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Apodizing functions for Fourier transform spectroscopy.

David A Naylor1, Margaret K Tahic

  • 1Department of Physics, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4, Canada. naylor@uleth.ca

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|November 3, 2007
PubMed
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This study expands optimal apodizing functions for Fourier transform spectroscopy (FTS). New functions balance spectral resolution and instrumental line shape (ILS) sidelobe reduction, offering improved performance over existing methods.

Area of Science:

  • Spectroscopy
  • Optical Physics
  • Signal Processing

Background:

  • Apodizing functions are crucial in Fourier transform spectroscopy (FTS) to mitigate sidelobes in the instrumental line shape (ILS).
  • These sidelobes arise from the finite optical path difference in interferograms.
  • Existing optimal apodizing functions balance spectral resolution loss with sidelobe reduction.

Purpose of the Study:

  • To extend the series of optimal apodizing functions for FTS.
  • To investigate functions that increase the ILS width by factors of 1.1 to 2.0.
  • To compare these new functions with commonly used apodizing functions.

Main Methods:

  • Mathematical derivation and application of new apodizing functions.
  • Analysis of the instrumental line shape (ILS) characteristics.

Related Experiment Videos

  • Comparative study of spectral resolution and sidelobe reduction.

    • Main Results:

    • Development of a new set of optimal apodizing functions for FTS.
    • Demonstration of controlled increases in ILS width (1.1x to 2.0x).
    • Quantitative comparison of performance against established apodizing functions.

    Conclusions:

    • The extended series of optimal apodizing functions offers greater flexibility in managing the trade-off between ILS sidelobe reduction and spectral resolution.
    • These new functions provide valuable alternatives for specific FTS applications requiring tailored ILS characteristics.