Title :
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
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;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on
Conference_Location :
Kiev, Ukraine
Print_ISBN :
0-7803-7391-X
DOI :
10.1109/MMET.2002.1106937
