dorsal/arxiv
View SchemaResonance-Induced Effects in Photonic Crystals
| Authors | Alexander Moroz, Adriaan Tip |
|---|---|
| Categories | |
| ArXiv ID | physics/9903042 |
| URL | https://arxiv.org/abs/physics/9903042 |
| DOI | 10.1088/0953-8984/11/12/005 |
| Journal | J. Phys.: Condens. Matter 11, 2503 - 2512 (1999) |
Abstract
For the case of a simple face-centered-cubic photonic crystal of homogeneous dielectric spheres, we examine to what extent single-sphere Mie resonance frequencies are related to band gaps and whether the width of a gap can be enlarged due to nearby resonances. Contrary to some suggestions, no spectacular effects may be expected. When the dielectric constant of the spheres $\epsilon_s$ is greater than the dielectric constant $\epsilon_b$ of the background medium, then for any filling fraction $f$ there exists a critical $\epsilon_c$ above which the lowest lying Mie resonance frequency falls inside the lowest stop gap in the (111) crystal direction, close to its midgap frequency. If $\epsilon_s <\epsilon_b$, the correspondence between Mie resonances and both the (111) stop gap and a full gap does not follow such a regular pattern. If the Mie resonance frequency is close to a gap edge, one can observe a resonance-induced widening of a relative gap width by $\approx 5%$.
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"abstract": "For the case of a simple face-centered-cubic photonic crystal of homogeneous\ndielectric spheres, we examine to what extent single-sphere Mie resonance\nfrequencies are related to band gaps and whether the width of a gap can be\nenlarged due to nearby resonances. Contrary to some suggestions, no spectacular\neffects may be expected. When the dielectric constant of the spheres\n$\\epsilon_s$ is greater than the dielectric constant $\\epsilon_b$ of the\nbackground medium, then for any filling fraction $f$ there exists a critical\n$\\epsilon_c$ above which the lowest lying Mie resonance frequency falls inside\nthe lowest stop gap in the (111) crystal direction, close to its midgap\nfrequency. If $\\epsilon_s \u003c\\epsilon_b$, the correspondence between Mie\nresonances and both the (111) stop gap and a full gap does not follow such a\nregular pattern. If the Mie resonance frequency is close to a gap edge, one can\nobserve a resonance-induced widening of a relative gap width by $\\approx 5%$.",
"arxiv_id": "physics/9903042",
"authors": [
"Alexander Moroz",
"Adriaan Tip"
],
"categories": [
"physics.class-ph",
"cond-mat",
"physics.optics"
],
"doi": "10.1088/0953-8984/11/12/005",
"journal_ref": "J. Phys.: Condens. Matter 11, 2503 - 2512 (1999)",
"title": "Resonance-Induced Effects in Photonic Crystals",
"url": "https://arxiv.org/abs/physics/9903042"
},
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