Yaozu Yin

Parallel optical negabinary arithmetic based on logic operations

On the basis of signed-digit negabinary representation, parallel two-step addition and one-step subtraction can be performed for arbitrary-length negabinary operands. The arithmetic is realized by signed logic operations and optically implemented by spatial encoding and decoding techniques. The proposed algorithm and optical system are simple, reliable, and practicable, and they have the property of parallel processing of two-dimensional data. This leads to an efficient design for the optical arithmetic and logic unit.

Optical implementation of regular rectangular CC-banyan network by using polarizing beam splitters

Abstract The CC-banyan network represents a large class of nonequivalent multistage interconnection networks. The optical implementation of a regular rectangular CC-banyan network, which is based on polarizing beam splitters and 1D liquid crystal spatial light modulators, is proposed and demonstrated, and its corresponding routing control for a path between any (S, D) pair is given. It possesses a low energy loss, a high signal-to-noise ratio and an available large number of optical channels.

Cantor network, control algorithm, two-dimensional compact structure and its optical implementation.

A compact integrating module technique for packaging a optical multistage Cantor network with a polarization multiplex technique is suggested. The modules have a unique configuration, which is the solid-state combination of a polarization rotator, double birefringent slabs, and a 2 × 2 switch array. The design and the fabrication of an eight-channel optical nonblocking Cantor network are demonstrated, and a fast-setup control algorithm is developed. The network systems are easy to assemble and insensitive to environment disturbance.

Photorefractive miniaturized integration of optical three-dimensional systems

A scheme using a CO 2 laser beam to thermally fix selective layers or lumps of photorefractive holograms to integrate and miniaturize an optical three-dimensional system into a single block of LiNbO 3 crystal is suggested. Theoretical and experimental investigations on laser local thermal lixing are given, and a stage of the modified gamma network is demonstrated experimentally.

Optical complex matrix-vector multiplication with negative binary inner products.

Based on the mixed negative binary number system, we propose an inner-product algorithm for digital complex-valued matrix-vector multiplication. The features are no carries, no signs, no indications for decimal points, and simple preprocessing and postprocessing. Correspondingly, an optical architecture of incoherent optical correlation with spatial digital coding of data is suggested. Negative binary complex matrix-vector multiplication can be realized optically in parallel with a high accuracy. The experimental result is also given.

Modified direct twos-complement parallel array multiplication algorithm for complex matrix operation

A direct twos-complement parallel array multiplication algorithm is introduced and modified for digital optical numerical computation. The modified version overcomes the problems encountered in the conventional optical twos-complement algorithm. In the array, all the summands are generated in parallel, and the relevant summands having the same weights are added simultaneously without carries, resulting in the product expressed in a mixed twos-complement system. In a two-stage array, complex multiplication is possible with using four real subarrays. Furthermore, with a three-stage array architecture, complex matrix operation is straightforwardly accomplished. In the experiment, parallel two-stage array complex multiplication with liquid-crystal panels is demonstrated.

Optical matrix-matrix multiplication by the use of fixed holographic multi-gratings in a photorefractive crystal

We demonstrate a scheme of the optical fully parallel matrix-matrix multiplication operation method using a photorefractive crystal plate in which holographic multi-gratings have been recorded and fixed. The recording and fixing of the holographic gratings are described. A proof-of-principle experiment is also presented.

Optical negabinary addition with higher-order substitution rules

Abstract Optical higher-order negabinary addition is investigated for fast operation. A new method for recognizing multiple reference patterns in a channel is presented, and thus the substitution rules are logically minimized, resulting in fewer channels for processing. A content-addressable-memory based incoherent optoelectronic symbolic substitution architecture is proposed. The system is simple and flexible, and the multi-channel operations for all the modules are performed in parallel. An experiment is demonstrated.

Integrated polarization-optical logic processor

Abstract A ready-assemble and parallel polarization-optical logic processor is developed, which is based on the birefraction of uniaxial crystals. The suggested processor is a stacked integration of calcite plates for beam splitting and combination and polarization rotators for polarization direction control. All 16 logic functions of two input patterns can be implemented by customizing a control panel. It is compact in structure, effective in performance and insensitive to environmental influences.

Photorefractive miniaturized integration of optical 3D systems

A scheme using CO2 laser beam to thermally fix selective layers or lumps of photorefractive holograms to integrate and miniaturize an optical 3D system into a single block of LiNbO3 crystal is suggested. Theoretical and experimental investigations on laser local thermal fixing are given, and a stage of the modified gamma network is experimentally demonstrated.