dorsal/arxiv
View SchemaTheory of Transmission of Light by Sub-wavelength Cylindrical Holes in Metallic Films
| Authors | N. Garcia, Ming Bai |
|---|---|
| Categories | |
| ArXiv ID | physics/0608237 |
| URL | https://arxiv.org/abs/physics/0608237 |
| DOI | 10.1364/OE.14.010028 |
Abstract
This paper presents theory and finite-difference time-domain (FDTD) calculations for a single and arrays of sub-wavelength cylindrical holes in metallic films presenting large transmission. These calculations are in excellent agreement with experimental measurements. This effect has to be understood in terms of the properties exhibited by the dielectric constant of metals which cannot be treated as ideal metals for the purpose of transmission and diffraction of light. We discuss the cases of well-differentiated metals silver and tungsten. It is found that the effect of surface plasmons or other surface wave excitations due to a periodical set of holes or other roughness at the surface is marginal. The effect can enhance but also can depress the transmission of the arrays as shown by theory and experiments. The peak structure observed in experiments is a consequence of the interference of the wavefronts transmitted by each hole and is determined by the surface array period independently of the material. Without large transmission through a single hole there is no large transmission through the array. We found that in the case of Ag which at the discussed frequencies is a metal there are cylindrical plasmons at the wall of the hole, as reported by Economu et al 30 years ago, that enhanced the transmission. But it turns out, as will be explained, that for the case of W which behaves as a dielectric, there is also a large transmission when compared with that of an ideal metal waveguide. To deal with this problem one has to use the measured dielectric function of the metals. We discuss thoroughly all these cases and compare with the data.
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"abstract": "This paper presents theory and finite-difference time-domain (FDTD)\ncalculations for a single and arrays of sub-wavelength cylindrical holes in\nmetallic films presenting large transmission. These calculations are in\nexcellent agreement with experimental measurements. This effect has to be\nunderstood in terms of the properties exhibited by the dielectric constant of\nmetals which cannot be treated as ideal metals for the purpose of transmission\nand diffraction of light. We discuss the cases of well-differentiated metals\nsilver and tungsten. It is found that the effect of surface plasmons or other\nsurface wave excitations due to a periodical set of holes or other roughness at\nthe surface is marginal. The effect can enhance but also can depress the\ntransmission of the arrays as shown by theory and experiments. The peak\nstructure observed in experiments is a consequence of the interference of the\nwavefronts transmitted by each hole and is determined by the surface array\nperiod independently of the material. Without large transmission through a\nsingle hole there is no large transmission through the array. We found that in\nthe case of Ag which at the discussed frequencies is a metal there are\ncylindrical plasmons at the wall of the hole, as reported by Economu et al 30\nyears ago, that enhanced the transmission. But it turns out, as will be\nexplained, that for the case of W which behaves as a dielectric, there is also\na large transmission when compared with that of an ideal metal waveguide. To\ndeal with this problem one has to use the measured dielectric function of the\nmetals. We discuss thoroughly all these cases and compare with the data.",
"arxiv_id": "physics/0608237",
"authors": [
"N. Garcia",
"Ming Bai"
],
"categories": [
"physics.optics"
],
"doi": "10.1364/OE.14.010028",
"title": "Theory of Transmission of Light by Sub-wavelength Cylindrical Holes in Metallic Films",
"url": "https://arxiv.org/abs/physics/0608237"
},
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