saul wiggin

This paper presents a method for calculating the
Zernike aberrations in a lens design using transformation optics
in FDTD. Currently there is no literature on calculating image
aberrations in FDTD. In this paper I divulge the methods to
calculate the Zernike aberration using a polynomial fitting for
a wavefront. The results are shown to match very well with the
Zernike aberrations in an equivalent lens in ZEMAX.

Transformation optics offers a new design methodology
for optical systems. A Cooke triplet is reengineered
using transformation optics and compared
with the existing design in terms of Siedel aberrations.
The triplet is simulated using the Finite-
Difference Time Domain Method (FDTD). We find
that the aberrations are approximately the same for
the MM triplet compared with a conventional triplet
and also a triplet designed with transformation optics
but without metamaterials.

A lens has been designed using transformation optics theory,
based on a Cooke triplet lens used to reduce image aberrations. Numerical
simulations of wave propagation in FDTD were used to determine the
performance of the lens. Comparisons are drawn between the original lens
and TO-based equivalents, one using a full metamaterial implementation
and another using an all-dielectric approximation

This is a short introduction to metamaterials. Guiding the reader through the key innovations provided by the technology of invisibility cloaks and sub length imaging devices. Additional aspects of physics which are touched on include table top astronomical devices, optics and materials science.

This work contains the comprehensive work of my PhD. Contained in background to invisibility cloaking and carpet cloaking. My contribution to the design of a transformation optics inspired Cooke Triplet with low aberrations. The quantitative analysis of the Zernike aberrations due to the wavefront aberration. A comparison with conventional commercial design software Zemax.

FDTD Simulations of a Discrete Coordinate Transformation Optics Hemispherical Lens. Transformation optics is a development in the paradigm of metamaterials which allows unparalleled control of electromagnetic waves. This paper sets out the implementation of a hemispherical lens which focuses a plane wave to a point. The design requires metamaterials.

This thesis proposes to design a Triplet lens using Metamaterials (MTM) and Discrete Transformation Optics (DCT) modelled on the three lens Cooke Triplet. MTMs are artificially engineered 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 reflections from the incident waves. The MTM and DCT Triplet can be designed to have a flat surface which would allow greater interoperability with other optical systems. The field 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 field of view. In this thesis a Cooke Triplet designed using Metamaterials and the Discrete Coordinate Tran...

This chapter lead you through using Haskell and the accerlerate package in order to write a parallel program on your high performance muti threaded GPU on your computer and finished with a program which lets you calculate Black-Scholes on your GPU.

In this paper we analyze the mathematical foundations of IOTA, a cryp-tocurrency for the Internet-of-Things (IoT) industry. The main feature of this novel cryptocurrency is the tangle, a directed acyclic graph (DAG) for storing transactions. The tangle naturally succeeds the blockchain as its next evolutionary step, and offers features that are required to establish a machine-to-machine micropayment system. An essential contribution of this paper is a family of Markov Chain Monte Carlo (MCMC) algorithms. These algorithms select attachment sites on the tangle for a transaction that has just arrived.