Numerical Solution of Diffraction Problems by a Least-Squares Finite Element Method [J]. Math Methods Appl Sci, 2000, 23(12) : 1073-1092.BAO G,CAO Y,YANG H.Numerical solution of diffraction problem by a least-square finite element method. Mathematical Methods in the Applied Sciences . 200...
The metallic diffraction grating problem has been solved for P-polarization using a conformal mapping and the surface impedance boundary condition. The method is used to calculate the electromagnetic fields diffracted by a grating having a cycloidal groove shape. The numerical results are compared with...
Compared with the standard Fourier modal method, the high-order FDMM is more efficient since the matrices in the discretized eigenvalue problems are sparse. Numerical examples are used to illustrate the performance of the method.doi:10.1080/09500340.2012.668222Dawei Song &...
Further, when the temperature T changes, the following problems arise. FIG. 2 illustrates a problem confronted by diffraction grating elements. Generally, the refractive index n of the medium 21 and 22 is a function of the temperature T, and because the period Λ of the diffraction grating is...
byanoptimizationmethod.Thenumericalexperimentsconfirmtheeffectivenessofourmethod. Keywords : grating ; reconstruction ; Helmholtzequation ; optimizationmethod 收稿日期: 20130809. 作者简介:尹伟石( 1980 —),男,汉族,博士,讲师,从事数学物理反问题计算方法的研究, Email : yinweishi@foxmail. 通信作者:**( 1981 ...
N = the total number of grooves on the grating The numerical resolving power “R” should not be confused with the resolution or bandpass of an instrument system. Theoretically, a 1200 g/mm grating with a width of 110 mm that is used in first order has a numerical resolving power R = ...
Numerical analysis of microretroreflectors: transition from reflection to diffraction When a retroreflector has periodic structure, it also behaves as a diffraction grating. When its period becomes shorter, the effect of diffraction is more ... Hiroyuki,Ichikawa - 《Journal of Optics A Pure & Appl...
Thus, the structural parameter rn2 of the HOD FZP has a period of (2 M + 1)λf, so that it can be taken as a binary phase grating with a periodicity of (2 M + 1)λf with respect to the variable r22,59,60. Mathematically, the transmission function of the binary ...
A new eigenvalue problem in the grating region is derived, and used to study metallic gratings. Comparison of the convergence speed of the numerical results given by the conventional methods and the new one shows a spectacular improvement. The fast Fourier factorization method can be also applied...
It has been found that the conventional methods of testing an optical surface using a diffraction grating have an insufficient accuracy in some applications. SUMMARY OF THE INVENTION The present invention has been accomplished taking the above problems into consideration. ...