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Related Concept Videos

Stokes' Law01:20

Stokes' Law

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Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only...
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For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
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The divergence and Stokes' theorems are a variation of Green's theorem in a higher dimension. They are also a generalization of the fundamental theorem of calculus. The divergence theorem and Stokes' theorem are in a way similar to each other; The divergence theorem relates to the dot product of a vector, while Stokes' theorem relates to the curl of a vector. Many applications in physics and engineering make use of the divergence and Stokes' theorems, enabling us to write...
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pH Scale02:41

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Hydronium and hydroxide ions are present both in pure water and in all aqueous solutions, and their concentrations are inversely proportional as determined by the ion product of water (Kw). The concentrations of these ions in a solution are often critical determinants of the solution’s properties and the chemical behaviors of its other solutes. Two different solutions can differ in their hydronium or hydroxide ion concentrations by a million, billion, or even trillion times. A common means of...
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Scaling01:26

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In designing and analyzing filters, resonant circuits, or circuit analysis at large, working with standard element values like 1 ohm, 1 henry, or 1 farad can be convenient before scaling these values to more realistic figures. This approach is widely utilized by not employing realistic element values in numerous examples and problems; it simplifies mastering circuit analysis through convenient component values. The complexity of calculations is thereby reduced, with the understanding that...
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Chromatin immunoprecipitation, or ChIP, is an antibody-based technique used to identify sites on DNA that bind to transcription factors of interest or histone proteins. It also helps determine the type of histone modifications such as acetylation, phosphorylation, or methylation.
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Related Experiment Video

Updated: Jan 27, 2026

On-Chip Crystallization and Large-Scale Serial Diffraction at Room Temperature
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Chip-scale, full-Stokes polarimeter.

Zhongjin Lin, Leslie Rusch, Yuxuan Chen

    Optics Express
    |March 17, 2019
    PubMed
    Summary

    We developed a compact, silicon chip-based polarimeter that analyzes light polarization. This system-on-a-chip offers high performance, enabling new applications for polarization analysis in a small, cost-effective package.

    Area of Science:

    • Photonics and optical engineering
    • Solid-state device physics
    • Integrated optics

    Background:

    • Light polarization provides valuable information for diverse applications.
    • Conventional polarimeters utilize bulky, expensive discrete optical components, hindering widespread adoption.
    • A compact, low-cost polarimeter is needed to expand the use of polarization analysis.

    Purpose of the Study:

    • To present a high-performance, full-Stokes polarimeter integrated onto a silicon chip.
    • To demonstrate a compact, stable, and fast solid-state polarimeter solution.
    • To offer a scalable design for integrated arrays and advanced imaging.

    Main Methods:

    • Fabrication of a system-on-a-chip polarimeter using silicon photonics.
    • Integration of a surface polarization splitter and an on-chip optical interferometer circuit.

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  • Performance analysis including measurement error evaluation and matrix analysis.
  • Main Results:

    • Demonstration of a compact, high-performance full-Stokes polarimeter on a silicon chip.
    • Achieved exceptional compactness, stability, and speed compared to conventional systems.
    • The design is scalable for single-chip use or integrated arrays for enhanced imaging.

    Conclusions:

    • The developed silicon chip polarimeter offers a compact and cost-effective solution for light polarization analysis.
    • This technology enables new applications and revolutionizes the exploitation of polarization information.
    • The scalable design supports advanced full-Stokes imaging with increased speed and resolution.