A systematic study on a generalized compensated bilayer structure is presented based on transformation optics. A compensated bilayer can be constructed through a general transformation plus a coordinate inversion based on a single layer in the electromagnetic (EM) space. Two outer boundaries of the obtained bilayer are mapped from the same surface. Such a bilayer has an optically zero volume (nihility) regardless of the material composition in the original single layer. This fact directly leads to the property of invariant scattering. A bilayer is also able to transfer the EM field from one side to the other with a scaling factor, which is determined by how the two side boundaries are mapped. For a properly chosen background, it is possible to achieve perfect optical imaging. Extensive numerical examples are given to demonstrate these identified properties and applications. Our study provides a more complete understanding of this class of transformation media by considering general geometries and arbitrary material properties.
© 2009 Optical Society of America
Original Manuscript: August 3, 2009
Manuscript Accepted: August 12, 2009
Published: September 15, 2009
Wei Yan, Min Yan, and Min Qiu, "Generalized compensated bilayer structure from the transformation optics perspective," J. Opt. Soc. Am. B 26, B39-B49 (2009)