The Study of an Improved Crossover Mechanism in the Genetic Algorithm for Design of Diffractive Optical Elements
Date Issued
2008
Date
2008
Author(s)
Lin, Chia-Hung
Abstract
In this thesis, a method is proposed to design the diffractive optical elements (DOEs), in which the genetic algorithm (GA) is used with a novel crossover operator. The mutation mechanism is excluded from the method. The novel crossover operator is derived by taking advantage of the existence of the well-defined target in the DOE design and it is therefore entitled the TArget-oriented CrossOver (TACO) operator. By utilizing the target property in the DOE design, the TACO operator stimulates the evolution of solution toward the global maximum in the solution space.he properties of the TACO operator are studied. The robustness against different intial populations is verified. The fast convergence of efficiency and root-mean-square error (RMSERR) is observed. On the other hand, the growth of signal-to-noise ratio (SNR) is relatively slow. The trade-off between the efficiency and the SNR of the final population is also observed.he proposed method is applied to the design of the binary, multi-level, and continuous phase DOEs. The performance is compared with that of other optimization algorithms, such as the iterative Fourier transform algorithm (IFTA) and the simple genetic algorithm (SGA). Compared with the SGA using different mutation rates, the proposed method yields comparable results within a total of 5,000 generations, only 1/20 of that used in the SGA. Also, the efficiency and the RMSERR of the result yielded by the proposed algorithm are comparable to the IFTA, while the SNR is twice as high as that of the IFTA.
Subjects
Genetic Algorithm
Crossover Mechanism
Diffractive Optical Elements
DOE
Type
thesis
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