Title :
An assessment of finite difference beam propagation method
Author :
Chung, Youngchul ; Dagli, Nadir
Author_Institution :
Dept. of Electr. & Comput. Eng., California Univ., Santa Barbara, CA, USA
fDate :
8/1/1990 12:00:00 AM
Abstract :
A finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with a conventional beam propagation method (FFT-BPM) which uses fast Fourier transformation. In the comparative study three straight waveguides with different index profiles that are frequently encountered in integrated optics are utilized. Using both methods normalized effective index values of the eigenmodes of these waveguides are calculated and compared with the exact values obtained from analytical expressions. As a further accuracy criterion, the power loss due to numerical errors when an eigenmode of a waveguide is excited is evaluated. Based on this comparison the accuracy, computational efficiency, and stability of the FD-BPM are assessed
Keywords :
difference equations; integrated optics; optical losses; optical waveguide theory; accuracy criterion; computational efficiency; eigenmodes; finite difference beam propagation method; index profiles; integrated optics; normalized effective index values; numerical errors; power loss; stability; straight waveguides; Computational efficiency; Difference equations; Finite difference methods; Finite element methods; Integrated optics; Nonlinear optics; Optical losses; Optical propagation; Optical waveguides; Partial differential equations;
Journal_Title :
Quantum Electronics, IEEE Journal of