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    Area of Science:

    • Optics and Optical Engineering
    • Image Science

    Background:

    • Apodization functions are crucial for controlling light distribution in optical systems.
    • Central obstructions significantly impact image quality by affecting diffraction patterns.

    Purpose of the Study:

    • To investigate apodization functions with decreasing and increasing transmission characteristics.
    • To evaluate the effect of various central obstruction ratios on imaging performance.

    Main Methods:

    • Analysis of apodization functions with varying transmission profiles.
    • Calculation and presentation of modulation transfer functions (MTFs).
    • Systematic variation of central obstruction ratios.

    Main Results:

    • Modulation transfer functions were determined for different apodization functions.
    • The impact of central obstruction ratios on MTF was quantified.
    • Specific apodization strategies showed potential for performance improvement.

    Conclusions:

    • Apodization functions can be tailored to mitigate the negative effects of central obstructions.
    • Optimized apodization offers a pathway to enhanced imaging system performance.
    • Further research can leverage these findings for advanced optical designs.