2007
DOI: 10.1364/oe.15.001240
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Graded index photonic crystals

Abstract: We explore two-dimensional triangular lattice photonic crystals composed of air holes in a dielectric background which are subject to a graded-index distribution along the direction transverse to the propagation. The proper choice of the parameters such as the input beam width, gradient coefficient, and the operating frequency allow the realizations of the focusing (lens) and guiding (waveguide) effects upon which more complex optical devices such as couplers can be designed. Numerical results obtained by the … Show more

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Cited by 131 publications
(64 citation statements)
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“…Although in principle anisotropic materials, such as SiC, can be used in silicon photonics, TO requires in general a gradient anisotropy, which is much more complex to achieve. Note that one could also use photonic crystals [9][10][11][12] or grooves 13,14 to tailor the index and anisotropy, however these discrete structures result in additional field scattering and inter-mode coupling due to the finite wavelength/period ratio (typically around 10:1). Instead, we use a grayscale-lithography technique described below that produces smooth gradients but is limited to mostly isotropic effective indices.…”
Section: Resultsmentioning
confidence: 99%
“…Although in principle anisotropic materials, such as SiC, can be used in silicon photonics, TO requires in general a gradient anisotropy, which is much more complex to achieve. Note that one could also use photonic crystals [9][10][11][12] or grooves 13,14 to tailor the index and anisotropy, however these discrete structures result in additional field scattering and inter-mode coupling due to the finite wavelength/period ratio (typically around 10:1). Instead, we use a grayscale-lithography technique described below that produces smooth gradients but is limited to mostly isotropic effective indices.…”
Section: Resultsmentioning
confidence: 99%
“…In the relatively early studies, [19][20][21][22] the PCs were usually composed of an uniform structure with various geometrical shapes, and the same physical limitations as for conventional optical lenses were therefore observed. Later, analogously to the studies in optics, 23 gradient-index (GRIN) PCs were proposed, especially for waves at low frequency, on the first acoustic band. 24,25 To now the focusing achievements for waves with different polarizations have been investigated.…”
Section: Introductionmentioning
confidence: 93%
“…Gradient variations introduced in the lattice period, filling factor, and dielectric constant of these periodic media (referred as Gradient Index Photonic Crystals (GRIN PC) [6]) can provide efficient light molding applications such as spatial beam compression [7,8], effective control over light propagation [9], optical absorbers [10], directional cloaking [11] etc.…”
Section: Introductionmentioning
confidence: 99%