Publications

@article{RN149,

title = {Generating Spatially-Variant Metamaterial Lattices Designed from Spatial Transforms},

author = {Eric A Berry and Raymond C Rumpf},

url = {https://www.jpier.org/PIERM/pierm92/10.19103004.pdf},

issn = {1937-8726},

year  = {2020},

date = {2020-06-01},

journal = {Progress In Electromagnetics Research M},

volume = {92},

pages = {103-113},

abstract = {Spatial transform techniques like transformation optics and conformal mapping have arisen 

as the dominant techniques for designing metamaterial devices. However, these techniques only produce 

the electrical permittivity and permeability as a function of position. The manner in which these 

functions are converted into physical metamaterial lattices remains elusive, except in some simple or 

canonical configurations. Metamaterial lattices designed by spatial transforms are composed of elements 

of different sizes, orientations, and designs. The elements must be distributed and oriented in a manner 

that makes the final lattice smooth, continuous, have uniform density, be free of unintentional defects, 

and have minimal distortions to the elements. Any of these would weaken or destroy the electromagnetic 

properties of the lattice. This paper describes a general purpose method to generate such arbitrary 

metamaterial lattices. Inputs to the algorithm are the permittivity and permeability functions as well 

as the baseline metamaterials that can provide the necessary permittivity and permeability values. 

In prior research, we reported a simple finite-difference technique for calculating the permittivity and 

permeability functions for arbitrary shaped devices using transformation optics. The methodology 

presented in this work is illustrated by generating an electromagnetic cloak of arbitrary shape that 

was designed using the previously reported technique. The final metamaterial cloak is simulated using 

the finite-difference time-domain method and performance compared to other cloaks reported in the 

literature. },

keywords = {conformal mapping, transformation optics},

pubstate = {published},

tppubtype = {article}

}