1998
DOI: 10.1109/8.719968
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An improved near- to far-zone transformation for the finite-difference time-domain method

Abstract: Abstract-We show that it is possible to increase the performance of the coupled-dipole approximation (CDA) for scattering by using concepts from the sampling theory. In standard CDA, the source in each discretized cell is represented by a point dipole and the corresponding scattered field given by Green's tensor. In the present approach, the source has a certain spatial extension, and the corresponding Green's tensor must be redefined. We derive these so-called filtered Green's tensors for one-dimensional (1-D… Show more

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Cited by 47 publications
(25 citation statements)
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References 35 publications
(40 reference statements)
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“…Although DGF can also provide a global absorbing boundary condition (ABC) in the FDTD method, computational efficiency of global ABCs is very low in comparison to PMLs. The developed techniques are consistent with the equivalence theorem in the discrete domain [29,30].…”
Section: Dgf Applications In the Fdtd Methodssupporting
confidence: 54%
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“…Although DGF can also provide a global absorbing boundary condition (ABC) in the FDTD method, computational efficiency of global ABCs is very low in comparison to PMLs. The developed techniques are consistent with the equivalence theorem in the discrete domain [29,30].…”
Section: Dgf Applications In the Fdtd Methodssupporting
confidence: 54%
“…For instance, R x is equal to 64.3545 for the cell (10,20,30) and s x = s y = s z = 1/ √ 3. The exact representation of the fractional shift α = R x − R x requires execution of the resampling process.…”
Section: Application Of Cgf Instead Of Dgf In the Fdtd Methodsmentioning
confidence: 99%
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“…According to (9) and (13), the multi-domain method can be summed up as the following approximation of (2):…”
Section: Full Scheme Of the Multi-domain Methodsmentioning
confidence: 99%
“…(15) (16) where the upward and downward propagating waves are marked by the superscripts and , respectively. Although the interface coordinates and do not exist, they cancel out in the final equations, so their values can be chosen arbitrarily (for example, and ).…”
Section: B Calculation Of the Voltage And Current Responsesmentioning
confidence: 99%