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Quantitative Optical Microscopy: Measurement of Cellular Biophysical Features with a Standard Optical Microscope
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Modal-based nonlinear optimization algorithm for wavefront measurement with under-sampled data.

Lei Zhao, Jian Bai, Yan Hao

    Optics Letters
    |October 1, 2020
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    Summary
    This summary is machine-generated.

    This study introduces a new phase retrieval method to accurately measure wavefronts from limited intensity data, overcoming aliasing effects in optical systems. The technique enhances measurement accuracy for high numerical aperture optical systems.

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    Area of Science:

    • Optics and Photonics
    • Computational Imaging
    • Metrology

    Background:

    • Aliasing in discrete Fourier transforms degrades phase retrieval accuracy with under-sampled intensity data.
    • Conventional phase retrieval methods struggle with limited intensity information, particularly in high numerical aperture systems.

    Purpose of the Study:

    • To develop a robust phase retrieval approach for accurate wavefront measurements using under-sampled intensity data.
    • To overcome the limitations imposed by aliasing effects in discrete Fourier transform-based measurements.

    Main Methods:

    • A modal-based nonlinear optimization phase retrieval approach was developed.
    • Extended Nijboer-Zernike theory was employed to establish an analytic solution between wavefront phase and intensity.
    • Nonlinear optimization was used to solve for wavefront aberration coefficients from under-sampled intensity data.

    Main Results:

    • The proposed method successfully retrieves wavefront measurements from under-sampled intensity data.
    • Simulations and experiments verified the feasibility and accuracy of the algorithm.
    • The technique effectively mitigates the detrimental effects of aliasing.

    Conclusions:

    • The modal-based nonlinear optimization phase retrieval is a promising method for accurate wavefront recovery.
    • This approach is particularly suitable for full-field phase recovery in optical systems with high numerical apertures.