遗传算法在二维电磁成像病态方程求解中的应用研究
Genetic algorithm in solving ill-posed equations of 2D electromagnetic imaging
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摘要: 病态方程的计算是电磁成像中一个难以避免但又迄今未得到有效解决的难题。遗传算法以其强大的搜索寻优功能为该难题的解决提供了一种新的途径。分析了将遗传算法应用于电磁成像反演计算中的可能性和优势，并通过两个数值计算举例，一个用遗传算法计算病态线性方程组，一个用遗传算法计算TM入射波下的二维微波成像，证明遗传算法用于电磁成像中计算病态方程是可行和有效的。Abstract: In electromagnetic imaging, ill-posed equations are unavoidable, which are very difficult to solve. The Genetic Algorithm (GA) is a numerical-optimization method. This paper analyzes the GA method and advantages in solving illposed equations of electromagnetic imaging. Two numeric simulations are presented. One is using GA to solve an ill-posed linear equation, and the other is using GA in 2D microwave imaging. Results of numeric simulations show that GA is effective in solving ill-posed equations and it is able to obtain good image reconstruction.
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Key words:
- electromagnetic imaging /
- ill-posed equation /
- genetic algorithm
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