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The Linear Bicharacteristic Scheme for Computational ElectromagneticsThe upwind leapfrog or Linear Bicharacteristic Scheme (LBS) has previously been implemented and demonstrated on electromagnetic wave propagation problems. This paper extends the Linear Bicharacteristic Scheme for computational electromagnetics to treat lossy dielectric and magnetic materials and perfect electrical conductors. This is accomplished by proper implementation of the LBS for homogeneous lossy dielectric and magnetic media, and treatment of perfect electrical conductors (PECs) are shown to follow directly in the limit of high conductivity. Heterogeneous media are treated through implementation of surface boundary conditions and no special extrapolations or interpolations at dielectric material boundaries are required. Results are presented for one-dimensional model problems on both uniform and nonuniform grids, and the FDTD algorithm is chosen as a convenient reference algorithm for comparison. The results demonstrate that the explicit LBS is a dissipation-free, second-order accurate algorithm which uses a smaller stencil than the FDTD algorithm, yet it has approximately one-third the phase velocity error. The LBS is also more accurate on nonuniform grids.
Document ID
20000039379
Acquisition Source
Legacy CDMS
Document Type
Preprint (Draft being sent to journal)
Authors
Beggs, John H.
(NASA Goddard Space Flight Center Greenbelt, MD United States)
Chan, Siew-Loong
(LCC International, Inc. McLean, VA United States)
Date Acquired
August 19, 2013
Publication Date
February 29, 2000
Subject Category
Communications And Radar
Funding Number(s)
CONTRACT_GRANT: SCEEE-97-004
CONTRACT_GRANT: NSF EEC-89-07070
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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