The Imaging Properties of A Transformation Optics Designed Cooke Triplet

Abstract

This thesis proposes to design a Triplet lens using Metamaterials (MTM) and Discrete Trans- formation Optics (DCT) modelled on the three lens Cooke Triplet. MTMs are arti cially en- gineered materials with values of permittivity and permeability outside the range of naturally occurring materials. Metamaterials suffer from inherent losses and narrowband operation. To overcome these limitations Discrete Coordinate Transformation Optics has been used to design an all-dielectric DCT Triplet. The proposed MTM triplet is matched to free space and it suffers less re ections from the incident waves. The MTM and DCT Triplet can be designed to have a at surface which would allow greater interoperability with other optical systems. The eld of view in the MTM triplet is not limited as it is in the original Cooke Triplet suggesting there is a place for MTM lenses with larger than typical eld of view. In this thesis a Cooke Triplet designed using Metamaterials and the Discrete Coordinate Transformation method is analysed as a potential replacement for the original Cooke Triplet lens. A coordinate system is modelled using grid generation software and ray propagation in optical designers software is used to model the geometry of the MTM Cooke Triplet. An FDTD simulation models the electromagnetic eld of the Cooke Triplet, MTM Triplet and All-Dielectric lens with a plane wave, an off axis source and a Gaussian pulse. The lenses are analysed in terms of Seidel aberrations in order to determine the suitability for optical imaging of the MTM Triplet. The lenses are subjected to Zernike analysis of their wavefront aberration to yield further information on the optics of the different lenses. The FDTD simulation, focal lengths, wavefront aberration function and Zernike aberration function on a unit disk and Zernike aberration coefficients show good agreement between the original Cooke Triplet, MTM Triplet and DCT Triplet.