Conformal cloak for waves

TL;DR

This paper demonstrates that conformal invisibility cloaks can achieve near-perfect wave cloaking at specific quantized frequencies, even outside the geometrical optics approximation, through numerical and analytical methods.

Contribution

It reveals the existence of quantized frequencies where conformal cloaks perform exceptionally well beyond geometrical optics limits, supported by analytical and numerical evidence.

Findings

Cloaks work nearly perfectly at certain quantized frequencies.

Quantization condition derived from Helmholtz-Schrodinger analogy.

Numerical simulations confirm analytical predictions.

Abstract

Conformal invisibility devices are only supposed to work within the validity range of geometrical optics. Here we show by numerical simulations and analytical arguments that for certain quantized frequencies they are nearly perfect even in a regime that clearly violates geometrical optics. The quantization condition follows from the analogy between the Helmholtz equation and the stationary Schrodinger equation.