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Carpet cloaking and Laplace transformation

2012/02/20 by T. Ochiai, Tomoshiro Ochiai, Ochiai, T. +3
Arts and Humanities · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Fashion and Cultural Textiles #History and Theory of Mathematics #Mathematics and Applications #Optics (physics.optics) #physics.optics

paper · pdf · doi:10.48550/arxiv.1202.4447

4 pages, 6 figures

arxiv created 2012/02/20 · openalex publication_date 2012/02/20 · arxiv updated 2012/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, researchers have proposed several carpet cloaking designs that are able to hide a real object under a bump in a way that it is perceived as a flat ground plane. Here, we present a method to design two-dimensional isotropic carpet cloaking devices using Laplace transformation. We show that each functional form of a Laplace transformation corresponds to a different carpet cloaking design. Therefore, our approach allows us to systematically design a rich variety of cloaking devices. Our analysis includes several examples containing different bump geometries that illustrate the proposed methodology.

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