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arXiv · 2603.16047

On the Analytic Origin of Two Species of Cochlear Eigenmodes

Asheesh S. Momi·Isabella R. Graf·Michael C. Abbott·Benjamin B. Machta
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Abstract

After entering the ear, sound waves propagate as surface waves along the cochlea's basilar membrane. In recent work, we showed numerically that the system supports two types of modes: localized resonant modes, which underpin the modern understanding of cochlear mechanics, and a novel class of spatially extended modes. Here, we develop an analytic framework that explains the emergence of this mode structure. We show that extended modes arise from globally continuous standing-wave solutions, whereas localized modes result from internal resonance requiring matching across a singular point. These results clarify the generic structure of cochlear wave equations.

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Asheesh S. Momi, Isabella R. Graf, Michael C. Abbott, Benjamin B. Machta. 2026-03-17. On the Analytic Origin of Two Species of Cochlear Eigenmodes. https://arxiv.org/abs/2603.16047

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