Approximations to the 3-D Free-Space Scalar Green's Function in Terms of the Taylor Product Theorem

In electromagnetics and acoustics, difficulties are encountered in evaluations of integrals containing the free-space scalar Green's Function G(\mathbf{r},{{\bf r^{\prime}}}). So-called far-field approximations have long been used for obtaining approximate solutions. We have developed new appro...

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Bibliographic Details
Published in:IEEE antennas and wireless propagation letters 2023-04, Vol.22 (4), p.864-867
Main Author: Uzer, Ali
Format: Article
Language:English
Subjects:
Antenna arrays
Antenna radiation patterns
Approximation
Approximation methods
calculus
Dipole antennas
Geometry
Green function
Green's function methods
Green's functions
Magnetic fields
Mathematical models
series (mathematics)
Theorems
Citations: Items that this one cites
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Summary:In electromagnetics and acoustics, difficulties are encountered in evaluations of integrals containing the free-space scalar Green's Function G(\mathbf{r},{{\bf r^{\prime}}}). So-called far-field approximations have long been used for obtaining approximate solutions. We have developed new approximations by using the Taylor Product Theorem that are equally simple but far more accurate as demonstrated by numerical examples. Additionally, we have developed error estimates.
ISSN:1536-1225
1548-5757
DOI:10.1109/LAWP.2022.3227112