【摘要】 针对光栅衍射问题提出一种最小二乘算法.在计算区域简单剖分的基础上,选取平面波函数近似解的局部性态,并利用Rayleigh展开的有限项截断近似解在无穷远处的性态.结果表明,该方法适用于一般形状的衍射光栅和大波数情形,应用过程简单,所需剖分单元少,收敛速度快.数值实验验证了算法的有效性.更多还原

【Abstract】 A least-squares method was proposed for grating diffraction.Based on the partition of the computational domain,the local property of the solution is approximated by plane wave functions,and the property of the solution toward infinite is represented by a truncation of the Rayleigh expansion.The method with a fast convergence rate is easy to apply and needs few elements.It is appropriate to normal diffraction gratings and the cases with large wave number.Numerical examples show the effectiveness of the approach.更多还原