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Closed-form expressions to fit data obtained with a multipass Fabry-Perot interferometer.

H Boukari, E D Palik, R W Gammon

    Applied Optics
    |October 22, 2010
    PubMed
    Summary

    We developed a method to simplify analyzing scattering line shapes with multipass Fabry-Perot interferometers. This technique reduces complex calculations for improved spectral analysis and understanding interferometer effects.

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    Line-shape studies for single- and triple-pass Fabry-Perot interferometer systems.

    Applied optics·2010

    Area of Science:

    • Optics and Spectroscopy
    • Interferometry
    • Physical Chemistry

    Background:

    • Multipass Fabry-Perot interferometers (FP) are used to analyze scattering lines.
    • Analyzing the line shapes produced by multipass FP systems can be computationally complex.
    • Understanding the impact of experimental parameters like collecting pinholes is crucial.

    Purpose of the Study:

    • To develop a simplified method for deriving closed-form expressions for line shapes in multipass FP systems.
    • To reduce the convolution problem in multipass FP analysis to a single-pass problem.
    • To investigate the effect of a collecting pinhole on sharp lines in multipassing.

    Main Methods:

    • Developed a novel analytical method to derive closed-form expressions for multipass FP line shapes.

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  • Reduced the mathematical complexity of multipass spectral analysis.
  • Applied the method to Lorentzian and damped-harmonic-oscillator line shapes across single, triple, and quintuple passes.

    • Main Results:

    • Successfully derived a closed-form expression for ideal multipass FP line shapes.
    • Demonstrated the method's effectiveness with various line types and pass numbers.
    • Quantified the effect of the collecting pinhole on sharp spectral lines in multipass configurations.

    Conclusions:

    • The developed method simplifies the analysis of scattering lines obtained with multipass Fabry-Perot interferometers.
    • This approach facilitates accurate spectral fitting and a deeper understanding of interferometer performance.
    • The findings are applicable to optimizing experimental setups and interpreting spectral data.