Fundamental Bounds on the Performance of Monochromatic Passive Cloaks

TL;DR

This paper establishes fundamental theoretical limits on the effectiveness of monochromatic passive cloaks made of linear materials, using mathematical optimization techniques to analyze their performance.

Contribution

It introduces a novel framework for deriving performance bounds of passive cloaks through quadratic programming and basis projection methods.

Findings

Low-loss, high dielectric contrast materials enhance cloaking performance.

Numerical tests reveal key physical trends and trade-offs between different cloaking strategies.

The approach provides fundamental limits applicable to passive cloaking design.

Abstract

Fundamental bounds on the performance of monochromatic scattering-cancellation and field-zeroing cloaks made of prescribed linear passive materials occupying a predefined design region are formulated by projecting field quantities onto a sub-sectional basis and applying quadratically constrained quadratic programming. Formulations are numerically tested revealing key physical trends as well as advantages and disadvantages between the two classes of cloaks. Results show that the use of low-loss materials with high dielectric contrast affords the highest potential for effective cloaking.