TWO-DIMENSIONAL COMPACT FD-LIKE STENCILS WITH HIGH-ORDER ACCURACY FOR HELMHOLTZ EQUATION WITH A PLANAR DIELECTRIC INTERFACE | Zendy

HungWen Chang | Zendy; Sin-Yuan Mu | Zendy

Open Access

TWO-DIMENSIONAL COMPACT FD-LIKE STENCILS WITH HIGH-ORDER ACCURACY FOR HELMHOLTZ EQUATION WITH A PLANAR DIELECTRIC INTERFACE

Author(s) -

HungWen Chang,

Sin-Yuan Mu

Publication year - 2015

Publication title -

progress in electromagnetics research b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 47

ISSN - 1937-6472

DOI - 10.2528/pierb15081801

Subject(s) - planar , interface (matter) , helmholtz equation , dielectric , helmholtz free energy , order (exchange) , computer science , materials science , computational physics , physics , mathematical analysis , mathematics , mechanics , optoelectronics , quantum mechanics , computer graphics (images) , boundary value problem , bubble , finance , maximum bubble pressure method , economics

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.

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