An assessment of finite difference beam propagation method

• Published in: IEEE journal of quantum electronics Vol. 26; no. 8; pp. 1335 - 1339
• Main Authors: Chung, Y., Dagli, N.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.08.1990; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Circuit properties; Computational efficiency; Difference equations; Electric, optical and optoelectronic circuits; Electronics; Exact sciences and technology; Finite difference methods; Finite element methods; Integrated optics; Integrated optics. Optical fibers and wave guides; Nonlinear optics; Optical and optoelectronic circuits; Optical losses; Optical propagation; Optical waveguides; Partial differential equations; Integrated optics; Methodology; Eigenmode; Refraction index; Theoretical study; Optical waveguide; Comparative study
• ISSN: 0018-9197
• DOI: 10.1109/3.59679

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.< >