Cloaking laminate design based on GPT-vanishing structures

Abstract We propose a near-cloaking design consisting of a laminate of finitely many layers of isotropic materials. The design is obtained as an approximation of an anisotropic cloak constructed via the pushforward of a multi-coated structure, whose coating cancels the generalized polarization tensors (GPTs) up to a prescribed order. The enhanced cloaking effect achieved by the GPT-vanishing structure permits a coarser microscale and reduces the conductivity contrast among the constituent isotropic materials. Consequently, our design offers significantly improved constructibility for cloaking laminates compared to existing designs based on non-coated structures.

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Journal
Mathematische Annalen
Published
2026-09-21
DOI
https://doi.org/10.1007/s00208-026-03572-9
Primary Topic
Metamaterials and Metasurfaces Applications
Type
article
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Cloaking laminate design based on GPT-vanishing structures

Mikyoung Lim, Eleanor Gemida
Mathematische Annalen
Metamaterials and Metasurfaces Applications
article

Cloaking laminate design based on GPT-vanishing structures

Mikyoung Lim, Eleanor Gemida
article en

Abstract

Abstract We propose a near-cloaking design consisting of a laminate of finitely many layers of isotropic materials. The design is obtained as an approximation of an anisotropic cloak constructed via the pushforward of a multi-coated structure, whose coating cancels the generalized polarization tensors (GPTs) up to a prescribed order. The enhanced cloaking effect achieved by the GPT-vanishing structure permits a coarser microscale and reduces the conductivity contrast among the constituent isotropic materials. Consequently, our design offers significantly improved constructibility for cloaking laminates compared to existing designs based on non-coated structures.

Mathematische AnnalenVol. 396(2)
University of the Philippines Los Baños (PH), Korea Advanced Institute of Science and Technology (KR), Université Paris Cité (FR), Laboratoire Jacques-Louis Lions (FR)
Sustainable cities and communities
Openalex Percentile: Top 96%
Metamaterials and Metasurfaces Applications
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Cloaking laminate design based on GPT-vanishing structures — Mikyoung Lim, Eleanor Gemida · Mathematische Annalen (2026) | TGRS Research Map | TGRS