Inverse-design topology optimization of magnonic devices using level-set method

TL;DR

This paper introduces a memory-efficient level-set topology optimization method for designing magnonic devices, validated by creating a frequency-selective spin-wave demultiplexer with improved design exploration capabilities.

Contribution

It presents a novel level-set based topology optimization framework combined with an adjoint-state approach for efficient inverse design of magnonic devices.

Findings

Successfully optimized magnetic nanoparticle shape.

Designed a 300-nm-wide yttrium iron garnet demultiplexer.

Demonstrated efficient exploration of local minima.

Abstract

The inverse design approach in magnonics exploits the wave nature of magnons and machine learning to develop logical devices with functionalities that exceed the capabilities of analytical methods. While promising for analog, Boolean, and neuromorphic computing, current implementations face memory limitations that hinder the design of complex systems. This study presents a level-set parameterization method for topology optimization, combined with an adjoint-state approach for memory-efficient simulation of magnetization dynamics. The framework is implemented in NeuralMag, a GPU-accelerated micromagnetic solver featuring a nodal finite-difference scheme and automatic differentiation tools. To validate the method, we optimized the shape of a magnetic nanoparticle by applying constraints to the objective function, and designed a 300-nm-wide yttrium iron garnet demultiplexer achieving frequency-selective spin-wave separation. These results highlight the algorithm's efficiency in exploring local minima across various initial configurations, establishing its utility as a versatile tool for the inverse design of magnonic logic devices.