A spatially variant metamaterial design process for transformation electromagnetic devices
A technique for the implementation of devices designed using transformation optics (TO) is presented using metamaterial elements arranged using spatially variant lattices. A description of transformation optics, including the design of arbitrarily shaped devices by solving Laplace’s equation numerically, is discussed. Analysis of a variety of metamaterial unit cells using frequency sweeps of the unit cells with the resulting permittivity and permeability values. Metamaterial unit cells are also analyzed by the scaling of all the features of the metamaterial elements in the unit cell and calculating the permittivity and permeability. Finite-difference time domain (FDTD) and finite-difference frequency domain (FDFD) methods are described including the simulation of anisotropic structures using FDFD. An arbitrary electromagnetic cloak is given as an example device and is designed using the methods presented within to demonstrate the toolchain.
Berry, Eric Alan, "A spatially variant metamaterial design process for transformation electromagnetic devices" (2016). ETD Collection for University of Texas, El Paso. AAI10247953.