Isotropic photonic gaps in a circular photonic crystal

Horiuchi, Noriaki; Segawa, Y.; Nozokido, Tatsuo; Mizuno, Koji; Miyazaki, Hiroshi

doi:10.1364/ol.29.001084

Cited by 38 publications

(32 citation statements)

References 15 publications

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“…This permits the analysis in terms of propagation characteristics (allowed or forbidden modes, propagation and attenuation constants…), that can be summarized in dispersion diagrams. Additionally, other radial structures such as dielectric photonic crystals have also been investigated, [24,25], with the target of creating isotropic bandgaps and high quality-factor (Q) resonators, [26]. Nevertheless, these radial proposals were not easily described in terms of purely periodic parameters.…”

Section: Introductionmentioning

confidence: 99%

Radial Photonic Crystal Shells and Their Application as Resonant and Radiating Elements

Carbonell

Torrent

Sánchez‐Dehesa

2013

IEEE Trans. Antennas Propagat.

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Abstract-Radial Photonic Crystals (RPCs) are a class of microstructured media that possess very particular electromagnetic features. Their properties are driven by radially dependent permittivity and permeability profiles that are also anisotropic. A two dimensional RPC structure is designed and analyzed in order to assess its principal characteristics. This is done through the study of the dispersion diagram of the periodic multilayered structure and also through the analysis of a finite size device. In the later case, research is performed in view of possible applications of RPCs as resonant devices and also when they are combined with line sources. Finally, a device with reduced complexity is designed and implemented by means of a microstructured resonator array. This device is numerically analyzed and the comparison of two independent models shows very good agreement. Potential use of RPCs as frequency and location sensors is pointed out.

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Section: Introductionmentioning

confidence: 99%

Radial Photonic Crystal Shells and Their Application as Resonant and Radiating Elements

Carbonell

Torrent

Sánchez‐Dehesa

2013

IEEE Trans. Antennas Propagat.

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“…Thus, some of the wave-guided modes (trapped modes lying below the light line) will be shifted to the diffracted modes lying above the light line and escape from the device [2]. Photonic quasi-crystals (PhQs) are similar to PhCs but rely on a quasi-crystal arrangement of scattering objects [5,[9][10][11]. PhQs possess high symmetry orders not achievable in nature and offer many desirable features, such as isotropic PBGs, operation in low refractive index materials, diffraction not arising from the nearest neighbor dielectric rod interactions, and flat dispersion bands.…”

Section: Introductionmentioning

confidence: 99%

Design and Modeling for Enhancement of Light Extraction in Light-Emitting Diodes With Archimedean Lattice Photonic Crystals

Chen¹,

Yeh²,

Chen³

et al. 2009

PIER B

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Abstract-Light extraction efficiency of light-emitting diodes (LEDs) based on various photonic crystal (PhC) structures is investigated in this study. By using the plane wave method and the finite element method, the influence of several factors on the enhancement of light extraction is discussed, including lattice type, the density of states from a photonic band diagram, the ratio of cylinder radius and lattice constant, and the thickness of a PHC pattern. Some rules are given for the practical implementation of an optimized PhC-based LED with higher light extraction efficiency. In the simulation results, the maximum enhancement of the extraction efficiency could be by a factor of approximately 2.8 for the optimized Archimedean tiling pattern in the LED device emitting at the center wavelength of 530 nm. However, with the use of optimized PhC structures, the square and triangular lattices reveal enhancements of ∼ 1.7 and ∼ 1.5, respectively. The extraction efficiency of the Archimedean PhC LED is much greater than that of the regular lattice PhC LED.

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“…Circular 2D-PCs are indeed not periodic structures but they are able to inhibit the propagation of the electromagnetic waves in a similar fashion with respect to triangular-patterned photonic crystals. The photonic band gap on the circular PC is isotropic (Xiao and Qiu 2005;Horiuchi et al 2004): comparing the band gap of the triangular and the circular lattice one can notice a certain shrinkage in a specific direction. The symmetry of the circular photonic crystal is also different from the classical photonic crystal, where a rotational symmetry occurs.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of the SHG efficiency in a doubly resonant 2D-photonic crystal microcavity

et al. 2007

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In this paper we discuss the conditions to obtain the enhancement of second harmonic generation in a two-dimensional circular photonic crystal AlGaAs cavity. The photonic crystal circular cavity offers the possibility of having high-Q resonance modes with respect to those obtained with other types of photonic crystal lattices. The crystallographic cut of the AlGaAs provides a strong nonlinear coupling between a transverse-magnetic (TM) polarized resonant mode at the fundamental wavelength and a transverse-electric (TE) polarized resonant mode at second harmonic wavelength. The double resonance condition leads to a strong improvement of the second harmonic generation process. A preliminary linear analysis has been performed by using the finite-difference time-domain method, which includes the dispersive response of the material, modeled using the well-known one-pole pair Lorentzian function.

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Isotropic photonic gaps in a circular photonic crystal

Cited by 38 publications

References 15 publications

Radial Photonic Crystal Shells and Their Application as Resonant and Radiating Elements

Radial Photonic Crystal Shells and Their Application as Resonant and Radiating Elements

Design and Modeling for Enhancement of Light Extraction in Light-Emitting Diodes With Archimedean Lattice Photonic Crystals

Enhancement of the SHG efficiency in a doubly resonant 2D-photonic crystal microcavity

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