2006
DOI: 10.1103/physrevb.73.235119
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Mirage and superbending effect in two-dimensional graded photonic crystals

Abstract: We present a study of graded photonic crystals presenting a mirage effect. This light bending is understood through parametric studies of the isofrequency curves. We derive a model based on the effective index computation and on the Eikonal equation in order to demonstrate that photonic mirages originate from the same physical principles as atmospheric mirages. A graded photonic crystal presenting a superbending effect is proposed for designing a bent waveguide

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Cited by 110 publications
(60 citation statements)
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“…For particular chirp profiles, the wave can be substantially enhanced around the turning plane, whose position inside the crystal depends on the wave frequency. Chirped structures have been also used in optics 21,22 and acoustics [23][24][25] for different purposes such as rainbow trapping, [26][27][28] mirage formation, 29 the opening of wide full band gaps, 23 or also to control the spatial dispersion and focalizing beams in reflection. 22 From a practical point of view, it is desirable to obtain the highest enhancement or wave concentration (highest intensity in a shorter distance).…”
mentioning
confidence: 99%
“…For particular chirp profiles, the wave can be substantially enhanced around the turning plane, whose position inside the crystal depends on the wave frequency. Chirped structures have been also used in optics 21,22 and acoustics [23][24][25] for different purposes such as rainbow trapping, [26][27][28] mirage formation, 29 the opening of wide full band gaps, 23 or also to control the spatial dispersion and focalizing beams in reflection. 22 From a practical point of view, it is desirable to obtain the highest enhancement or wave concentration (highest intensity in a shorter distance).…”
mentioning
confidence: 99%
“…These artificial materials are emerging as promising tools for potential applications in several branches of research and technology. 7 Several applications for focusing, 8,9 trapping, [10][11][12] bending waves, 13 opening of wide full band gaps 14 and controlling the spatial dispersion beams in reflection 15 have been developed. Recently, some of us presented a system with acoustic wave enhancement due to the progressive decrease of the group velocity along the propagation direction.…”
Section: Introductionmentioning
confidence: 99%
“…A novel kind of heterogeneous media called as graded-index (GRIN) PCs has been introduced recently to enhance possibilities for controlling the flow of light [11,12]. GRIN PCs are a valuable choice when designing GRIN-media.…”
Section: Introductionmentioning
confidence: 99%