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Lateral and vertical spin-wave transport in a multimode magnonic ring coupler

S.A. Odintsov, S.E. Sheshukova, S.A. Nikitov, and A.V. Sadovnikov

Phys. Rev. Applied 22, 014042 – Published 17 July 2024

Abstract

We propose the design of single-layer, double-layer, and triple-layer configurations of magnonic ring couplers, which perform spin-wave mode filtering and provide interlayer signal transmission in three-dimensional architectures of magnonic integrated circuits. We study the characteristics of spin-wave dynamics in coupled magnonic structures with a ring resonator in planar and vertical configurations using Brillouin light scattering and the micromagnetic simulation method based on numerical solution of the Landau–Lifshitz–Gilbert equation. The mechanisms of backward and forward coupling control of spin-wave transport in yttrium iron garnet stripe placed in the proximity of the magnonic microring resonator are elucidated. The possibility of reversing the direction of spin-wave propagation with simultaneous selection of transverse spin-wave modes is demonstrated. It is shown that, in the proposed structure, multistream selection of a spin-wave signal is possible due to spatial frequency and simultaneous mode separation. Lateral and vertical magnonic rings could be used for magnonic logic application with the variation of the phase and amplitude of signals. We also demonstrate that the spin-wave mode order is an additional parameter that can be used to simultaneously control the transmission of the ring coupler with the facility to encode the logical state “0” or “1” with the width mode order. The multistream selection of a spin-wave signal and the spatial frequency and simultaneous mode separation lie behind the application of the proposed magnonic ring coupler as a multiport interconnection element and/or functional logical unit in reconfigurable integral blocks of magnonic networks.

Received 8 August 2023
Revised 29 February 2024
Accepted 17 May 2024

DOI:https://doi.org/10.1103/PhysRevApplied.22.014042

Physics Subject Headings (PhySH)

Magnons Spin optoelectronics Spin waves

3-dimensional systems Devices for digital logic, storage & processing Magnetic insulators Waveguides

Microwave techniques

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

S.A. Odintsov , S.E. Sheshukova, S.A. Nikitov, and A.V. Sadovnikov^*

“Magnetic Metamaterials” Laboratory, Saratov State University, Saratov 410012, Russia

^*Contact author: [email protected]

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Vol. 22, Iss. 1 — July 2024

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Figure 1
Schemes of the two configurations of the structure under study. (a) Planar structure: coupled lateral waveguide structure with a rectangular ring resonator between waveguides with a gap. (b) Vertical structure: coupled lateral waveguide structure with a rectangular ring resonator above. (The sections are named the same in both panels.) (c),(d) Maps of internal magnetic field module for planar structure (c) and for vertical structure (d). (e),(f) Profiles of internal magnetic field module along the blue and black-yellow lines in panels (c) and (d) for planar structure (e) and for vertical structure (f).
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Figure 2
(a),(b) Frequency transmission coefficients of spin waves in the output sections of the structure in the L configuration calculated by numerical simulation (a) and the experimental method (b). (c)–(f) Dynamic magnetization $m_{z}$ and BLS intensity $I_{BLS}$ distribution maps at frequencies $f = 5.19$ GHz (c), $f = 5.25$ GHz (d), $f = 5.28$ GHz (e), and $f = 5.295$ GHz (f). All data were obtained at $H_{0} = 1200$ Oe.
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Figure 3
Frequency transmission coefficients of spin waves in the output sections of the structure at the V configuration (the black dotted curve shows the transmission into the channel $P_{1}$ , the red dashed curve shows the transmission of the wave into the channel $P_{2}$ and the blue curve shows the transmission into the channel $P_{3}$ )calculated by numerical modeling (a) and experimental method (b); Dynamic magnetization distribution maps $m_{z}$ at frequencies (c) $f_{1} = 5.225$ GHz, (d) $f_{2} = 5.25$ GHz and (e) $f_{3} = 5.28$ GHz; Normalized color-coded BLS intensity map recorded at the excitation frequencies $f_{1}$ (f), $f_{2}$ (g) and $f_{3}$ (h). All data were obtained at $H_{0} = 1200$ Oe.
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Figure 4
Dynamic magnetization $m_{z}$ distribution maps at frequencies $f = 5.19$ GHz (a), $f = 5.25$ GHz (b), $f = 5.28$ GHz (c), and $f = 5.295$ GHz (d) with antisymmetric mode at $P_{0}$ input.
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Figure 5
(a) The truth table; (b)–(e) spatial distribution maps of dynamic magnetization $m_{z}$ demonstrating some of the truth-table conditions (marked by red arrows); (f) diagram of logic device equivalent to the system under study; (g),(h) the intensity of spin waves on the output channels $B_{1}$ (blue line) and $B_{2}$ (red line) depending on the frequency of the input signal with the difference between the input signals $ϕ = 0$ (g) and $ϕ = π / 2$ (h); (i) sketch of triple-layer configuration of magnonic ring coupler; and (j),(k) dynamic magnetization distribution maps $m_{z}^{2}$ for multilayer structure configuration.
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Physical Review Applied

Lateral and vertical spin-wave transport in a multimode magnonic ring coupler

S.A. Odintsov, S.E. Sheshukova, S.A. Nikitov, and A.V. Sadovnikov

Phys. Rev. Applied 22, 014042 – Published 17 July 2024

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