# Frequency-Division Multiplexing in Magnonic Logic Networks Based on   Caustic-Like Spin-Wave Beams

**Authors:** Frank Heussner, Matthias Nabinger, Tobias Fischer, Thomas Br\"acher,, Alexander A. Serga, Burkard Hillebrands, Philipp Pirro

arXiv: 1906.04993 · 2019-06-18

## TL;DR

This paper demonstrates a passive magnonic device that uses frequency-dependent spin-wave beam directions to enable frequency-division multiplexing, allowing simultaneous, interference-free data transmission in magnonic logic networks.

## Contribution

It introduces a novel passive magnetic structure that spatially separates and combines spin-wave signals of different frequencies for multiplexing in magnonic networks.

## Key findings

- Spin-wave propagation angles depend on frequency.
- Different frequency signals can be transmitted simultaneously without interference.
- The device enables parallel data processing in magnonic systems.

## Abstract

Wave-based data processing by spin waves and their quanta, magnons, is a promising technique to overcome the challenges which CMOS-based logic networks are facing nowadays. The advantage of these quasi-particles lies in their potential for the realization of energy efficient devices on the micro- to nanometer scale due to their charge-less propagation in magnetic materials. In this paper, the frequency dependence of the propagation direction of caustic-like spin-wave beams in microstructured ferromagnets is studied by micromagnetic simulations. Based on the observed alteration of the propagation angle, an approach to spatially combine and separate spin-wave signals of different frequencies is demonstrated. The presented magnetic structure constitutes a prototype design of a passive circuit enabling frequency-division multiplexing in magnonic logic networks. It is verified that spin-wave signals of different frequencies can be transmitted through the device simultaneously without any interaction or creation of spurious signals. Due to the wave-based approach of computing in magnonic networks, the technique of frequency-division multiplexing can be the basis for parallel data processing in single magnonic devices, enabling the multiplication of the data throughput.

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Source: https://tomesphere.com/paper/1906.04993