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Relating wavefront error, apodization, and the optical transfer function: on-axis case.

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    A new linear expansion method quickly generates the incoherent optical transfer function (OTF) from optical system parameters. This approach speeds up calculations of contrast degradation and phase shifts for various spatial frequencies.

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    Area of Science:

    • Optics and Photonics
    • Image Science
    • Optical Engineering

    Background:

    • The incoherent optical transfer function (OTF) quantifies image quality by describing contrast loss and phase shifts.
    • Calculating the OTF typically involves computationally intensive methods like pupil function autocorrelation or point spread function Fourier transforms.
    • These calculations can become prohibitively slow for densely sampled optical system pupils.

    Purpose of the Study:

    • To develop a computationally efficient method for generating the incoherent optical transfer function (OTF).
    • To establish a linear expansion of the OTF based on key optical system parameters.
    • To enable rapid OTF computation directly from wavefront error and apodization coefficients.

    Main Methods:

    • Developed a linear expansion representation for the incoherent optical transfer function (OTF).
    • Derived expansion coefficients related to wavefront error and apodization.
    • Validated the efficiency of the new method for OTF generation.

    Main Results:

    • The linear expansion provides a significantly faster alternative for OTF calculation.
    • The method accurately generates the OTF using readily available optical system parameters.
    • Computational time is drastically reduced compared to traditional autocorrelation or Fourier transform methods.

    Conclusions:

    • A novel linear expansion enables rapid and accurate computation of the incoherent OTF.
    • This method offers a practical advantage for optical system design and analysis.
    • The approach simplifies the process of predicting image quality metrics from system parameters.