Terahertz spectroscopy of three-dimensional photonic band-gap crystals

Özbay, Ekmel; Michel, E.; Tuttle, G.; Biswas, Rana; Ho, Kai‐Ming; Bostak, J.; Bloom, D. M.

doi:10.1364/ol.19.001155

Cited by 104 publications

(42 citation statements)

References 7 publications

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“…[1][2][3][4][5][6] Photonic band structures occur if light travels through a three-dimensional dielectric structure with a refractive index that varies periodically on length scales comparable to the wavelength, and are analogous to electronic band structures in atomic crystals. If the refractive index ratio is larger than 1.9 and the polarizibility ␣ per ''atomic'' volume v ͑times 4) becomes about 0.5, one can even make complete photonic band gaps 1,2 in suitable crystal structures.…”

Section: Introductionmentioning

confidence: 99%

“…3 To our knowledge, the shortest wavelength at which a band gap has been reported to date is ϳ500 m in a crystal made by stacking dielectric rods. 6 Scaling down such structures to dimensions compatible with optical wavelengths (ϳ500 nm͒ and consisting of many unit cells is a great challenge. An interesting alternative is the use of colloidal suspensions, 7 because they can spontaneously organize into large crystals with lattice parameters on the order of optical length scales.…”

Section: Introductionmentioning

confidence: 99%

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Strong effects of photonic band structures on the diffraction of colloidal crystals

et al. 1996

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Strong effects of photonic band structures on the diffraction of colloidal crystalsVos, W.L.; Sprik, R.; van Blaaderen, A.; Imhof, A.; Lagendijk, A.; Wegdam, G.H. Published in:Physical Review. B, Condensed Matter Link to publication Citation for published version (APA):Vos, W. L., Sprik, R., van Blaaderen, A., Imhof, A., Lagendijk, A., & Wegdam, G. H. (1996). Strong effects of photonic band structures on the diffraction of colloidal crystals. Physical Review. B, Condensed Matter, 53, 16231-16235. General rightsIt is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), other than for strictly personal, individual use, unless the work is under an open content license (like Creative Commons). Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. The influence of photonic band structures on optical diffraction has been studied with colloidal crystals with large refractive index ratios up to 1.45 and polarizibilities per volume as large as 0.6. It is found that the apparent Bragg spacings are strongly dependent on the wavelength of light. The dynamical diffraction theory that correctly describes weak photonic effects encountered in x-ray diffraction also breaks down. Two simple models are presented that give a much better description of the diffraction of photonic crystals. ͓S0163-1829͑96͒06523-X͔

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Strong effects of photonic band structures on the diffraction of colloidal crystals

et al. 1996

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“…31,33,34 By using the net phase difference ␦ between the phase of the EM wave propagating through the photonic crystal and the phase of the EM wave propagating in free space, we can determine the wave vector k of the crystal as a function of frequency from…”

Section: Rapid Communicationsmentioning

confidence: 99%

Photonic band-gap effect, localization, and waveguiding in the two-dimensional Penrose lattice

et al. 2001

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We report experimental observation of a full photonic band gap in a two-dimensional Penrose lattice made of dielectric rods. Tightly confined defect modes having high quality factors were observed. Absence of the translational symmetry in Penrose lattice was used to change the defect frequency within the stop band. We also achieved the guiding and bending of electromagnetic waves through a row of missing rods. Propagation of photons along highly localized coupled-cavity modes was experimentally demonstrated and analyzed within the tight-binding approximation. DOI: 10.1103/PhysRevB.63.161104 PACS number͑s͒: 42.70.Qs, 42.60.Da, 61.44.Br, 71.15.Ap Photonic crystals are artificial periodic structures in which the refractive index modulation gives rise to stop bands for electromagnetic waves ͑EM͒ within a certain frequency range in all directions. 1,2 The existence of photonic band gap 3 and localized modes 4 due to the Mie resonances 5 and the Bragg scattering in these structures is of fundamental importance. Recently it was recognized that the photonic gaps can exist in two-dimensional ͑2D͒ quasicrystals. [6][7][8][9] Defect characteristics in the same structures were also investigated theoretically 10 and experimentally. 11 A quasiperiodic system is characterized by a lack of longrange periodic translational order. But the quasiperiodic system has long-range band orientational order, so that it can be considered as an intermediate between periodic and random systems. 12-14 Previously, one-dimensional versions of these structures, the Fibonacci lattices, were investigated. Existence of photonic stop bands 15 and localization of light waves 16 in these one-dimensional photonic quasicrystals were reported. The Penrose tiles 17 are composed of fat and skinny rhombic unit cells and fill the 2D plane nonperiodically as illustrated in Fig. 1. In electronic systems, localization phenomena in the 2D Penrose lattice was widely studied. 18,19 Moreover, spectral gaps and localization were observed in 2D acoustical Penrose crystals. 20,21 Recently, Krauss et al. demonstrated the diffraction pattern from a grating based on Penrose tiles. 22 In this paper, we report on observation of the photonic band-gap effect in a 2D Penrose quasicrystal consisting of dielectric rods. Defect characteristics of various inequivalent sites of the crystal were investigated. It is observed that the EM waves can be guided and bended through the vacancy of removed rods along a line. We also measured transmission spectrum and dispersion relation of an array of coupled defects, and analyzed the experimental results within the classical wave analog of tight-binding approximation in solidstate physics. 23 The 2D Penrose lattice was constructed by placing square shaped alumina rods, having refractive index 3.1 at the microwave frequencies and dimensions 0.32 cmϫ0.32 cm ϫ15.25 cm, at each vertice of the skinny and fat rhombic cells ͑Fig. 1͒. The edge of each rhombus is aϭ1.2 cm. The experimental setup consists of a HP 8510C network analyzer and micr...

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“…9 By using either alumina or silicon as the dielectric material, we have built and tested crystals with photonic band gap frequencies ranging from 15 to 500 GHz. [10][11][12] The frequency range of these photonic crystals are suitable for a number of millimeter and sub-millimeter wave applications, including efficient reflectors, millimeter wave antennas, filters, sources, and waveguides. [13][14][15] Most of these applications are based on two important properties of photonic crystals.…”

Section: ͓S0003-6951͑96͒03532-2͔mentioning

confidence: 99%

Reflection properties and defect formation in photonic crystals

Özbay

Temelkuran

1996

Applied Physics Letters

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Cataloged from PDF version of article.We have investigated the surface reflection properties of a layer‐by‐layer photonic crystal. By using a Fabry–Perot resonant cavity analogy along with the reflection‐phase information of the photonic crystal, we predicted defect frequencies of planar defectstructures. Our predictions were in good agreement with the measureddefect frequencies. Our simple model can also predict and explain double defect formation within the photonic band gap

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Terahertz spectroscopy of three-dimensional photonic band-gap crystals

Cited by 104 publications

References 7 publications

Strong effects of photonic band structures on the diffraction of colloidal crystals

Strong effects of photonic band structures on the diffraction of colloidal crystals

Photonic band-gap effect, localization, and waveguiding in the two-dimensional Penrose lattice

Reflection properties and defect formation in photonic crystals

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