Optical properties of two-dimensional photonic crystals with graphite structure

Cassagne, D.; Jouanin, C.; Bertho, D.

doi:10.1063/1.118395

Cited by 22 publications

(4 citation statements)

References 14 publications

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“…While several experiments [10,11] have studied twodimensional photonic crystals with a honeycomb or triangular lattice, the emphasis has been on the frequency range where the band structure has a true gap, rather than on frequencies near the Dirac point. Recent experiments on electronic conduction near the Dirac point of graphene have shown that this singularity in the band structure offers a qualitatively new transport regime [12].…”

Section: Discussionmentioning

confidence: 99%

Extremal transmission at the Dirac point of a photonic band structure

2007

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We calculate the effect of a Dirac point ͑a conical singularity in the band structure͒ on the transmission of monochromatic radiation through a photonic crystal. The transmission as a function of frequency has an extremum near the Dirac point, depending on the transparencies of the interfaces with free space. The extremal transmission T 0 = ⌫ 0 W / L is inversely proportional to the longitudinal dimension L of the crystal ͑for L larger than the lattice constant and smaller than the transverse dimension W͒. The interface transparencies affect the proportionality constant ⌫ 0 , and they determine whether the extremum is a minimum or a maximum, but they do not affect the "pseudodiffusive" 1 / L dependence of T 0 .

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Section: Discussionmentioning

confidence: 99%

Extremal transmission at the Dirac point of a photonic band structure

2007

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“…Regarding PhC physics, the Kagomé structure is practically neglected [11], in spite of its large gapto-midgap ratio. On the other hand, the honeycomb or graphite lattice PhC has already been investigated [12][13][14][15] to some extent.…”

Section: Introductionmentioning

confidence: 99%

All-angle left-handed negative refraction in Kagomé and honeycomb lattice photonic crystals

et al. 2006

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Possibilities of all-angle left-handed negative refraction in 2D honeycomb and Kagomé lattices made of dielectric rods in air are discussed for the refractive indices 3.1 and 3.6. In contrast to triangular lattice photonic crystals made of rods in air, both the honeycomb and Kagomé lattices show all-angle left-handed negative refraction in the case of the TM2 band for low normalized frequencies. Certain advantages of the honeycomb and Kagomé structures over the triangular lattice are emphasized. This specially concerns the honeycomb lattice with its circle-like equifrequency contours where the effective indices are close to -1 for a wide range of incident angles and frequencies.

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“…[19][20][21] He also pointed out that the strength of the coupling between the outside waves and the internal field at the interface substantially modifies the transmission. 19 This method has been widely used in studying the PhCs with graphite structure 22 and the vanishing transmission due to symmetry. [23][24][25][26][27][28][29][30][31][32][33] But this method shows the field distribution as sum of all expanded series which is also equal to sum of all propagating waves displayed by the FDTD method.…”

Section: Introductionmentioning

confidence: 99%

Analyzing the propagating waves in the two-dimensional photonic crystal by the decoupled internal-field expansion method

Pei

Huang

2012

AIP Advances

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We propose the decoupled internal-field expansion (IFE) method to discuss refractions in the photonic crystal (PhC). This method decouples the full wave in the PhC and classifies them into two categories including the forward-propagating and backward-propagating waves denoted by the index n. A triangular-PhC case is demonstrated and both positive and negative refractions are discussed by this method. The incident angle of 10° results in the positive refracted wave with the refracted angle about 8°, which approximately corresponds to the forward wave of n=0 order. The negative refracted waves, which exist in the left and right edge regions, propagate almost parallel to the interfaces between the PhC and outside media. Meanwhile, due to the interaction between the negative refracted wave and the nearest few rows of air cylinders, the reflected wave and another weaker negative refracted wave are created. Finally, the weaker negative refracted waves from both edge regions interfere with each other in the middle region. It is found out that the negative refracted waves in edge regions as well as the interfered wave in the middle region can be constructed by two n=-1 forward and backward waves. On the other hand, the positive refracted wave is composed of the n=0 forward wave dressed other n≠0 forward waves, the propagation angle is affected by these dressed waves, especially near the edge region. Finally, another case proves this point of view explicitly

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Optical properties of two-dimensional photonic crystals with graphite structure

Cited by 22 publications

References 14 publications

Extremal transmission at the Dirac point of a photonic band structure

Extremal transmission at the Dirac point of a photonic band structure

All-angle left-handed negative refraction in Kagomé and honeycomb lattice photonic crystals

Analyzing the propagating waves in the two-dimensional photonic crystal by the decoupled internal-field expansion method

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