Matrix-matrix multiplication has an important and essential role in digital data processing. In optical parallel computation, many proposals using various matrix-matrix multiplication techniques were seen in the last few decades. We propose a new concept for a digital matrix multiplication scheme using fiber optic spatial maps and at the same time implementation with nonlinear optical material.

Implementation of all-optical digital matrix multiplication scheme with nonlinear material

In optical computation matrix multiplication takes an important role for the purpose of digital data processing. Lot of proposals with various techniques on matrix-matrix multiplication have been seen in the last few decades. Here in this communication the authors propose a new concept of digital matrix multiplication scheme with fiber optic spatial maps.

All-optical scheme for digital matrix multiplication

Residue arithmetic is a very promising mathematical approach accepted in optical parallel processing and computing for its inherent parallelism. Here in this paper an integrated optical scheme using residue arithmetic is proposed.Key words: Residue arithmetic, Positional residue, Modulus, Optical computing. 1. INTRODUCTION Towards the goal of super fast technology optical computing system has beenestablished with its significant contributions from few decades last. In such connection residue arithmetic has been exposed as a promising method with its traditional advantages inoptical parallel computation. Several authors have proposed different techniques of residue arithmetic based mathematical functioning for parallel handling of the arithmetic operations'3. Positional residue arithmetic has been used also by its significant role in sucharithmetic operations4. Here in this paper an integrated optical system for few residue based logicoperations (AND, EX-OR, NAND, NOT, OR and NOR) has been proposed. For this

Integrated optical scheme for residue-based logic operations

Residue arithmetic has an inherent property which is exploited in parallel optical processing, i.e. it generates no carry or carry or borrow during arithmetic operations though some remarkable limitations always accompany with this arithmetic. The basic need of this arithmetic is the transfer of a decimal number into its residue form under some useful moduli. Here in this paper we propose a method for converting a decimal number into its residue by using fibre optic maps which reduces a large number of processing steps for Optical Computation.

A Minimisation Technique For The Determination Of Residues Of A Decimal Number By Fibre Optic Maps

This chapter includes a method of implementing frequency encoded all-optical NOT latch unit. Optical logic gates based on the principle of frequency conversion of some non-linear materials play the key role for the implementation of a frequency encoded data processing system. Memory is one of the most important units to implement the logic operations. Using semiconductor optical amplifier based switches and frequency encoding principle make the latch unit to be more faithful and reliable one. Work reported in this chapter was published in: S. Dutta and S. Mukhopadhyay, “An all optical approach of frequency encoded NOT based Latch using semiconductor optical amplifier” J Opt 39 (1), 39–45, 2010.

D. Dutta

Papers

A conversion scheme of decimal number to its residue for optical computation