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X-ray Crystallography02:18

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The size of the unit cell and the arrangement of atoms in a crystal may be determined from measurements of the diffraction of X-rays by the crystal, termed X-ray crystallography.
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Modal method for conical diffraction by slanted lamellar gratings.

S Campbell1, L C Botten, R C McPhedran

  • 1Centre for Ultrahigh Bandwidth Devices for Optical Systems (CUDOS), School of Physics, University of Sydney, Sydney, NSW 2006, Australia.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|April 3, 2009
PubMed
Summary
This summary is machine-generated.

Slanted lamellar gratings exhibit Fano resonances, even when homogenized. This study extends modal methods to conical diffraction for analyzing these dielectric gratings and their unique optical properties.

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Area of Science:

  • Optics and Photonics
  • Materials Science

Background:

  • Slanted lamellar gratings are dielectric structures used in conical diffraction mounts.
  • Analyzing their optical properties, especially under conical incidence, requires advanced methods.

Purpose of the Study:

  • To extend the modal method for slanted lamellar gratings to conical incidence.
  • To develop generalized Fresnel matrices and energy conservation relations.
  • To investigate Fano resonances in these gratings and the impact of symmetry.

Main Methods:

  • Extension of the modal method to conical diffraction.
  • Development of generalized Fresnel matrices.
  • Analysis of energy conservation relations.

Main Results:

  • A uniaxial crystal model for slanted lamellar gratings was verified in a homogenization regime.
  • Grating symmetry significantly affects the maximum reflectance of Fano resonances.
  • Slanted lamellar gratings support Fano resonances despite homogenization of other optical properties.

Conclusions:

  • Slanted lamellar gratings can support Fano resonances, a key characteristic for optical applications.
  • The developed methods enable accurate analysis of these gratings under conical diffraction.
  • Understanding the role of symmetry is crucial for optimizing Fano resonance performance.