Title :
Numerical algorithms for inverse and direct diffraction problems of rectangular grating
Author :
Xiaoguang Yang ; Zhiyuan Chu ; Enxi Zheng
Author_Institution :
Sch. of Math., Dalian Maritime Univ., Dalian, China
Abstract :
This paper is concerned with the rectangular diffraction grating problem, firstly we design a fast algorithm for direct problem, which called least-squares finite element method, and use it to calculate the total field u. Secondly, use Sequential Monte Carlo sampling method to calculate the width and the height of the rectangular grating. The results show that the combination of the least squares finite element method and SMC method can better estimate the width and the height of the rectangular grating and improve the computation speed.
Keywords :
Monte Carlo methods; diffraction gratings; finite element analysis; inverse problems; least squares approximations; light diffraction; SMC method; Sequential Monte Carlo sampling method; direct diffraction problems; inverse problems; least-squares finite element method; numerical algorithms; rectangular diffraction grating problem; rectangular grating height; rectangular grating width; total field; Diffraction; Diffraction gratings; Finite element analysis; Gratings; Least squares approximations; Mathematical model; Diffraction grating problem; least-squares finite element method and SMC method;
Conference_Titel :
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-7016-2
DOI :
10.1109/CCDC.2015.7162259
