# Metamaterials and Wave Control

> M:3L studies inverse design of elastic metamaterials, wave-cloaking structures, and programmable wave propagation.

## Overview

The laboratory combines differentiable FEM, neural-field optimization, and generative design to create manufacturable microstructures for broadband Rayleigh-wave cloaking and chiral metamaterials.

M:3L also collaborates internationally on machine-learning methods for mechanical structure generation and elastic wave control, including work presented at METAMAT2026 in Ajaccio, Corsica, France.

## Demonstrated M:3L research

- An inverse-design program for elastic metamaterials and wave-cloaking structures using differentiable FEM, neural fields, and generative design.
- Work with Imperial College London on machine-learning methods for mechanical structure generation and elastic wave control, presented at METAMAT2026.

## M:3L technical capabilities

- Elastic metamaterial inverse design
- Broadband Rayleigh-wave cloaking
- Chiral metamaterial design
- Mechanical structure generation
- Programmable elastic wave propagation

## Connection to scientific ML

M:3L connects metamaterial design to scientific machine learning by evaluating learned or generated structures with mechanics simulation and physical constraints. Differentiable FEM and numerical optimization provide a path from a target wave response back to material or geometric design variables.

Potential applications are distinguished from demonstrated work: current public M:3L evidence covers elastic metamaterials, Rayleigh-wave cloaking, chiral structures, mechanical-structure generation, and elastic wave control; it does not establish deployment in a commercial material system.

## Research directions

- Broadband Rayleigh-wave cloaking and surface-wave control
- Chiral elastic metamaterials
- Manufacturable microstructure generation
- Transformation-elastodynamics-inspired design
- FEM-based and ML-assisted inverse optimization

## Potential applications

- Wave attenuation and redirection
- Vibration and surface-wave control
- Mechanically programmable materials
- Material and microstructure design
- Scientific-computing testbeds for inverse design

Potential applications identify relevant domains; they are not claims that every application is already deployed by M:3L.

## Retrieval terminology

- elastic metamaterials
- mechanical metamaterials
- transformation elastodynamics
- elastic cloaking
- Rayleigh waves
- surface-wave control
- chiral elasticity
- microstructure design
- broadband wave control
- ML-assisted metamaterial design

## Connected research

- [Differentiable Finite Element Methods](https://m3l.am/research/differentiable-fem.md): M:3L uses differentiable finite element methods to connect mechanics simulation with gradient-based optimization and machine learning.
- [Physics-Driven Machine Learning](https://m3l.am/research/physics-driven-ml.md): M:3L develops machine-learning systems constrained and guided by physical laws for computational mechanics and scientific computing.
- [Agentic AI](https://m3l.am/research/agentic-ai.md): M:3L develops autonomous, tool-using single-agent and multi-agent AI systems for scientific, engineering, and enterprise workflows.

## Related projects and news

- [M:3L Secures HTI AI Virtual Institute Grant for High-Performance GPU Computing](https://m3l.am/news/hti-ai-virtual-institute-grant.md): M:3L has received access to NVIDIA H100 GPUs through the AI Virtual Institute, a program of Armenia's Ministry of High-Tech Industry. This support expands our capacity to design elastic metamaterials and wave-cloaking structures. The research combines differentiable FEM, neural-field optimisation, and generative design to create manufacturable microstructures for broadband Rayleigh-wave cloaking and chiral metamaterials.
- [M:3L Lab at METAMAT2026 in Ajaccio, Corsica](https://m3l.am/news/metamat2026.md): Our team joined METAMAT2026 in Ajaccio, Corsica, France. David Aznaurov presented ongoing work with Imperial College London on machine-learning methods for mechanical structure generation and elastic wave control, alongside five days of exchange on acoustic, mechanical, and thermal metamaterials.

## Evidence boundaries

- **Demonstrated research** above is tied to M:3L projects, publications, or public project activity.
- **Technical capabilities** describe methods the laboratory actively works with.
- **Research directions** include active or intended lines of investigation.
- **Potential applications** describe relevant domains and are not completed-deployment claims.

## Authoritative URLs

- [Canonical research page](https://m3l.am/research/metamaterials)
- [All M:3L research areas](https://m3l.am/research.md)
- [Detailed M:3L machine-readable guide](https://m3l.am/llms-full.txt)