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arXiv · 2607.02758

The Swiss Roll Metamaterial Revisited

Zachary Fritts·Anthony Grbic
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Abstract

In this work, we analytically model the Swiss roll metamaterial medium, showing that each unit cell can be thought of as a flux-coupled waveguide terminated in coupled inductors. The equivalent circuit model of the metamaterial accurately predicts its response, including its higher order resonances, even when made of a lossy, finite-thickness conductor. A closed-form solution for the response of this circuit model is then derived by solving a matrix equation of arbitrarily large dimensions. Along the way, we provide a general method for modeling the effective permeability of uniaxial, anisotropic metamaterials formed from axially invariant conducting inclusions.

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Zachary Fritts, Anthony Grbic. 2026-07-02. The Swiss Roll Metamaterial Revisited. https://arxiv.org/abs/2607.02758

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