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Three-dimensional diffusion coefficient measurement by a large depth-of-field rotating point spread function.

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    Researchers developed a compact double-helix pointspread-function (DH-PSF) for faster, more accurate 3D single-molecule localization microscopy. This improved DH-PSF enhances nanoparticle tracking and diffusion measurements in biological samples.

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    Area of Science:

    • Optical Microscopy
    • Nanotechnology
    • Biophysics

    Background:

    • Accurate 3D single-molecule localization microscopy (SMLM) is crucial for observing dynamic nano-objects.
    • Double-helix pointspread-function (DH-PSF) engineering enables 3D localization by correlating PSF rotation with depth.
    • Existing DH-PSF methods face challenges in achieving compact main lobe size, effective detection depth, and precise depth conversion.

    Purpose of the Study:

    • To generate a more compact and efficient DH-PSF for improved 3D SMLM.
    • To enhance the accuracy of axial localization and depth conversion in DH-PSF microscopy.
    • To validate the performance of the novel DH-PSF for measuring nanoparticle diffusion coefficients.

    Main Methods:

    • Generation of a compact DH-PSF utilizing Fresnel-zone-based spiral phase masks.
    • Characterization of DH-PSF properties, including main lobe size, transmission efficiency, and rotation rate linearity.
    • Calculation of Cramer-Rao lower bounds for axial localization precision and detection depth.
    • Measurement of nanosphere diffusion coefficients in varying glycerol concentrations using the developed DH-PSF.

    Main Results:

    • A pure phase mask generated a compact DH-PSF with high transmission efficiency.
    • The generated DH-PSF exhibited a linear rotation rate, enabling accurate depth conversion (up to ~11µm).
    • Axial localization precision reached ~45 nm at 3000 photons with an average background noise of 15.
    • Measured diffusion coefficients showed less than 6% error compared to theoretical values.

    Conclusions:

    • The novel Fresnel-zone-based DH-PSF offers superior performance for 3D SMLM.
    • This method significantly improves axial localization accuracy and extends the effective detection depth.
    • The DH-PSF is highly suitable for precise measurements of nanoparticle dynamics, such as diffusion coefficients.