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Light diffraction from colloidal crystals with low dielectric constant modulation: Simulations using single-scattering theory

Tikhonov, A and Coalson, RD and Asher, SA (2008) Light diffraction from colloidal crystals with low dielectric constant modulation: Simulations using single-scattering theory. Physical Review B - Condensed Matter and Materials Physics, 77 (23). ISSN 1098-0121

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Abstract

We theoretically characterized the diffraction properties of both closed-packed and non-closed-packed crystalline colloidal array (CCA) photonic crystals. A general theory based on single-scattering kinematic approach was developed and used to calculate the diffraction efficiency of CCA of different sphere diameters at different incident light angles. Our theory explicitly relates the scattering properties of individual spheres (calculated by using Mie theory) comprising a CCA to the CCA diffraction efficiency. For a CCA with a lattice constant of 380 nm, we calculated the relative diffraction intensities of the fcc (111), (200), and (220) planes and determined which sphere diameter gives rise to the most efficiently diffracting CCA for each set of crystal planes. The effective penetration depth of the light was calculated for several crystal planes of several CCAs of different sphere diameters at different angles of incidence. The typical penetration depth for a CCA comprised of polystyrene spheres was calculated to be in the range of 10-40 CCA layers. A one-dimensional (1D) model of diffraction from the stack of (111) fcc crystal layers was developed and used to assess the role of multiple scattering and to test our single-scattering approach. The role of disorder was studied by using this 1D scattering model. Our methodology will be useful for the optimization of photonic crystal coating materials. © 2008 The American Physical Society.


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Details

Item Type: Article
Status: Published
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Tikhonov, A
Coalson, RD
Asher, SAasher@pitt.eduASHER
Date: 3 June 2008
Date Type: Publication
Journal or Publication Title: Physical Review B - Condensed Matter and Materials Physics
Volume: 77
Number: 23
DOI or Unique Handle: 10.1103/physrevb.77.235404
Schools and Programs: Dietrich School of Arts and Sciences > Chemistry
Refereed: Yes
ISSN: 1098-0121
PubMed Central ID: PMC2908428
PubMed ID: 20657709
Date Deposited: 21 Feb 2013 22:51
Last Modified: 02 Feb 2019 15:56
URI: http://d-scholarship.pitt.edu/id/eprint/17227

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