/017

Cited by 30 publications

(6 citation statements)

References 8 publications

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“…Let’s assume next, that the sample is a straight-edge resonator of rectangular shape. Then, using a magnetic wall approximation at the sample sides, we have , where a and b are the sample in-plane dimensions and n, m = 1,2,3 42 , 45 . Further, we will use these indices to label the magnetostatic modes.…”

Section: Theorymentioning

confidence: 99%

Nonlinear magnetoelectric effects in Al-substituted strontium hexaferrite

Liu

Popov

Zavislyak

et al. 2021

Sci Rep

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This report is on the observation and theory of electric field E induced non-linear magnetoelectric (NLME) effects in single crystal platelets of ferrimagnetic M-type strontium aluminum hexagonal ferrite. Using microwave measurement techniques, it was found that a DC electric field along the hexagonal c-axis results in significant changes in the saturation magnetization and uniaxial magneto-crystalline anisotropy field and these changes are proportional to the square of the applied static electric field. The NLME effects were present with or without an external bias magnetic field. The E-induced variation in magnetic order parameters is attributed to weakening of magnetic exchange and spin–orbit interactions since conduction electrons in the ferrite are effectively excluded from both interactions while being in transit from one Fe ion to another. We present a phenomenological theory which considers magneto-bielectric effects characterized by a quadratic term in electric field E in the free energy density. The coefficients for the NLME coupling terms have been calculated from experimental data and they do show variations with the Al substitution level and the largest rates of change of the saturation magnetization and anisotropy constant change with the applied power were observed for x = 0.4. It was also clear from the study that strength of the NLME effect does not depend on the amount Al substitution, but critically depends on the electrical conductivity of the sample with the highest NLME coefficients estimated for the sample with the highest conductivity. Results of this work are of importance for a new family of electric field tunable, miniature, high frequency ferrite devices.

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Section: Theorymentioning

confidence: 99%

Nonlinear magnetoelectric effects in Al-substituted strontium hexaferrite

Liu

Popov

Zavislyak

et al. 2021

Sci Rep

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“…The smaller features correspond to higher-order magnetostatic modes, that were first modeled by Damon and Eshbach 6 ͑DE͒ for infinite thin films, and later calculated by Storey et al 7 for the case of thin, finite YIG films. These modes correspond to discrete standing wave vectors k z and k x ͑ẑ and x in the plane of the film͒, which determine the spatial variation of the magnetization and have wavelengths, , on the order of the linear dimensions of the sample.…”

Section: A H¸yig Filmmentioning

confidence: 70%

Imaging mechanisms of force detected FMR microscopy

Midzor

Wigen

Pelekhov

et al. 2000

Journal of Applied Physics

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We demonstrate spatial resolution of ferromagnetic resonance in a microscopic sample of YIG using ferromagnetic resonance force microscopy ͑FMRFM͒. Measurements were performed on a small single crystal YIG film grown on a GGG substrate, roughly rectangular in shape 20 mϫϳ150 m and 3 m thick. The perpendicular and parallel force geometries of FMRFM, in conjunction with an external bias field both parallel and perpendicular to the film, were used to scan the sample. This enabled the detection of strong signals, even at atmospheric pressure and room temperature. The fundamental and higher-order magnetostatic modes were observed to have 26-29 Gauss separation. The intensity of these modes exhibited spatial variation as the magnetic tip was scanned over the sample, and this behavior is qualitatively explained by DE theory. An improved fabrication method for magnet on cantilever was employed, which yielded a spatial resolution of 15 m. These results demonstrate the potential of FMRFM for investigating the spatial dependence of ferromagnetic resonance, and for studying the anisotropy fields and exchange coupling effects within multilayer films and small magnetic systems.

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“…Using the approach from [29], we denote resonances with the aid of three indices . Two indices correspond to the discrete components of wave vector in the film plane ( = where is the length of the corresponding parallelepiped edge), and (for BVMSO and FVMSO) the third index denotes the number of root of the corresponding dispersion rela tion at the given plane wave vector.…”

Section: Experimental Methodsmentioning

confidence: 99%

Application of the smith chart in the analysis of the relaxation properties of magnetostatic oscillations and spin waves in ferrite films

Popov

Zavislyak

2012

J. Commun. Technol. Electron.

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The relaxation properties of three main types of magnetostatic oscillations in a magnetostatic film resonator and nonlinear processes (parametric excitation of spin waves in the first and second bands in the presence of the tangential magnetization of the gallium substituted yttrium-iron garnet film and foldover in the regime of normal magnetization) are studied in the frequency range 0.8-4.5 GHz. An original method is proposed for the determination of thresholds of the parametric excitation of spin waves using the deforma tions of Smith chart caused by variations in the measurement power level. The method is used in the high accuracy analysis of the frequency dependences of threshold power in the presence of tangential magnetiza tion in the regimes of resonances of both surface and backward volume magnetostatic waves. The frequencyfield dependences of the absorption spectra of three main types of magnetostatic oscillations in the linear regime are used to determine the saturation magnetization, anisotropy fields, and unloaded Q factors of res onator at each mode and to calculate the relaxation parameters of the corresponding magnetostatic oscilla tions. The experimentally measured threshold pump powers are used to calculate the relaxation line widths of the parametrically excited spin waves with the aid of the improved theory of parametric processes that takes into account both cubic and uniaxial anisotropy of the film.

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The determination of the frequencies of magnetostatic modes in rectangular thin films of ferrimagnetic yttrium iron garnet

Cited by 30 publications

References 8 publications

Nonlinear magnetoelectric effects in Al-substituted strontium hexaferrite

Nonlinear magnetoelectric effects in Al-substituted strontium hexaferrite

Imaging mechanisms of force detected FMR microscopy

Application of the smith chart in the analysis of the relaxation properties of magnetostatic oscillations and spin waves in ferrite films

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