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X-ray Crystallography02:18

X-ray Crystallography

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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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Diffraction is the change in the direction of travel experienced by an electromagnetic wave when it encounters a physical barrier whose dimensions are comparable to those of the wavelength of the light. X-rays are electromagnetic radiation with wavelengths about as long as the distance between neighboring...
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Related Experiment Video

Updated: Sep 24, 2025

Writing Bragg Gratings in Multicore Fibers
08:48

Writing Bragg Gratings in Multicore Fibers

Published on: April 20, 2016

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Chebyshev apodized fiber Bragg gratings.

Nai-Hsiang Sun1, Min-Yu Tsai1, Jiun-Jie Liau2

  • 1Department of Electrical Engineering, 54791I-Shou University, Kaohsiung, Taiwan.

Science Progress
|May 5, 2022
PubMed
Summary

A new Chebyshev apodization technique for fiber Bragg gratings (FBGs) is introduced. This method offers flattened sidelobes in reflection spectra, showing potential for optical filters and sensors.

Keywords:
Chebyshev polynomialFiber bragg gratingsbragg reflectorsoptical fiber devicesoptical fiber filters

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Area of Science:

  • Optoelectronics
  • Photonics
  • Materials Science

Background:

  • Fiber Bragg gratings (FBGs) are crucial optical components.
  • Traditional Gaussian apodization has limitations in sidelobe control.
  • Chebyshev polynomials are established for optimal filter and antenna design.

Purpose of the Study:

  • To propose and analyze a novel Chebyshev apodization structure for FBGs.
  • To investigate the performance of Chebyshev-apodized FBGs compared to Gaussian-apodized FBGs.
  • To explore the application potential of Chebyshev apodization in optical devices.

Main Methods:

  • A discrete section approach is used, dividing the grating into uniform sections.
  • Chebyshev polynomial is employed to define the index change across sections.
  • Coupled mode theory and piecewise-uniform analysis are utilized for calculations.
  • Reflection spectra and dispersion characteristics are simulated and compared.

Main Results:

  • Chebyshev-apodized FBGs exhibit flattened sidelobes with high sidelobe suppression.
  • Simulations show an absolute sidelobe suppression level of -95.9 dB for Chebyshev apodization.
  • Compared to Gaussian FBGs at the same bandwidth, Chebyshev FBGs have slightly lower sidelobe suppression but similar dispersion.

Conclusions:

  • Chebyshev apodization is a viable technique for designing FBGs with specific spectral characteristics.
  • This method shows promise for applications in optical filters, dispersion compensators, and sensors.
  • The Chebyshev apodization approach can be extended to the design of periodic dielectric waveguides.