Algebraic topology and applications to photonic integrated circuits

代数拓扑及其在光子集成电路中的应用

• 批准号: 2448207
• 金额: --
• 依托单位: University of Southampton
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2020
• 资助国家: 英国
• 起止时间: 2020 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2448207
• 关键词: Algebraic; topology; applications; photonic; integrated

Photonic integrated circuits (PICs) offer unique opportunities to advance technology in areas such as computing, sensing and health care diagnostics but are still fully based on application specific chip design concepts. Application-specific photonic integrated circuits (ASPICs) are currently dominant PICs, in which particular circuits/chips are designed to optimally perform particular functionalities. They require a considerable number of design and fabrication iterations leading to long development times. A different approach inspired by electronic Field Programmable Gate Arrays (FPGAs) is the programmable photonic processor, where a common hardware implemented by a two-dimensional photonic waveguide mesh realizes different functionalities through programming. Realisation of such circuits is a crucial step in the wide deployment of PICs. In this project a mathematical model based on homotopy theory of hypergraphs and their persistent homology will be first developed and then implemented for the design of silicon photonics programmable circuits. The mathematical model will address optimisation of programmable PICs to perform many functionalities with minimum electrical and optical power consumptions and loss, and to address isolation of areas on the chip that are not operating correctly (e.g. due to fabrication errors or damages occurred during the operation) such that the PIC still can be performed all/majority of the functions it has been designed for.

光子集成电路（PIC）为计算、传感和医疗保健诊断等领域的技术进步提供了独特的机会，但仍然完全基于特定于应用的芯片设计概念。专用光子集成电路（ASPIC）是目前占主导地位的 PIC，其中特定电路/芯片被设计为以最佳方式执行特定功能。它们需要大量的设计和制造迭代，导致开发时间较长。受电子现场可编程门阵列（FPGA）启发的另一种方法是可编程光子处理器，其中由二维光子波导网格实现的通用硬件通过编程实现不同的功能。这种电路的实现是 PIC 广泛部署的关键一步。在该项目中，将首先开发基于超图同伦理论及其持久同源性的数学模型，然后将其用于硅光子可编程电路的设计。该数学模型将解决可编程 PIC 的优化问题，以最小的电和光功耗和损耗执行许多功能，并解决芯片上未正确运行的区域的隔离问题（例如，由于制造错误或运行期间发生的损坏）这样 PIC 仍然可以执行其设计的所有/大部分功能。