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Spin wave propagation through an antidot lattice and a concept of a tunable magnonic filter
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View: Figures


Image of FIG. 1.
FIG. 1.

Dispersion () for the unpatterned magnetic film used in our simulations. Inset: the same dispersion relation plotted within the narrow frequency region 9.2–9.3 GHz to show the existence of the minimal frequency  ≈ 9.23 GHz at  ≈ 760 nm.

Image of FIG. 2.
FIG. 2.

(a) Simulation geometry for an unpatterned film and (b) oscillation power spectrum of the -component computed along the measurement line (see (a)) at the distance  = 500 nm from the “excitation” line (note the logarithmic scale of the ordinate axis).

Image of FIG. 3.
FIG. 3.

Geometry of the antidot filter with definitions of corresponding geometric parameters.

Image of FIG. 4.
FIG. 4.

Transmitted power spectra () (left column) and transmission ratio () (right column) for various distances between the antidot rows as shown in the legend. The number of the antidot columns for all systems shown here is  = 4, the distance between the columns is  = 200 nm. Spectra are calculated for the oscillations of the in-plane magnetization projection perpendicular to the external field direction (-projection), averaged along the (green) measurement line positioned at the distance 500 nm on the right from the last antidot column shown in Fig. 3 .

Image of FIG. 5.
FIG. 5.

Transmission ratio () for various numbers of antidot columns as shown in the legend, calculated at the distance of 500 nm from the last antidot column. The distance between the antidot columns is equal to the distance between their rows:  =  = 200 nm.

Image of FIG. 6.
FIG. 6.

Oscillation power maps (on the logarithmic scale) for propagating modes in a system of  = 8 antidot columns with  =  = 200 nm. Letters to the left of each map denote the transmission bands indicated in Fig. 8 . A qualitatively different propagating character for the ground mode (upper image) and all other modes can be clearly recognized.

Image of FIG. 7.
FIG. 7.

Geometry for the calculation of spectra in-between the excitation line and the antidot filter (upper scheme) and magnetization oscillation spectra at various distances from the filter (as shown in the legend at the lower graph). Typical interference patterns observed for frequencies within the gap in the transmission spectra of the same filter (compare to Fig. 5 , spectra for  = 8) prove the strong reflection of spin waves from the antidot columns for these frequencies.

Image of FIG. 8.
FIG. 8.

Upper graph: comparison of the transmission spectrum for the filter with 8 antidot columns to the eigenmode spectrum for the infinite antidot lattice with the same antidot diameters and interdot distances. Images below the graph show the spatial power distributions for the antidot lattice eigenmodes. For most cases, frequencies of eigenmodes which are delocalized in the -direction ( -modes) correspond to the peaks in the transmission spectrum, frequencies of other eigenmode types ( and )—to the minima in this spectrum. See text for the detailed discussion.

Image of FIG. 9.
FIG. 9.

Transmitted power spectra () (left column) and transmission ratio () (right column) for various external fields calculated at the same location as in Fig. 5 . Here,  = 4,  =  = 200 nm.

Image of FIG. 10.
FIG. 10.

Transmitted power spectra () for the same systems as in Fig. 7 plotted versus the wave number . A nearly perfect coincidence of spectra for various fields (as shown in the legend) is clearly seen.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Spin wave propagation through an antidot lattice and a concept of a tunable magnonic filter