Title :
A modified rational-function method for transmission and reflection calculation at discontinuities
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
A novel method based on the Pade approximants is proposed to solve efficiently discontinuity problems. The Pade approximants are derived from the squared characteristic matrices to avoid the singularities in commonly used approximants. Numerical results show the proposed method is very accurate and efficient, especially for cases with negligible evanescent waves in the investigated structures.
Keywords :
function approximation; light reflection; light transmission; matrix algebra; rational functions; Pade approximants; discontinuity problems; rational-function method; reflection calculation; squared characteristic matrices; transmission calculation; Boundary conditions; Coatings; Eigenvalues and eigenfunctions; Gratings; Information analysis; Laser excitation; Optical reflection; Transmission line matrix methods; Waveguide discontinuities; Waveguide lasers;
Conference_Titel :
Numerical Simulation of Optoelectronic Devices, 2005. NUSOD '05. Proceedings of the 5th International Conference on
Print_ISBN :
0-7803-9149-7
DOI :
10.1109/NUSOD.2005.1518138
