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PreprintCC BY 4.0arXiv

Closed-form dyadic Green functions for transversely uniaxial bianisotropic medium with equal magnetoelectric scalars

  • Akhlesh Lakhtakia
  • Tom G. Mackay
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Abstract

A transversely uniaxial bianisotropic medium with equal magnetoelectric scalars was conceived by Weiglhofer in 1994. Using the scalar factorization method, he concluded that the dyadic Green functions of this medium could not be found in closed form. That conclusion is incorrect. The essentials of the derivation are reproduced here, and closed-form expressions are given for all four dyadic Green functions of the unbounded medium, linking the electric and magnetic fields to electric and magnetic source current densities.

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Cite

BibTeXRIS
BibTeX
@misc{lakhtakia2026closedform,
  title = {{Closed-form dyadic Green functions for transversely uniaxial bianisotropic medium with equal magnetoelectric scalars}},
  author = {Akhlesh Lakhtakia and Tom G. Mackay},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.06172},
  eprint = {2611.06172},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.06172},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Closed-form dyadic Green functions for transversely uniaxial bianisotropic medium with equal magnetoelectric scalars
AU  - Akhlesh Lakhtakia
AU  - Tom G. Mackay
PY  - 2026
DA  - 2026/11/04
PB  - arXiv
DO  - 10.48550/arxiv.2611.06172
UR  - https://arxiv.org/abs/2611.06172
AB  - A transversely uniaxial bianisotropic medium with equal magnetoelectric scalars was conceived by Weiglhofer in 1994. Using the scalar factorization method, he concluded that the dyadic Green functions of this medium could not be found in closed form. That conclusion is incorrect. The essentials of the derivation are reproduced here, and closed-form expressions are given for all four dyadic Green functions of the unbounded medium, linking the electric and magnetic fields to electric and magnetic source current densities.
ER  -