[Paper Review] On quasi-static cloaking due to anomalous localized resonance

Hongjie Li, Jingzhi Li+1 more|arXiv (Cornell University)|Feb 24, 2015

Metamaterials and Metasurfaces Applications24 citations

TL;DR

This paper extends two-dimensional cloaking via anomalous localized resonance (CALR) to three dimensions, demonstrating that CALR does not occur in the standard plasmonic configuration used in prior 2D studies. Instead, it presents two novel 3D constructions—allowing for either no core or an arbitrarily shaped and dielectric-filled core—that successfully enable CALR, thereby establishing the feasibility of quasi-static cloaking in 3D under new geometric and material conditions.

ABSTRACT

This work concerns the cloaking due to anomalous localized resonance (CALR) in the quasi-static regime. We extend the related two-dimensional studies in [2,10] to the three-dimensional setting. CALR is shown not to take place for the plasmonic configuration considered in [2,10] in the three-dimensional case. We give two different constructions which ensure the occurrence of CALR. There may be no core or an arbitrary shape core for the cloaking device. If there is a core, then the dielectric distribution inside it could be arbitrary.

Motivation & Objective

• To investigate whether anomalous localized resonance (CALR) can occur in three-dimensional quasi-static settings.
• To determine the limitations of extending 2D plasmonic CALR configurations to 3D.
• To construct new 3D dielectric configurations that enable CALR even when standard plasmonic setups fail.
• To explore the role of core geometry and dielectric properties in enabling CALR in 3D.

Proposed method

• Theoretical analysis of the quasi-static Maxwell equations in three dimensions to model cloaking behavior.
• Construction of two distinct 3D configurations: one without a core and one with an arbitrary-shaped core.
• Use of specific dielectric distributions that induce anomalous localized resonance in the 3D setting.
• Mathematical proof that the constructed configurations support CALR under the quasi-static approximation.
• Analysis of the electric field behavior near the resonant structure to confirm field enhancement and cloaking effects.
• Extension of 2D results from [2,10] to 3D by identifying necessary geometric and material conditions for resonance.

Experimental results

Research questions

• RQ1 Can anomalous localized resonance (CALR) be achieved in three-dimensional quasi-static systems?
• RQ2 Why does the standard 2D plasmonic configuration fail to produce CALR in 3D?
• RQ3 What alternative 3D configurations can support CALR when the conventional plasmonic setup fails?
• RQ4 How does the presence or absence of a core affect the possibility of CALR in 3D?
• RQ5 Can arbitrary dielectric distributions inside a core still allow for CALR in 3D?

Key findings

• CALR does not occur in the standard 3D plasmonic configuration used in prior 2D studies.
• Two new 3D constructions are proposed that successfully enable CALR, even without a core.
• The presence of a core in the 3D device is not required for CALR to occur.
• The dielectric distribution inside a core can be arbitrary and does not prevent CALR.
• The theoretical framework confirms that CALR is achievable in 3D under the proposed configurations, extending prior 2D results.