This Letter presents a theory that allows graded index lenses to be mapped onto arbitrary rotationally symmetric curved surfaces. Examples of the Luneburg and Maxwell fish-eye lens are given, for numerous surfaces, always resulting in isotropic permittivity requirements. The performance of these lenses is initially illustrated with full-wave simulations utilizing a waveguide structure. A transformation of the refractive index profiles is then performed to design surface-wave lenses, where the dielectric layer is not only isotropic but also homogenous, demonstrating the applicability and ease of fabrication.
© 2014 Optical Society of America
Optics at Surfaces
Original Manuscript: March 6, 2014
Revised Manuscript: May 12, 2014
Manuscript Accepted: May 12, 2014
Published: June 9, 2014
R. C. Mitchell-Thomas, O. Quevedo-Teruel, T. M. McManus, S. A. R. Horsley, and Y. Hao, "Lenses on curved surfaces," Opt. Lett. 39, 3551-3554 (2014)