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Forward calculation for interferometers: method and validation.

L M McMillin, M D Goldberg, H Ding

    Applied Optics
    |February 15, 2008
    PubMed
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    This study introduces a faster, accurate method for calculating instrument response in unapodized interferometers. The new approach approximates radiance and transmittance, improving computational efficiency for atmospheric science applications.

    Area of Science:

    • Atmospheric science
    • Interferometry
    • Radiative transfer

    Background:

    • Interferometers are crucial for atmospheric measurements.
    • Calculating instrument response accurately is computationally intensive.
    • Existing methods require high-resolution data and multiple Fourier transforms.

    Purpose of the Study:

    • To develop a computationally efficient approximation for the instrument response of unapodized interferometers.
    • To enable faster calculation of atmospheric radiances and transmittances.
    • To maintain accuracy comparable to exact methods.

    Main Methods:

    • Utilizing frequency-local functions (within 5 wavenumbers) for Planck function calculations.
    • Employing well-behaved transmittance functions for existing calculation procedures.

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  • Approximating radiance and transmittance for unapodized interferometers.

    • Main Results:

    • The approximation significantly reduces computation time compared to high-resolution methods.
    • Brightness temperatures calculated using this method agree with exact values to within 0.01 K.
    • The approach is validated for accuracy and speed.

    Conclusions:

    • The presented method provides an accurate and fast approach for calculating unapodized interferometer radiances.
    • This technique can also be applied to compute transmittances.
    • The method is suitable for real-time atmospheric data processing.