Photonic circuit of arbitrary non-unitary systems

Talib, Hussein; Sewell, Phillip D.; Vukovic, Ana; Phang, Sendy

Abstract

A design framework to implement non-unitary input–output operations to a practical unitary photonic integrated circuit is described. This is achieved by utilising the cosine-sine decomposition to recover the unitarity of the original operation. The recovered unitary operation is decomposed into fundamental unitary building blocks, forming a photonic integrated circuit network based on directional couplers and waveguide phase shifters. The individual building blocks are designed and optimised by three-dimensional full-wave simulations and scaled up using a circuit approach. The paper investigates the scalability and robustness of the design approach. Our study demonstrates that the proposed approach of performing unitary matrix completion can be applied to any arbitrary matrices. This design approach allows for implementation of non-unitary operations to perform various linear functions in neuromorphic photonics for computing, sensing, signal processing and communications.

Citation

Talib, H., Sewell, P. D., Vukovic, A., & Phang, S. (2025). Photonic circuit of arbitrary non-unitary systems. Optical and Quantum Electronics, 57, Article 99. https://doi.org/10.1007/s11082-024-07957-5

• Journal Article Type: Article
• Acceptance Date: Nov 28, 2024
• Online Publication Date: Jan 11, 2025
• Publication Date: Jan 11, 2025
• Deposit Date: Jan 13, 2025
• Publicly Available Date: Jan 14, 2025
• Journal: Optical and Quantum Electronics
• Print ISSN: 0306-8919
• Electronic ISSN: 1572-817X
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 57
• Article Number: 99
• DOI: https://doi.org/10.1007/s11082-024-07957-5
• Public URL: https://nottingham-repository.worktribe.com/output/44225579
• Publisher URL: https://link.springer.com/article/10.1007/s11082-024-07957-5