dorsal/arxiv
View SchemaConcave and Convex photonic Barriers in Gradient Optics
| Authors | Alexandr B. Shvartsburg, Guillaume Petite |
|---|---|
| Categories | |
| ArXiv ID | physics/0506175 |
| URL | https://arxiv.org/abs/physics/0506175 |
| DOI | 10.1140/epjd/e2005-00202-x |
| Journal | European Physical Journal D 36 (2005) 111 |
Abstract
Propagation and tunneling of light through photonic barriers formed by thin dielectric films with continuous curvilinear distributions of dielectric susceptibility across the film, are considered. Giant heterogeneity-induced dispersion of these films, both convex and concave, and its influence on their reflectivity and transmittivity are visualized by means of exact analytical solutions of Maxwell equations. Depending on the cut-off frequency of the film, governed by the spatial profile of its refractive index, propagation or tunneling of light through such barriers are examined. Subject to the shape of refractive index profile the group velocities of EM waves in these films are shown to be either increased or deccreased as compared with the homogeneous layers; however, these velocities for both propagation and tunneling regimes remain subluminal. The decisive influence of gradient and curvature of photonic barriers on the efficiency of tunneling is examined by means of generalized Fresnel formulae. Saturation of the phase of the wave tunneling through a stack of such films (Hartman effect), is demonstrated. The evanescent modes in lossy barriers and violation of Hartman effect in this case is discussed.
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"abstract": "Propagation and tunneling of light through photonic barriers formed by thin\ndielectric films with continuous curvilinear distributions of dielectric\nsusceptibility across the film, are considered. Giant heterogeneity-induced\ndispersion of these films, both convex and concave, and its influence on their\nreflectivity and transmittivity are visualized by means of exact analytical\nsolutions of Maxwell equations. Depending on the cut-off frequency of the film,\ngoverned by the spatial profile of its refractive index, propagation or\ntunneling of light through such barriers are examined. Subject to the shape of\nrefractive index profile the group velocities of EM waves in these films are\nshown to be either increased or deccreased as compared with the homogeneous\nlayers; however, these velocities for both propagation and tunneling regimes\nremain subluminal. The decisive influence of gradient and curvature of photonic\nbarriers on the efficiency of tunneling is examined by means of generalized\nFresnel formulae. Saturation of the phase of the wave tunneling through a stack\nof such films (Hartman effect), is demonstrated. The evanescent modes in lossy\nbarriers and violation of Hartman effect in this case is discussed.",
"arxiv_id": "physics/0506175",
"authors": [
"Alexandr B. Shvartsburg",
"Guillaume Petite"
],
"categories": [
"physics.optics"
],
"doi": "10.1140/epjd/e2005-00202-x",
"journal_ref": "European Physical Journal D 36 (2005) 111",
"title": "Concave and Convex photonic Barriers in Gradient Optics",
"url": "https://arxiv.org/abs/physics/0506175"
},
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