论文信息 - Real-time processing of the multiple matrix product using an incoherent optical system.

Real-time processing of the multiple matrix product using an incoherent optical system.

A novel optical system for real-time processing of the multiple matrix product is proposed. In this system, all the N × N matrices are kept in the N2 format without any scanning scheme. This system can easily be extended to that for multiplication of more than three matrices by using a holographic unidirectional diffuser. We estimate the operational error and the power efficiency of this system to give guidelines for the design of the matrix masks and the unidirectional diffuser. The preliminary experiments of multiplication of two and three matrices are successfully demonstrated with an average error of 1.9% and 4.7%, respectively.

H Nakano | K Hotate

[1] H K Liu,et al. Optical matrix-matrix multiplication method demonstrated by the use of a multifocus hololens. , 1984, Optics letters.

[2] H. J. Caulfield,et al. Rapid unbiased bipolar incoherent calculator cube. , 1983 .

[3] R P Bocker. Matrix multiplication using incoherent optical techniques. , 1974, Applied optics.

[4] D Casasent. Acoustooptic transducers in iterative optical vector-matrix processors. , 1982, Applied optics.

[5] D Casasent,et al. Iterative color-multiplexed, electro-optical processor. , 1979, Optics letters.

[6] J W Goodman,et al. Fully parallel, high-speed incoherent optical method for performing discrete Fourier transforms. , 1978, Optics letters.

[7] S. H. Lee,et al. Matrix multiplication by optical methods. , 1970, Applied optics.

[8] D Casasent,et al. Microprocessor-based fiber-optic iterative optical processor. , 1982, Applied optics.

[9] R.A. Athale,et al. Optical processing using outer-product concepts , 1984, Proceedings of the IEEE.