Dirichlet-to-Neumann Map Method for Diffraction Gratings

Project: Research

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Description

The researchers propose to develop two numerical methods for diffraction grating problems. The first method is for multi-layered structures where each layer is z-invariant as in the popular Fourier modal method. Instead of computing the eigenmodes in each layer, they compute the local Dirichlet-to-Neumann (DtN) map M and use M to solve the diffraction grating problems. The second method attempts to overcome the difficulty of existing integral equation methods for evaluating the quasi-periodic Green's function. The researchers develop an integral equation method to calculate the Dirichlet-to-Neumann map Lambda of a bounded homogeneous domain and use it to solve the diffraction grating problem. Only the standard Green's function is needed in our integral equation formulation.

Detail(s)

Project number9041316
Grant typeGRF
StatusFinished
Effective start/end date1/07/087/09/12