Geometry of imaging

研究背景这位博士生是一个研究薄的、微结构的片状材料的小组的成员，这些材料可以改变透射光线的方向。入射和出射光线方向之间的数学关系，即广义折射定律，可以是非常普遍的。目前可以实现的广义折射定律包括能够对所有空间进行非常通用的成像的定律，作为EPSRC赠款EP/M010724/1和EP/M010767/1的一部分，我们正在探索由我们的片材形成的变换光学器件的潜在应用。一个特别简单的应用是将我们的片材用于视力非常差的患者的低视力辅助设备中。在我们能够用我们的板材制造实际的变换光学器件之前，还有许多困难需要克服，我们正在努力做到这一点。如果这成功了，那么我们实现变换光学的方法是一种非常简单的方法，具有独特的优势。我们正在探索该技术的潜在应用。目的和目标博士项目旨在以多种方式扩展我们EPSRC赠款中描述的薄片材料的工作。首先，与Tomas Tyc教授（捷克共和国布尔诺Masaryk大学）合作，我们打算简化变换光学器件的设计。此外，我们将探讨实现更一般的transformation. Second，在与西蒙博士霍斯利（埃克塞特大学）合作，我们打算调查的可能性，实现目前实现的微结构片与元表面的广义折射定律。这将允许实现我们的微结构化片材的应用，而没有这些材料的缺点。

Context of the researchThe PhD student is part of a group that researches thin, micro-structured, sheet materials that change the direction of transmitted light rays. The mathematical relationship between the incident and outgoing light-ray directions, known as the generalised law of refraction, can be very general.The generalised laws of refraction that can be achieved at the moment include laws that enable very versatile imaging of all space, which in turn allows structures of the sheet materials to form transformation-optics devices.As part of EPSRC grants EP/M010724/1 and EP/M010767/1 we are in the process of exploring potential applications of transformation-optics devices formed from our sheet materials. One particularly simple application is to use our sheet materials in low-vision aids for patients with very poor eyesight. There are a number of difficulties to be overcome before we can build actual transformation-optics devices from our sheet materials, and we are working on doing just that. Should this succeed, then our way of realising transformation optics is a very simple approach with unique advantages. We are in the process of exploring potential applications for the technology.Aims and objectivesThe PhD project aims to extend work on the thin-sheet materials beyond that described in our EPSRC grants in a number of ways.Firstly, in collaboration with Prof. Tomas Tyc (Masaryk University, Brno, Czech Republic), we intend to simplify the design of transformation-optics devices. Furthermore, we will investigate the possibility of realising more general transformations.Secondly, in collaboration with Dr Simon Horsley (Exeter University), we intend to investigate the possibility of realising the generalised laws of refraction that are currently realised with micro-structured sheets with metasurfaces. This would allow the applications of our microstructured sheet materials to be realised without the shortcomings of these materials.