TY - JOUR
T1 - Cylindrical FDTD grid-compatible Green's functions
AU - Markish, Ofer
AU - Kastner, Raphael
PY - 2013/5/1
Y1 - 2013/5/1
N2 - Cylindrical grid-compatible discrete Green's functions (DGFs), derived from the first principles of the FDTD-discretized Maxwell's equations, are the topic of this work. These functions enable the hybridization between differential and integral equation based numerical methods. The DGF replicates the FDTD solutions, as opposed to an outright discretization of the continuous Green's function (CGF). The cylindrical formulation is attractive since it is inherently axially symmetric, such that it fits the description of a point source.
AB - Cylindrical grid-compatible discrete Green's functions (DGFs), derived from the first principles of the FDTD-discretized Maxwell's equations, are the topic of this work. These functions enable the hybridization between differential and integral equation based numerical methods. The DGF replicates the FDTD solutions, as opposed to an outright discretization of the continuous Green's function (CGF). The cylindrical formulation is attractive since it is inherently axially symmetric, such that it fits the description of a point source.
KW - Cylindrical coordinates
KW - Finite difference time domain (FDTD)
KW - Maxwell's equations
UR - http://www.scopus.com/inward/record.url?scp=84874455538&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2012.12.011
DO - 10.1016/j.jcp.2012.12.011
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AN - SCOPUS:84874455538
VL - 240
SP - 198
EP - 210
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
ER -