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Related Concept Videos

Propagation of Uncertainty from Systematic Error01:10

Propagation of Uncertainty from Systematic Error

The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this particular...
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length, the...

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Related Experiment Video

Updated: Jun 29, 2026

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

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Published on: February 8, 2014

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Phase-error estimation and image reconstruction from digital-holography data using a Bayesian framework.

Casey J Pellizzari, Mark F Spencer, Charles A Bouman

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |October 17, 2017
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel method for estimating phase errors from digital holography data using a single measurement. The new technique is robust against noise and significant phase errors, improving imaging and wavefront sensing.

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    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Computational Science

    Background:

    • Accurate phase error estimation is crucial for digital holography applications like imaging and wavefront sensing.
    • Conventional methods struggle with high noise and large phase errors, often requiring multiple independent and identically distributed (i.i.d.) data sets.

    Purpose of the Study:

    • To develop a robust method for estimating isoplanatic phase errors from a single digital holography data realization.
    • To improve the performance of phase error estimation in challenging conditions, such as high noise and significant phase distortions.

    Main Methods:

    • A model-based iterative reconstruction algorithm was developed.
    • The algorithm computes the maximum a posteriori (MAP) estimate for both phase errors and speckle-free object reflectance.
    • Simulated data was used to validate the proposed method.

    Main Results:

    • The proposed method successfully estimates isoplanatic phase errors from a single data set.
    • The algorithm demonstrates robustness against high levels of noise.
    • The method is also effective in the presence of strong phase errors.

    Conclusions:

    • A novel, single-data-realization method for phase error estimation in digital holography has been presented.
    • This approach offers significant advantages over conventional techniques, particularly in noisy and high-error environments.
    • The developed algorithm enhances the reliability of digital holography for imaging and wavefront sensing applications.