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PreprintarXiv licencearXiv

Green's functions and weighting fields for dielectric multilayer geometries

Abstract

The electrostatic potential of a point charge in a geometry with an arbitrary number of parallel layers of different permittivity, bounded by two grounded planes, is derived. Different boundary conditions in the transverse direction are discussed. For the case where a grounded plane is segmented into strips and pads, the solution is used to derive the weighting fields for these electrodes.

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BibTeX
@misc{riegler2026greens,
  title = {{Green's functions and weighting fields for dielectric multilayer geometries}},
  author = {Werner Riegler},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09961},
  eprint = {2610.09961},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.09961},
}
RIS
TY  - UNPB
TI  - Green's functions and weighting fields for dielectric multilayer geometries
AU  - Werner Riegler
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2610.09961
UR  - https://arxiv.org/abs/2610.09961
AB  - The electrostatic potential of a point charge in a geometry with an arbitrary number of parallel layers of different permittivity, bounded by two grounded planes, is derived. Different boundary conditions in the transverse direction are discussed. For the case where a grounded plane is segmented into strips and pads, the solution is used to derive the weighting fields for these electrodes.
ER  -