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Accurate mode profiles and confinement factors are calculated by Finite Difference mode solver, OptiWave [19, 20], in order to avoid ripples due to Gibbs phenomenon inherent to FMM.
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In this paper, we provide a time efficient framework for designing polymer micro-ring devices based on Coupled Mode Theory (CMT) and a Finite Difference Mode Solver.
They discretized time domain by finite difference method.
The equation (8a) can be represented by finite difference.
The Jacobian is probably best evaluated by finite difference methods.
They solved this example by finite difference and finite element methods.
Equations were discretised by finite differences.
The problem is discretized by Finite Differences.
In practice though, we replace derivatives by finite differences.
6 and 7 in space and time where the Laplacian was approximated by finite differences (five-point-scheme).
Both Fourier Modal Method (FMM) [16 18] and Finite Difference based mode solver, OptiMode by OptiWave [19, 20], are used in this work to determine the optical mode profiles of the waveguides (slab or channels).
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