# A fully-coupled subwavelength resonance approach to modelling the passive cochlea

## TL;DR

This paper models the cochlea using a fully-coupled subwavelength resonance approach, employing layer potential techniques and numerical methods to analyze acoustic scattering, resonant modes, and signal decomposition, providing mathematical insights into cochlear behavior.

## Contribution

It introduces a novel mathematical model of the cochlea based on coupled subwavelength resonators, explaining key biological phenomena.

## Key findings

- Mathematical explanation for the cochlea's 'travelling wave' behavior
- Demonstration of the model's ability to decompose incoming signals
- Computation of resonant modes matching biological observations

## Abstract

The aim of this paper is to understand the behaviour of a large number of coupled subwavelength resonators. We use layer potential techniques in combination with numerical computations to study the acoustic pressure field due to scattering by a graded array of subwavelength resonators. Using this method, we study a graded-resonance model for the cochlea. We compute the resonant modes of the system and explore the model's ability to decompose incoming signals. We are able to offer mathematical explanations for the cochlea's so-called "travelling wave" behaviour and tonotopic frequency map.