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A novel bidirectional operator marching method based on the Dirichlet-to-Neumann (DtN) mapping for three-dimensional optical waveguide structures is developed and implemented using iterative methods. The backward propagation wave is integrated… Click to show full abstract
A novel bidirectional operator marching method based on the Dirichlet-to-Neumann (DtN) mapping for three-dimensional optical waveguide structures is developed and implemented using iterative methods. The backward propagation wave is integrated into the classical operator marching approach which represents the forward propagating wave. The bidirectional range marching formulas are exact for each range-independent piece and a large range step is possible in both directions. The validity and effectiveness of our proposed method are verified by analyzing uniform waveguides and longitudinal waveguides with varying refractive indices.
Journal Title: Optics express
Year Published: 2021
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