Recent Studies in Perturbation Theory 2017
DOI: 10.5772/68028
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Green Function

Abstract: Both the scalar Green function and the dyadic Green function of an electromagnetic field and the transform from the scalar to dyadic Green function are introduced. The Green function of a transmission line and the propagators are also presented in this chapter.

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“…The FF data were generated by numerically propagating the NF data with the well-known scalar Green's function (such as described in Eqn 10.16 of [ 16 ]) to give the fields at a rectangular grid of 200 by 200 points lying on a two-dimensional planar surface 5 m away along the boresight, of overall lateral dimension 2.5 m by 2.5 m. The two-dimensional NF data are sufficient owing to the directional nature of the antenna, and for our scanner, it is impossible to measure fields on all sides of an enclosing volume in any case. The complex FF data at each point r is calculated by taking a sum of the contribution from all the sources in the near field at positions as follows [ 17 ]: where m is the m th x -position index, n is the n th y -position index and k = 2 · π / λ is the wavenumber. The calculation is repeated separately for each frequency.…”
Section: Measurement System and Methodologymentioning
confidence: 99%
“…The FF data were generated by numerically propagating the NF data with the well-known scalar Green's function (such as described in Eqn 10.16 of [ 16 ]) to give the fields at a rectangular grid of 200 by 200 points lying on a two-dimensional planar surface 5 m away along the boresight, of overall lateral dimension 2.5 m by 2.5 m. The two-dimensional NF data are sufficient owing to the directional nature of the antenna, and for our scanner, it is impossible to measure fields on all sides of an enclosing volume in any case. The complex FF data at each point r is calculated by taking a sum of the contribution from all the sources in the near field at positions as follows [ 17 ]: where m is the m th x -position index, n is the n th y -position index and k = 2 · π / λ is the wavenumber. The calculation is repeated separately for each frequency.…”
Section: Measurement System and Methodologymentioning
confidence: 99%