Existence of a photonic pseudogap for visible light in synthetic opals

Vlasov, Yu. A.; Astratov, Vasily N.; Karimov, O. Z.; Kaplyanskiǐ, A. A.; Bogomolov, V. N.; Prokofiev, A. V.

doi:10.1103/physrevb.55.r13357

Cited by 221 publications

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“…Being strong enough, such imperfections result in smearing or even destruction of the photonic band gaps, which is detrimental to the properties required for optoelectronic device applications. This statement is supported by many experimental studies of disordered photonic crystals carried out in recent years [6]- [20]. Of course, it is desirable to have a theory describing optical properties of the real, disordered photonic crystals quantitatively, while most of the numerous theoretical works focus on modelling [21]- [47] which does not shed enough light on general regularities.…”

Section: Introductionmentioning

confidence: 83%

“…Then, in order to derive the first correction in α −1 to expression for the light localization length we have to evaluate Eq. (28) using the distribution function (39) with P (x) = P 0 (x) + P 1 (x), where P 0 (x) = 1 + ax 2 + bαx 4 + cα 2 x 6 , (C.5) 6) and explicit form of the coefficients a, b, c is inessential. In fact almost all the terms in Eq.…”

Section: Appendix B Localization Length At γ =mentioning

confidence: 99%

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Analytical theory of light localization in one-dimensional disordered photonic crystals

Greshnov

Kaliteevski

Abram

2013

Solid State Communications

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Publisher's copyright statement: NOTICE: this is the author's version of a work that was accepted for publication in Solid State Communications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be re ected in this document. Changes may have been made to this work since it was submitted for publication. A de nitive version was subsequently published in Solid State Communications, 158, 2013Communications, 158, , 10.1016Communications, 158, /j.ssc.2013.01.009. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractInfluence of the various types of disorder on propagation of light in onedimensional periodic structures is studied analytically using statistical approach based on a Fokker-Planck type equation. It is shown that light localization length behaves non-monotonically as a function of disorder amplitude in all the examined models except for purely geometric disorder. This feature is explained by crossover between weak disorder regime corresponding to gradual destruction of the reflecting properties of a photonic crystal and strong disorder regime, when periodic component of the refractive index can be treated as a perturbation. The region of small disorder is shown to be universal provided that a disorder parameter is properly introduced.

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Section: Introductionmentioning

confidence: 83%

Section: Appendix B Localization Length At γ =mentioning

confidence: 99%

Analytical theory of light localization in one-dimensional disordered photonic crystals

Greshnov

Kaliteevski

Abram

2013

Solid State Communications

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“…The refractive indices correspond to those for ZnTe and SiO 2 , which are the materials whose layers can be deposited by means of colloidal chemistry. 16,17 . The parameters of the QD are chosen to be similar to those for realistic QDs based on a II-VI semiconductor compound: ⌫ 0 ϭ2 …”

Section: Results and Discussonsmentioning

confidence: 99%

“…15 Recent progress in photonic crystal fabrication gives hope that the four-decade-long progression to lower dimensionality in exciton-polariton systems will soon achieve its logical conclusion with the appearance of photonic dots with embedded electronic quantum dots. In particular, technological advances in the fabrication of spherical objects by the techniques of colloidal chemistry, 16,17 and other methods 18 will hopefully provide a means for the practical fabrication of multilayered structures of spherical symmetry in due course.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic theory of the coupling of zero-dimensional exciton and photon states: A quantum dot in a spherical microcavity

et al. 2001

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Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. Exciton-light coupling in spherical microcavities containing quantum dots has been treated by means of classical electrodynamics within the nonlocal dielectric response model. Typical anticrossing behavior of zero-dimensional exciton-polariton modes has been obtained, as well as the weak-coupling-strong-coupling threshold. The influence of the cavity Q factor on the optical response of the structure has been analyzed.

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“…4 In that direction, a great attention has been paid recently to the photonic crystal behavior of colloidal crystals. [5][6][7][8][9][10][11] These are made of submicrometric particles arranged in three-dimensional ͑3D͒ periodic structures in a medium of different dielectric constant, thus presenting Bragg diffraction effects in the optical region. However, in order to develop a technology based thereupon, some of their physical features have to be improved.…”

Section: ͓S0163-1829͑98͒02848-3͔mentioning

confidence: 99%

Bragg diffraction from indium phosphide infilled fcc silica colloidal crystals

et al. 1999

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Here we present results on Bragg diffraction in the optical range from indium phosphide infilled solid face-centered-cubic silica colloidal crystals. Scanning electron microscopy and optical properties indicate that the semiconductor is homogeneously grown within the three-dimensional lattice of voids in the colloidal crystal. The photonic-crystal behavior of the periodic dielectric is enhanced as a result of the high contrast of dielectric constants when InP is introduced. ͓S0163-1829͑98͒02848-3͔Photonic crystals have attracted much attention since they were first proposed a decade ago. 1,2 These materials exhibit a periodic spatial modulation of the dielectric constant, which is responsible for the appearance of diffraction effects in a region of frequencies determined by the distances in which the modulation occurs. 3 Important technological applications have been proposed for such materials when designed to operate in the visible region of the spectrum. 4 In that direction, a great attention has been paid recently to the photonic crystal behavior of colloidal crystals. [5][6][7][8][9][10][11] These are made of submicrometric particles arranged in three-dimensional ͑3D͒ periodic structures in a medium of different dielectric constant, thus presenting Bragg diffraction effects in the optical region. However, in order to develop a technology based thereupon, some of their physical features have to be improved. A main point is that a dielectric constant contrast of 1 / 2 Ϸ16 is needed, 12 rather than 1 / 2 Ϸ2 that has been reached so far. Furthermore, a material with applications in photonics should be easy to handle, which will pose restrictions on its mechanical stability.We have studied the photonic crystal properties of InP infilled mechanically stabilized face-centered-cubic ͑fcc͒ colloidal crystals made of silica spheres ͑opals͒. Using metalorganic chemical-vapor deposition ͑MOCVD͒, we have grown InP ( Ϸ12) within the void lattice of the silica matrix. The homogeneous distribution of the high guest material in the low host achieved by this method gives rise to enhanced photonic crystal properties as has been proved by optical reflectance measurements. Bragg reflections in the visible and near infrared ͑NIR͒ region caused by the crystalline planes in the SiO 2 -InP composites are between 1.5 and 2 times more intense than those presented by the bare silica matrix. Different sphere-size colloidal crystals have been infilled, hence a systematic study of the variation of the optical properties vs the sphere size was possible. It showed that the optical region in which the photonic behavior is observed can be accurately tuned by controlling the sphere size of the matrix.Mechanically stabilized fcc silica colloidal crystals with the sphere diameter ranging from 200 to 550 nm were prepared following a recipe that has been previously described in detail. 9,13 As a result of the preparation process, the spheres are in contact and, therefore, the lattice constant of the samples is determined by the radius of the part...

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Existence of a photonic pseudogap for visible light in synthetic opals

Cited by 221 publications

References 0 publications

Analytical theory of light localization in one-dimensional disordered photonic crystals

Analytical theory of light localization in one-dimensional disordered photonic crystals

Electromagnetic theory of the coupling of zero-dimensional exciton and photon states: A quantum dot in a spherical microcavity

Bragg diffraction from indium phosphide infilled fcc silica colloidal crystals

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