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一员，这些材料改变了透射光的方向。入射和出射光线方向之间的数学关系，被称为广义折射定律，可以是非常普遍的。目前可以实现的广义折射定律包括允许对所有空间进行非常通用的成像的定律，这反过来又允许片状材料的结构形成变换光学装置。作为EPSRC授予EP/M010724/1和EP/M010767/1的一部分，我们正在探索由我们的片状材料形成的变换光学装置的潜在应用。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。在我们可以用我们的薄片材料制造实际的转换光学器件之前，有许多困难需要克服，我们正在努力做到这一点。如果这一点成功，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。我们正在探索这项技术的潜在应用。目的和目标博士项目旨在通过多种方式将薄片材料的工作扩展到我们的EPSRC拨款所描述的范围之外。首先，我们打算与托马斯·泰克教授(捷克共和国布尔诺的马萨里克大学)合作，简化转换光学器件的设计。此外，我们将研究实现更一般变换的可能性。第二，与埃克塞特大学的西蒙·霍斯利博士合作，我们打算研究实现目前用具有亚表面的微结构薄片实现的广义折射定律的可能性。这将使我们的微结构片状材料的应用得以实现，而不会出现这些材料的缺点。

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.