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Related Concept Videos

Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the electric field and the charge enclosed in a region depending on its charge distribution.
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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Supercontinuum generation in a multi-plate medium.

Yu-Chen Cheng, Chih-Hsuan Lu, Yuan-Yao Lin

    Optics Express
    |May 4, 2016
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    Summary
    This summary is machine-generated.

    We demonstrate a novel method for generating supercontinuum with femtosecond lasers using distributed thin solid plates. This technique prevents pulse breakup, enabling desired spectral expansion for high-power applications.

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    Area of Science:

    • Nonlinear Optics
    • Laser Physics
    • Materials Science

    Background:

    • Supercontinuum generation is crucial for various applications.
    • Pulse breakup limits supercontinuum quality in bulk media.
    • Controlling nonlinear propagation is essential for stable generation.

    Purpose of the Study:

    • To investigate femtosecond supercontinuum generation in a distributed thin solid plate scheme.
    • To inhibit pulse breakup while achieving desired spectral expansion.
    • To establish criteria for optimizing the distributed supercontinuum generation process.

    Main Methods:

    • Analyzing femtosecond supercontinuum generation.
    • Utilizing a distribution of thin solid plates.
    • Varying plate thickness, initial laser intensity, and plate location.
    • Confirming results with high input peak power.

    Main Results:

    • The distributed plate scheme effectively inhibits pulse breakup.
    • Desired spectral expansion is achieved.
    • A fully-coherent and intense supercontinuum is generated.
    • The method is effective up to 2000 times the critical power for self-focusing.

    Conclusions:

    • Distributed thin solid plates offer a robust method for high-quality supercontinuum generation.
    • The proposed criteria enable predictable and controllable supercontinuum generation.
    • This technique overcomes limitations of traditional bulk media methods.