Invisibility cloak without singularity
Wei Xiang Jiang, Tie Jun Cui, Xin Mi Yang, Qiang Cheng, Ruopeng Liu,, and David R. Smith

TL;DR
This paper introduces an elliptical invisibility cloak designed via coordinate transformation that avoids singular parameters, effectively reducing the cloaked object to a line segment and offering practical advantages over traditional cloaks.
Contribution
It presents a novel elliptical cloak design that eliminates singularities and simplifies parameter ranges, improving feasibility of invisibility devices.
Findings
Cloak crushes object to a line segment instead of a point
Parameters are non-singular and have small variation ranges
Design reduces to a nearly-circular cloak with small elliptical focus
Abstract
An elliptical invisible cloak is proposed using a coordinate transformation in the elliptical-cylindrical coordinate system, which crushes the cloaked object to a line segment instead of a point. The elliptical cloak is reduced to a nearly-circular cloak if the elliptical focus becomes very small. The advantage of the proposed invisibility cloak is that none of the parameters is singular and the changing range of all parameters is relatively small.
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