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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 19 — Jul. 1, 2009
  • pp: 3716–3721

Fourier transform infrared transmission microspectroscopy of photonic crystal structures

Gregory R. Kilby and Thomas K. Gaylord  »View Author Affiliations


Applied Optics, Vol. 48, Issue 19, pp. 3716-3721 (2009)
http://dx.doi.org/10.1364/AO.48.003716


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Abstract

The detailed microscopic characterization of photonic crystal (PC) structures is challenging due to their small sizes. Generally, only the gross macroscopic behavior can be determined. This leaves in question the performance at the basic structure level. The single-incident-angle plane-wave transmittances of one-dimensional photonic crystal (PC) structures are extracted from multiple-incident-angle, focused-beam measurements. In the experimental apparatus, an infrared beam is focused by a reflecting microscope objective to produce an incident beam. This beam can be modeled as multiple, variable-intensity plane waves incident on the PC structure. The transmittance of the structure in response to a multiple- incident-angle composite beam is measured. The composite beam measurement is repeated at various incident angle orientations with respect to the sample normal so that, at each angular orientation, the included set of single-angle plane-wave components is unique. A set of measurements recorded over a range of angular orientations results in an underspecified matrix algebra problem. Regularization techniques can be applied to the problem to extract the single-angle plane-wave response of the structure from the composite measurements. Experimental results show very good agreement between the measured and theoretical single-angle plane-wave transmittances.

© 2009 Optical Society of America

OCIS Codes
(070.4790) Fourier optics and signal processing : Spectrum analysis
(300.6340) Spectroscopy : Spectroscopy, infrared

ToC Category:
Spectroscopy

History
Original Manuscript: March 26, 2009
Revised Manuscript: June 2, 2009
Manuscript Accepted: June 4, 2009
Published: June 23, 2009

Citation
Gregory R. Kilby and Thomas K. Gaylord, "Fourier transform infrared transmission microspectroscopy of photonic crystal structures," Appl. Opt. 48, 3716-3721 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-19-3716


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References

  1. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58, 2059-2062(1987). [CrossRef] [PubMed]
  2. S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486-2489(1987). [CrossRef] [PubMed]
  3. M. Imada, S. Noda, A. Chutinan, M. Mochizuiki, and T. Tanaka, “Channel drop filter using a single defect in a 2-d photonic crystal slab waveguide,” J. Lightwave Technol. 20, 873-878 (2002). [CrossRef]
  4. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, “Coupled-resonator optical waveguide: a proposal and analysis,” Opt. Lett. 24, 711-713 (1999). [CrossRef]
  5. A. Mekis, J. Chen, I. Kurland, S. Fan, P. Villeneuve, and J. D. Joannopoulos, “High transmission through sharp bends in photonic crystal waveguides,” Phys. Rev. Lett. 77, 3787-3790(1996). [CrossRef] [PubMed]
  6. E. Miyai, M. Okano, M. Mochizuki, and S. Noda, “Analysis of coupling between two-dimensional photonic crystal waveguide and external waveguide,” Appl. Phys. Lett. 81, 3729-3731 (2002). [CrossRef]
  7. S. Olivier, C. J. M. Smith, H. Benisty, C. Weisbuch, T. Krauss, R. Houdré, and U. Oesterle, “Cascaded photonic crystal guides and cavities: spectral studies and their impact on integrated optics design,” IEEE J. Quantum Electron. 38, 816-824 (2002). [CrossRef]
  8. T. K. Gaylord and G. R. Kilby, “Optical single-angle plane-wave transmittances/reflectances from Schwarzschild objective variable-angle measurements,” Rev. Sci. Instrum. 75, 317-323 (2004). [CrossRef]
  9. P. C. Hansen, Rank-Deficient and Discrete Ill Posed Problems Numerical Aspects of Linear Inversion (Society for Industrial and Applied Mathematics, 1998). [CrossRef]
  10. Department of Mathematical Modeling, “Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems. Version 3.1 for Matlab 6.0,” Technical University of Denmark, Building 305, DK-2800 Lyngby, Denmark, 2001.
  11. A. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problems (Winston and Sons, 1977).
  12. G. R. Kilby, Infrared Methods Applied to Photonic Crystal Device Development (Georgia Institute of Technology, 2005).
  13. S. Rowson, A. Chelnokov, C. Cuisin, and J.-M. Lourtioz, “Three-dimensional characterization of a two-dimensional photonic bandgap reflector at mid-infrared wavelengths,” IEE Proc. Optelectron. 145, 403-408 (1998). [CrossRef]

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