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    This study introduces a hybrid 4Pi microscopy system with an engineered point-spread function (PSF) for precise 3D localization of light emitters. The novel approach enhances precision across all directions, improving upon conventional single-molecule localization microscopy (SMLM).

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    Area of Science:

    • Optical microscopy
    • Nanoscale imaging
    • Biophysics

    Background:

    • Accurate 3D localization of light emitters is crucial in various scientific fields.
    • 4Pi single-molecule localization microscopy (SMLM) offers high axial precision but suffers from lateral precision loss at greater distances from the focal plane.

    Purpose of the Study:

    • To develop an improved 4Pi SMLM system for enhanced 3D emitter localization.
    • To overcome the limitations of conventional 4Pi SMLM regarding lateral precision and axial range.

    Main Methods:

    • Implementation of a hybrid system combining type-B 4Pi microscopy with an engineered point-spread function (PSF).
    • Optimization of the interferometric PSF using the Cramer-Rao metric for maximal information content.
    • Performance evaluation against conventional 4Pi SMLM and non-interferometric PSFs.

    Main Results:

    • The engineered PSF significantly enhances information content for 3D emitter localization.
    • The hybrid system demonstrates a larger axial range compared to conventional 4Pi SMLM.
    • Achieved doubled photon efficiency and superior precision in all directions relative to non-interferometric PSFs.

    Conclusions:

    • The proposed hybrid 4Pi SMLM system with an engineered PSF offers superior 3D localization performance.
    • This advancement provides a more robust and precise tool for nanoscale imaging applications.
    • The optimized PSF design represents a significant step forward in super-resolution microscopy.