A two dimensional analytical model for the study of ferromagnetic resonance responses of single and multilayer films

Shyam Balaji, Mikhail Kostylev

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    An advanced analytical formulation to model the response of coplanar and stripline based broadband ferromagnetic resonance (FMR) for single and multilayer ferromagnetic films is presented. Several numerical examples are provided implementing the formulation. The model accounts for exchange interactions as well as exchange boundary conditions at the film surfaces and the film interfaces (in the case of multilayer films). The solutions to the Landau-Lifshitz equation and relevant Maxwell's equations are conducted in Fourier space and are transformed back to real space as required to ensure computational efficiency and to avoid length scale incompatibility due to the experiment geometry. This work presents several numerical examples pertaining to the effect of waveguide geometry and microwave eddy current shielding on the shape of coplanar and stripline FMR responses of single-layer ferromagnetic films. Additionally, the effect of microwave eddy current shielding and distance (dielectric spacer thickness) of the film from the transducer on the stripline FMR responses, dynamic magnetization, magnetic field strength, and precession angle for multilayer film samples is discussed.

    Original languageEnglish
    Article number123906
    Number of pages15
    JournalJournal of Applied Physics
    Volume121
    Issue number12
    DOIs
    Publication statusPublished - 30 Mar 2017

    Fingerprint

    ferromagnetic resonance
    ferromagnetic films
    eddy currents
    shielding
    formulations
    microwaves
    incompatibility
    geometry
    dynamic response
    precession
    Maxwell equation
    spacers
    field strength
    transducers
    boundary conditions
    broadband
    waveguides
    magnetization
    magnetic fields
    interactions

    Cite this

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    title = "A two dimensional analytical model for the study of ferromagnetic resonance responses of single and multilayer films",
    abstract = "An advanced analytical formulation to model the response of coplanar and stripline based broadband ferromagnetic resonance (FMR) for single and multilayer ferromagnetic films is presented. Several numerical examples are provided implementing the formulation. The model accounts for exchange interactions as well as exchange boundary conditions at the film surfaces and the film interfaces (in the case of multilayer films). The solutions to the Landau-Lifshitz equation and relevant Maxwell's equations are conducted in Fourier space and are transformed back to real space as required to ensure computational efficiency and to avoid length scale incompatibility due to the experiment geometry. This work presents several numerical examples pertaining to the effect of waveguide geometry and microwave eddy current shielding on the shape of coplanar and stripline FMR responses of single-layer ferromagnetic films. Additionally, the effect of microwave eddy current shielding and distance (dielectric spacer thickness) of the film from the transducer on the stripline FMR responses, dynamic magnetization, magnetic field strength, and precession angle for multilayer film samples is discussed.",
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    A two dimensional analytical model for the study of ferromagnetic resonance responses of single and multilayer films. / Balaji, Shyam; Kostylev, Mikhail.

    In: Journal of Applied Physics, Vol. 121, No. 12, 123906, 30.03.2017.

    Research output: Contribution to journalArticle

    TY - JOUR

    T1 - A two dimensional analytical model for the study of ferromagnetic resonance responses of single and multilayer films

    AU - Balaji, Shyam

    AU - Kostylev, Mikhail

    PY - 2017/3/30

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    N2 - An advanced analytical formulation to model the response of coplanar and stripline based broadband ferromagnetic resonance (FMR) for single and multilayer ferromagnetic films is presented. Several numerical examples are provided implementing the formulation. The model accounts for exchange interactions as well as exchange boundary conditions at the film surfaces and the film interfaces (in the case of multilayer films). The solutions to the Landau-Lifshitz equation and relevant Maxwell's equations are conducted in Fourier space and are transformed back to real space as required to ensure computational efficiency and to avoid length scale incompatibility due to the experiment geometry. This work presents several numerical examples pertaining to the effect of waveguide geometry and microwave eddy current shielding on the shape of coplanar and stripline FMR responses of single-layer ferromagnetic films. Additionally, the effect of microwave eddy current shielding and distance (dielectric spacer thickness) of the film from the transducer on the stripline FMR responses, dynamic magnetization, magnetic field strength, and precession angle for multilayer film samples is discussed.

    AB - An advanced analytical formulation to model the response of coplanar and stripline based broadband ferromagnetic resonance (FMR) for single and multilayer ferromagnetic films is presented. Several numerical examples are provided implementing the formulation. The model accounts for exchange interactions as well as exchange boundary conditions at the film surfaces and the film interfaces (in the case of multilayer films). The solutions to the Landau-Lifshitz equation and relevant Maxwell's equations are conducted in Fourier space and are transformed back to real space as required to ensure computational efficiency and to avoid length scale incompatibility due to the experiment geometry. This work presents several numerical examples pertaining to the effect of waveguide geometry and microwave eddy current shielding on the shape of coplanar and stripline FMR responses of single-layer ferromagnetic films. Additionally, the effect of microwave eddy current shielding and distance (dielectric spacer thickness) of the film from the transducer on the stripline FMR responses, dynamic magnetization, magnetic field strength, and precession angle for multilayer film samples is discussed.

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