dorsal/arxiv
View SchemaVector circuit theory for spatially dispersive uniaxial magneto-dielectric slabs
| Authors | Pekka Ikonen, Mikhail Lapine, Igor Nefedov, Sergei Tretyakov |
|---|---|
| Categories | |
| ArXiv ID | physics/0605243 |
| URL | https://arxiv.org/abs/physics/0605243 |
| Journal | Progress in Electromagnetics Research, vol. 63, pp. 279-294, 2006. |
Abstract
We present a general dyadic vector circuit formalism, applicable for uniaxial magneto-dielectric slabs, with strong spatial dispersion explicitly taken into account. This formalism extends the vector circuit theory, previously introduced only for isotropic and chiral slabs. Here we assume that the problem geometry imposes strong spatial dispersion only in the plane, parallel to the slab interfaces. The difference arising from taking into account spatial dispersion along the normal to the interface is briefly discussed. We derive general dyadic impedance and admittance matrices, and calculate corresponding transmission and reflection coefficients for arbitrary plane wave incidence. As a practical example, we consider a metamaterial slab built of conducting wires and split-ring resonators, and show that neglecting spatial dispersion and uniaxial nature in this structure leads to dramatic errors in calculation of transmission characteristics.
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"abstract": "We present a general dyadic vector circuit formalism, applicable for uniaxial\nmagneto-dielectric slabs, with strong spatial dispersion explicitly taken into\naccount. This formalism extends the vector circuit theory, previously\nintroduced only for isotropic and chiral slabs. Here we assume that the problem\ngeometry imposes strong spatial dispersion only in the plane, parallel to the\nslab interfaces. The difference arising from taking into account spatial\ndispersion along the normal to the interface is briefly discussed. We derive\ngeneral dyadic impedance and admittance matrices, and calculate corresponding\ntransmission and reflection coefficients for arbitrary plane wave incidence. As\na practical example, we consider a metamaterial slab built of conducting wires\nand split-ring resonators, and show that neglecting spatial dispersion and\nuniaxial nature in this structure leads to dramatic errors in calculation of\ntransmission characteristics.",
"arxiv_id": "physics/0605243",
"authors": [
"Pekka Ikonen",
"Mikhail Lapine",
"Igor Nefedov",
"Sergei Tretyakov"
],
"categories": [
"physics.class-ph"
],
"journal_ref": "Progress in Electromagnetics Research, vol. 63, pp. 279-294, 2006.",
"title": "Vector circuit theory for spatially dispersive uniaxial magneto-dielectric slabs",
"url": "https://arxiv.org/abs/physics/0605243"
},
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