Defect states and commensurability in dual-period <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">Al</mi></mrow><mrow><mi>x</mi></mrow></msub></mrow><mrow><msub><mrow><mi mathvariant="normal">Ga</mi></mrow><mrow><mn>1</mn><mi>−</mi><mi>x</mi></mrow></msub></mrow><mi mathvariant="normal">As</mi></math></span> photonic crystal waveguides

A. D. Bristow; D. M. Whittaker; V. N. Astratov; M. S. Skolnick; A. Tahraoui; T. F. Krauss; M. Hopkinson; M. P. Croucher; G. A. Gehring

doi:10.1103/PhysRevB.68.033303

Defect states and commensurability in dual-period ${Al}_{x} {Ga}_{1 - x} As$ photonic crystal waveguides

A. D. Bristow, D. M. Whittaker, V. N. Astratov, M. S. Skolnick, A. Tahraoui, T. F. Krauss, M. Hopkinson, M. P. Croucher, and G. A. Gehring

Phys. Rev. B 68, 033303 – Published 7 July 2003

Abstract

${Al}_{x} {Ga}_{1 - x} As$ waveguides with one-dimensional dual-period patterning, consisting of a short period lattice of semiconductor stripes with periodically placed defects, are investigated by surface coupling reflectivity. Defect states, characterized by flat dispersions and enhanced optical density in the defect region, are observed within an energy gap arising from the short period modulation of the structure. When the defect width is incommensurate with the short period, strong additional features due to band folding are observed. The experimental spectra and dispersions are found to be in very good agreement with the predictions of scattering-matrix calculations.

Received 6 January 2003

DOI:https://doi.org/10.1103/PhysRevB.68.033303

Authors & Affiliations

A. D. Bristow¹, D. M. Whittaker^1,*, V. N. Astratov^1,2, M. S. Skolnick¹, A. Tahraoui^3,4, T. F. Krauss³, M. Hopkinson⁴, M. P. Croucher¹, and G. A. Gehring¹

¹Department of Physics and Astronomy, University of Sheffield, Sheffield, S3 7RH, United Kingdom
²Department of Physics, University of North Carolina, Charlotte, North Carolina 28223, USA
³School of Physics and Astronomy, University of St. Andrews, St Andrews, KY16 9SS, United Kingdom
⁴Department of Electronic and Electrical Engineering, University of Sheffield, Sheffield, S1 3JD, United Kingdom

^*Author to whom correspondence should be addressed. Electronic address: d.m.whittaker@sheffield.ac.uk

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Vol. 68, Iss. 3 — 15 July 2003

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