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- Title
Two-Dimensional Compact FD-Like Stencils with High-Order Accuracy for Helmholtz Equation with a Planar Dielectric Interface.
- Authors
Hung-Wen Chang; Sin-Yuan Mu
- Abstract
We derive and compare several finite-difference frequency-domain (FD-FD) stencils for points on or near a planar dielectric interface. They are based on interface conditions or from modifying Helmholtz equation. We present a highly accurate formulation based on local plane wave expansion (LPWE). LPWE-based compact stencil is an extension of the analytically obtained LFE-9 stencil as used by the method of connected local fields [6]. We report that merely using five points per wavelength spatial sampling, LPWE coefficients achieve better than 0.01% local error near a planar interface. We numerically determine that we have fourth to eighth-order accuracy in the local errors for LPWE stencils.
- Subjects
FREQUENCY-domain analysis; DIELECTRIC properties; HELMHOLTZ equation; FINITE difference method; NUMERICAL analysis
- Publication
Progress in Electromagnetics Research B, 2015, Vol 64, p15
- ISSN
1937-6472
- Publication type
Article
- DOI
10.2528/pierb15081801