1. Hybrid Opto-Electronic Processing Systems for Integer Multiplication
- Author
-
Wang, Youchao
- Subjects
Free-space optics ,Optical information processing ,Spatial light modulator ,Optical multiplication - Abstract
Due to the slowdown of Moore’s law that led to a search for alternative computing technologies, optical information processing is again in the spotlight. The application of optical techniques allows for the possibility of accelerated computation technologies. By incorporating light into the computation, this research investigates methods and strategies for achieving high bit-precision integer multiplication. A novel encoding scheme is presented for integer multiplication in free-space opto-electronic systems. The scheme circumvents hardware constraints imposed by modern material and technology stacks. Without sacrificing numerical accuracy, the method reduces the modulation requirements for each spatial light modulator (SLM) from a standard greyscale level scheme to a system with significantly fewer levels. Bipolar data preservation is performed through a novel threshold-based method. An experimental system employing intensity encoding is developed as a proof-of-concept for the encoding scheme. The system consists of a binary-phase SLM utilising a custom HoloBlade driver stack and a commercial multi-phase SLM. After establishing the system, the noise characteristics of such an optical setup are investigated further. Numerous performance parameters are demonstrated and analysed in a systematic approach. In addition, a number of mitigation strategies and performance enhancement methodologies are proposed and validated for practical implementations. Experimentally, it is demonstrated that a system with inputs greater than 9 bits and multiplication outputs of 18 bits delivers deterministic multiplication results by incorporating a time-multiplexing technique for the first time. This level of accuracy and bit-precision improvement has already made the encoding method itself promising, given that only 5 and 25 resolvable levels are required for the multi-level SLM and the detector, respectively. To practically implement the scheme within the system, novel techniques to minimise error within a performance-limited system are also introduced, such as the demonstration of *in situ* calibration and numerical encoding optimisation based on experimental data. Additional simulation analysis investigates the system’s potential for higher-precision computations using 17-bit unsigned inputs and 34-bit outputs. Integrating low-precision optical processing with high-precision digital electronics relaxes the requirement for high-bit-depth devices by a significant factor. It could prove useful for spatially scalable computations while being less sensitive to the measurement noise and errors of analogue optics. The combination of a novel encoding scheme with an intensity-encoded dual-SLM optical system enables hybrid opto-electronic techniques for element-by-element multiplications that are highly precise and accurate.
- Published
- 2023
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