FEM and its generalization for the diffraction by polygonal profile gratings

Author

Elschner, J. ; Rathsfeld, A. ; Schmidt, G.

Author_Institution

Weierstrass Inst. for Appl. Anal. & Stochastics, Berlin, Germany

Volume

2

fYear

2002

fDate

10-13 Sept. 2002

Firstpage

398

Abstract

For the numerical computation of the efficiencies for optical gratings, there exists a huge variety of algorithms. Dealing with a boundary value problem for an elliptic partial differential equation, the application of finite element methods (FEM) is natural also. However, the oscillatory nature of the electromagnetic fields requires some modifications. The resulting FEM program can be used as a part of an algorithm to design optimal gratings.

Keywords

boundary-value problems; diffraction gratings; finite element analysis; optical design techniques; optimisation; partial differential equations; BVP; FEM program; boundary value problem; diffraction; elliptic partial differential equation; finite element methods; gradient descent method; grating optimization; numerical computation; optical gratings; optimal grating design; polygonal profile gratings; Algorithm design and analysis; Diffraction gratings; Finite element methods; Frequency; Integral equations; Magnetic fields; Optical diffraction; Optical scattering; Polarization; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on

Conference_Location

Kiev, Ukraine

Print_ISBN

0-7803-7391-X

Type

conf

DOI

10.1109/MMET.2002.1106937

Filename

1106937