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Related Concept Videos

Polar Curves01:19

Polar Curves

The spirograph is a versatile tool for visualizing the relationship between geometry and mathematical representation. In particular, it demonstrates how polar coordinates offer an alternative framework for describing curves in comparison to Cartesian coordinates. Instead of specifying a point by its horizontal and vertical displacements (x, y), polar coordinates use a radius r, the distance from the origin, and an angle θ, measured counterclockwise from the polar axis. This system is...
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Stokes’ Theorem provides a fundamental connection between the circulation of a vector field along a closed boundary and the cumulative rotational behavior across the surface it encloses. For a smooth three-dimensional surface with an oriented boundary curve, this theorem offers a unified way to relate motion along the edge to local rotational effects distributed over the surface.Mathematical FormulationThe theorem states that the circulation of a vector field along a closed curve is equal to...

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Digital Stokes polarimetry and its application to structured light: tutorial.

Keshaan Singh, Najmeh Tabebordbar, Andrew Forbes

    Journal of the Optical Society of America. A, Optics, Image Science, and Vision
    |November 11, 2020
    PubMed
    Summary
    This summary is machine-generated.

    This tutorial introduces digital Stokes polarimetry using modern optical tools like spatial light modulators. This fast, cost-effective method enables real-time analysis of complex light fields, advancing structured light research.

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    Area of Science:

    • Optics and Photonics
    • Quantum Optics
    • Optical Engineering

    Background:

    • Stokes polarimetry is crucial for analyzing optical field polarization.
    • Traditional methods use static components, limiting real-time, automated analysis.
    • Fast-changing optical fields require dynamic polarization measurement techniques.

    Purpose of the Study:

    • To provide a tutorial on performing Stokes polarimetry using an all-digital approach.
    • To demonstrate fast, cost-effective, and dynamic extraction of Stokes parameters.
    • To showcase digital polarimetry's application to structured light analysis.

    Main Methods:

    • Exploiting liquid-crystal-on-silicon spatial light modulators (SLMs) for digital polarimetry.
    • Utilizing digital micromirror devices (DMDs) for an alternative digital polarimetry approach.
    • Implementing two distinct digital methods for Stokes parameter extraction.

    Main Results:

    • Successfully demonstrated two digital Stokes polarimetry techniques.
    • Showcased the applicability to structured light fields.
    • Identified and illustrated common experimental challenges in digital polarimetry.

    Conclusions:

    • Digital Stokes polarimetry offers a fast, cheap, and dynamic alternative to traditional methods.
    • This approach is well-suited for analyzing complex light fields, including structured light.
    • Enables measurement of key parameters like polarization state and degree of vectorness.