Implicit Yee-mesh-based finite-difference full-vectorial beam-propagation method

Abstract

Abstract-A novel Yee-mesh-based finite-difference fullvectorial beam-propagation method is proposed with the aid of an implicit scheme. The efficient algorithm is developed by splitting the propagation axis into two steps. The eigenmode analysis of a rib waveguide is performed using the imaginary-distance procedure. The results show that the present method offers reduction in computational time and memory, while maintaining the same accuracy as the conventional explicit Yee-mesh-based imaginary-distance beam-propagation method. It is demonstrated by the analysis of a polarization converter that the present method can be used for not only the eigenmode analysis but also the propagating beam analysis.

Frequency-Dependent Locally One-Dimensional FDTD Implementation With a Combined Dispersion Model for the Analysis of Surface Plasmon Waveguides

“…3 shows the wavelength response of the transmission coefficient using the LOD-FDTD. For comparison, also shown are the results obtained from the explicit FDTD with the continuous-wave excitation for a specific wavelength, and from the eigenmode solver (frequency-domain analysis) using the imaginary-distance implicit beam-propagation method based on Yee's mesh (YM-BPM) [20]. Note that the YM-BPM yields the propagation constant whose imaginary part corresponds to an absorption coefficient or an attenuation constant , which can readily be translated into the transmission coefficient of the waveguide ( where is the waveguide length), and vice versa.…”

Analysis of Polarization Splitters Composed of Multilayer Thin-Film Waveguides Using the Beam-Propagation Method Based on Yee's Mesh

“…For calculating higher order modes, we employ a Gram-Schmidt orthogonalization technique [10], [13], [17]. …”

“…Recently, the implicit YM-BPM [13] has been developed to resolve this problem. We adopt this method to calculate the propagating beam of polarization splitters using MTFWs.…”

“…To date, many methods have been proposed for the eigenmode analysis [7]- [10]. One of them is an imaginary-distance propagation method [8] based on Yee's mesh (YM-BPM) [10]- [13]. The YM-BPM has the advantage that all electric-and magnetic-field components are simultaneously evaluated, and the obtained eigenmode field is directly utilized for the real-axis YM-BPM [13] and the finite-difference time-domain method [14].…”

“…For the propagating beam analysis, the crosstalks are calculated. The analysis is carried out using the real-and imaginary-distance YM-BPMs [10], [13]. Numerical results show that the crosstalks are −33.5 dB for the quasi-TE mode and −20.7 dB for the quasi-TM mode.…”