Perfect relay lens at microwave frequencies based on flattening a Maxwell lens

TitlePerfect relay lens at microwave frequencies based on flattening a Maxwell lens
Publication TypeJournal Article
Year of Publication2011
AuthorsJ. Hunt, G. Jang, D.R. Smith
JournalJournal of the Optical Society of America B
Volume28
Issue8
Pagination2025
Date Published2011
Abstract

We consider the design and implementation of a two-dimensional metamaterial relay lens, conceptually formed by flattening a Maxwell fisheye lens—a perfect imaging device—through the use of a coordinate transformation. Because Maxwell’s equations are form-invariant under coordinate transformations, the specifications for the constitutive parameters of the device are obtained immediately in a procedure that has now become known as transformation optics. To obtain a more favorable implementation of the lens, we seek a quasi-conformal transformation optics transformation that minimizes the required anisotropy, such that the resulting lens can be formed using isotropic, dielectric-only media. We demonstrate a flattened Maxwell lens at microwave frequencies using a nonresonant metamaterial and confirm its focusing and broad bandwidth behavior. Such planar, dielectric-only structures can be readily implemented in infrared and optical waveguides.

Short TitleJ. Opt. Soc. Am. B