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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Related Experiment Video

Updated: Nov 4, 2025

Transmission of Multiple Signals through an Optical Fiber Using Wavefront Shaping
09:43

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Published on: March 20, 2017

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Learning Optimal Wavefront Shaping for Multi-Channel Imaging.

Elias Nehme, Boris Ferdman, Lucien E Weiss

    IEEE Transactions on Pattern Analysis and Machine Intelligence
    |May 24, 2021
    PubMed
    Summary
    This summary is machine-generated.

    Multi-channel wavefront coding significantly improves 3D tracking in low-light microscopy. This advanced technique doubles detection rates and enhances precision for dense biological samples.

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    Area of Science:

    • Optics and Photonics
    • Biophysics
    • Microscopy

    Background:

    • Accurate 3D tracking of moving objects requires fast depth information acquisition.
    • Snapshot depth sensing often utilizes wavefront coding to engineer point-spread functions (PSFs) that vary with depth.
    • Current low-light microscopy, like 3D localization microscopy, typically uses single-channel, phase-only wavefront modulation.

    Purpose of the Study:

    • To demonstrate that multi-channel wavefront coding is superior to single-channel approaches for 3D tracking, even in low-light conditions.
    • To optimize wavefront coding for dense biological samples where PSF overlap is a limitation.
    • To improve the detectability and precision of 3D localization microscopy.

    Main Methods:

    • Developed and implemented a multi-channel wavefront coding scheme using a bifurcated optical system.
    • Employed end-to-end learned phase masks for a split-signal system.
    • Validated the method through snapshot volumetric imaging and 3D tracking of fluorescently labelled subcellular elements.

    Main Results:

    • The multi-channel approach significantly improves upon the single-channel paradigm in low-light applications.
    • In densely labelled live cells, the split-signal system doubled the detection rate compared to state-of-the-art single-channel designs.
    • Achieved improved precision in 3D localization and tracking of subcellular elements in dense environments.

    Conclusions:

    • Multi-channel wavefront coding offers a substantial advancement for 3D tracking in demanding imaging scenarios.
    • This method overcomes limitations posed by overlapping PSFs in dense biological samples.
    • The developed technique enhances both the detectability and precision of 3D localization microscopy.