title: General conformal transformation method based on Schwarz-Christoffel approach.
abstract: A general conformal transformation method (CTM) is proposed to construct the conformal mapping between two irregular geometries. In order to find the material parameters corresponding to the conformal transformation between two irregular geometries, two polygons are utilized to approximate the two irregular geometries, and an intermediate geometry is used to connect the mapping relations between the two polygons. Based on these manipulations, the approximate material parameters for TE and TM waves are finally obtained by calculating the Schwarz-Christoffel (SC) mappings. To demonstrate the validity of the method, a phase modulator and a plane focal surface Luneburg lens are designed and simulated by the finite element method. The results show that the conformal transformation can be expanded to the cases that the transformed objects are with irregular geometries.
authors.affiliation: Physics Department, Sichuan University, Chengdu 610064, China.
authors.forename: Linlong
authors.initials: L
authors.lastname: Tang
authors.forename: Jinchan
authors.initials: J
authors.lastname: Yin
authors.forename: Guishan
authors.initials: G
authors.lastname: Yuan
authors.forename: Jinglei
authors.initials: J
authors.lastname: Du
authors.forename: Hongtao
authors.initials: H
authors.lastname: Gao
authors.forename: Xiaochun
authors.initials: X
authors.lastname: Dong
authors.forename: Yueguang
authors.initials: Y
authors.lastname: Lu
authors.forename: Chunlei
authors.initials: C
authors.lastname: Du
mesh_terms: D000465:Algorithms; D016880:Anisotropy; D003198:Computer Simulation; D060733:Electromagnetic Radiation; D004867:Equipment Design; D007909:Lenses; D008422:Materials Testing; D055095:Optics and Photonics; D015203:Reproducibility of Results; D013499:Surface Properties