2-D polar curves cloak structures for microwave applications

Abstract This study investigates the design of electromagnetic devices, specifically wave rotators and cloaks, utilizing a polar rose-shaped structure. By applying the principles of transformation optics, the constitutive parameters – permittivity and permeability tensors – are analytically derived for transforming virtual space in cylindrical coordinates to physical space in Cartesian coordinates. Both integer and fractional indices of the rose configurations are considered, each yielding distinct electromagnetic properties. The analytical findings are validated and supported by numerical simulations conducted using COMSOL Multiphysics. The results highlight the tunability and adaptability of the proposed structures in controlling electromagnetic wave propagation, exhibiting rotational dynamics, cloaking, and absorption phenomena. Potential applications of these rose-shaped structures are briefly discussed.