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Why did Poincaré use a sphere to represent polarized light?
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Poincaré sphere may refer to: Poincaré sphere (optics), a graphical tool for visualizing different types of polarized light. Bloch sphere, a related tool for representing states of a two-level quantum mechanical system. Poincaré homology sphere, in mathematics, an example of a homology sphere.
Sep 11, 2020 · Learn how to map polarization states to the Poincaré sphere using azimuthal and ellipticity angles, and how to calculate the Stokes parameters and polarization state evolution. The Poincaré sphere is a useful tool for visualizing and analyzing polarized light, and simplifies the math needed for polarization calculations.
Learn how to use the Poincare sphere to represent and calculate polarization states and effects of polarizing components. See diagrams, definitions, and examples of linear, elliptical, and circular polarizations.
In order to overcome these difficulties Poincaré (1892) suggested using a sphere now known as the Poincaré sphere to represent polarized light. The following figure shows the Poincaré sphere and its spherical and Cartesian coordinates.
Henri Poincare in about 1892 formulated a concept that resulted in a virtual sphere that can used to graphically represent any polarization state of light. This virtual sphere now is called the Poincare Sphere.
In order to understand the behavior on the unbounded plane R2, we present the Poincare sphere, a compacti-fication of the plane to a half-sphere on which ¥ becomes the edge and the asymptotic dynamics can be tracked. Warm-up: Poincare circle - Compactifying dynamics on the line R.
This is the famous Poincaré sphere. It is easy to understand what the polarization ellipse would look like for any point on the sphere. In the example below, the green dot represents horizontal linear polarization, and the blue dot represents right handed circular polarization.