Realization of FPGA-based optimum design of two-dimensional grating

A method of Field Programmable Gate Array(FPGA)-based Genetic Algorithm(GA) for directly optimizing two-dimensional(2-D) binary gratings is proposed.The surface of binary grating is described as a quadratic polynomial function and the solution of grating optimization with FPGA-based GA is given.Taking polynomial function coefficient for the object of optimum,the adaptive coding,selection,crossover,mutation and the fitness calculation are selected and the elite preservation strategy is introduced to improve the program's robustness and increase the convergence speed.Verilog HDL language is used to program the algorithm after fully considering the parallel and pipeling characteristics of the algorithm,and then the algorithm is implemented in cycloneⅡ EP2C50 of Altera.The results show that the speed of this binary grating optimum design is more than forty times faster than that of realization by software.The speed of 2-D binary grating optimum design is raised effectively.