Ma. Matin et al., NEW TECHNIQUE FOR FINITE-DIFFERENCE ANALYSIS OF OPTICAL WAVE-GUIDE PROBLEMS, International journal of numerical modelling, 7(1), 1994, pp. 25-33
The method of effective penetration depth is used to produce a novel s
calar or polarized finite difference approach for the solution of opti
cal rib waveguide field problems. The new method is quicker than previ
ous finite difference approaches and requires less computer memory. Pr
opagation constant values are presented for a range of semiconductor r
ib waveguides and are found to be indistinguishable from benchmark res
ults produced using earlier methods of analysis. A simple polarization
correction formula recently derived is confirmed by utilizing the goo
d accuracy of these results. This enables discussion of the relationsh
ip between quasi-TE, quasi-TM and scalar modes, and a further substant
ial reduction of the cpu time.