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When magnetic nuclei in a sample achieve resonance and undergo relaxation, the signal detected in NMR is an approximately exponential free induction decay. Fourier transform of an exponential decay yields a Lorentzian peak in the frequency domain. Lorentzian peaks in an NMR spectrum are defined by their amplitude, full width at half maximum, and position, where the peak width is governed by the spin-spin relaxation time alone. In real experiments, however, the applied magnetic field is rendered...
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Large depth range DH-PSF with high peak confinement invariance.

Zhihao Zhou, Jing Han, Zhuang Zhao

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    This study enhances double-helix point spread function (DH-PSF) designs for improved depth localization. By optimizing the superposition field range, DH-PSF achieves a wider applicable range with high precision.

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    Area of Science:

    • Optics
    • Optical Engineering
    • Microscopy

    Background:

    • Double-helix point spread function (DH-PSF) designs offer depth localization capabilities but face limitations in applicable range and precision.
    • Existing Fresnel zone-based DH-PSF designs struggle with precision due to increased side lobes and weakened main lobes at larger ranges.

    Purpose of the Study:

    • To develop an improved DH-PSF design that overcomes the trade-off between applicable range and localization precision.
    • To demonstrate a method for flexibly adjusting the applicable range of DH-PSF while maintaining high peak confinement.

    Main Methods:

    • Replaced the Fresnel zone constraint with a superposition field range constraint for DH-PSF design.
    • Determined the measurement range based on the superposition field and adjusted radial region widths to enhance peak confinement.
    • Utilized theoretical analysis and experimental validation, including particle imaging in industrial applications.

    Main Results:

    • The proposed method allows flexible adjustment of the applicable range for DH-PSF with high peak confinement invariance.
    • Experimental results show an improvement in the measurement range from 30 mm to 100 mm under specific design parameters.
    • Demonstrated successful localization performance in industrial particle imaging applications.

    Conclusions:

    • The superposition field range is a critical factor in determining the rotating PSF range.
    • Optimizing radial region width based on the superposition field range enables the creation of DH-PSF with both a wide applicable range and high precision.
    • The presented approach offers a viable solution for high-performance depth localization in industrial settings.