Bi-oblique propagation analysis of symmetric and asymmetric Y-junctions

Highly efficient finite‐difference schemes for structures of nonrectangular cross‐section

“…One of them is to use a t-v plane and solve the problem completely in the tapered coordinate system [ Figure 4(a)]. Another attractive possibility is shown in Figure 4(b), where only the bi-oblique coordinate system [9] is used and the computational area is presented in the u-v plane. From these possibilities, a combination of the two nonorthogonal coordinate systems: oblique and tapered, coupled with the rectangular one used in this Letter, as shown in Figure 5.…”

“…It is shown that this eliminates the staircasing errors and allows a substantially coarser transverse mesh to be used for a given accuracy with substantial reduction in the computational time and memory involved. The nonorthogonal coordinate FD-BPM has already been applied to the analysis of structures with oblique [6 -8], bi-oblique [9], tapered [10], and tapered-oblique [11] boundaries in the direction of propagation. The general theory of the structure-related (SR) nonorthogonal coordinate systems was given in [1].…”

The embedding method applied to Y-junctions in electron waveguides

“…Here we use the method to calculate the transport properties of an electron waveguide Y-junction with and without the presence of an external electric field and discuss how it can be used as a switch when an external electric field is applied. The Y-junction is already an extremely important element in integrated optical circuits as optical power dividers or combiners, interferometers, beam splitters and switches [9][10][11][12]. It is therefore inevitable that the Y-junction would be equally important in quantum device integrated circuits.…”

Application of modified finite-difference formulas to the analysis of z-variant rib waveguides

“…In the former technique, an oblique [1], a more advanced bi-oblique [2], and a tapered [3] coordinate have been developed and tested in the finite-difference beam-propagation method (BPM). A tapered-grid approach based on cylindrical coordinates has been used in the BPM based on the method of lines [4].…”