dorsal/arxiv
View SchemaExtremal transmission at the Dirac point of a photonic band structure
| Authors | R. A. Sepkhanov, Ya. B. Bazaliy, C. W. J. Beenakker |
|---|---|
| Categories | |
| ArXiv ID | physics/0703184 |
| URL | https://arxiv.org/abs/physics/0703184 |
| DOI | 10.1103/PhysRevA.75.063813 |
| Journal | Phys. Rev. A 75, 063813 (2007) |
Abstract
We calculate the effect of a Dirac point (a conical singularity in the band structure) on the transmission of monochromatic radiation through a photonic crystal. The transmission as a function of frequency has an extremum at the Dirac point, depending on the transparencies of the interfaces with free space. The extremal transmission $T_{0}=\Gamma_{0} W/L$ is inversely proportional to the longitudinal dimension $L$ of the crystal (for $L$ larger than the lattice constant and smaller than the transverse dimension $W$). The interface transparencies affect the proportionality constant $\Gamma_{0}$, and they determine whether the extremum is a minimum or a maximum, but they do not affect the ``pseudo-diffusive'' 1/L dependence of $T_{0}$.
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"abstract": "We calculate the effect of a Dirac point (a conical singularity in the band\nstructure) on the transmission of monochromatic radiation through a photonic\ncrystal. The transmission as a function of frequency has an extremum at the\nDirac point, depending on the transparencies of the interfaces with free space.\nThe extremal transmission $T_{0}=\\Gamma_{0} W/L$ is inversely proportional to\nthe longitudinal dimension $L$ of the crystal (for $L$ larger than the lattice\nconstant and smaller than the transverse dimension $W$). The interface\ntransparencies affect the proportionality constant $\\Gamma_{0}$, and they\ndetermine whether the extremum is a minimum or a maximum, but they do not\naffect the ``pseudo-diffusive\u0027\u0027 1/L dependence of $T_{0}$.",
"arxiv_id": "physics/0703184",
"authors": [
"R. A. Sepkhanov",
"Ya. B. Bazaliy",
"C. W. J. Beenakker"
],
"categories": [
"physics.optics",
"cond-mat.other"
],
"doi": "10.1103/PhysRevA.75.063813",
"journal_ref": "Phys. Rev. A 75, 063813 (2007)",
"title": "Extremal transmission at the Dirac point of a photonic band structure",
"url": "https://arxiv.org/abs/physics/0703184"
},
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