title: Design method for quasi-isotropic transformation materials based on inverse Laplace's equation with sliding boundaries.
abstract: Recently, there are emerging demands for isotropic material parameters, arising from the broadband requirement of the functional devices. Since inverse Laplace's equation with sliding boundary condition will determine a quasi-conformal mapping, and a quasi-conformal mapping will minimize the transformation material anisotropy, so in this work, the inverse Laplace's equation with sliding boundary condition is proposed for quasi-isotropic transformation material design. Examples of quasi-isotropic arbitrary carpet cloak and waveguide with arbitrary cross sections are provided to validate the proposed method. The proposed method is very simple compared with other quasi-conformal methods based on grid generation tools.
authors.affiliation: School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, PR China.
authors.forename: Zheng
authors.initials: Z
authors.lastname: Chang
authors.forename: Xiaoming
authors.initials: X
authors.lastname: Zhou
authors.forename: Jin
authors.initials: J
authors.lastname: Hu
authors.forename: Gengkai
authors.initials: G
authors.lastname: Hu
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008027:Light; D008420:Manufactured Materials; D008962:Models, Theoretical; D012031:Refractometry / Q000379:methods*; D012542:Scattering, Radiation