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Angular Momentum01:21

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Angular momentum characterizes an object's rotational motion and is defined as the moment of its linear momentum about a specified point O. When a particle moves along a curved path in the x-y plane, the scalar formulation calculates the magnitude of its angular momentum, utilizing the moment arm (d), representing the perpendicular distance from point O to the line of action of the linear momentum. Despite being scalar in formulation, angular momentum is inherently a vector quantity. Its...
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Considering a system that consists of n tiny particles, the angular momentum of any tiny particle may change, but the system's total angular momentum would remain constant. The principle of conservation of angular momentum only considers the net external torque acting on the system. While there are internal forces exerted by different particles within the system that also produce...
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Imagine a rigid body with a mass denoted as 'm', which has its center of mass at point G and is rotating around an inertial reference frame. The angular momentum at an arbitrary point P can be calculated by taking the cross product of the position vector and linear momentum vector for each individual mass element.
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A system's total angular momentum remains constant if the net external torque acting on the system is zero. Examples of such systems include a freely spinning bicycle tire that slows over time due to torque arising from friction, or the slowing of Earth's rotation over millions of years due to frictional forces exerted on tidal deformations. However in the absence of a net external torque, the angular momentum remains conserved. The conservation of angular momentum principle requires a...
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Versatile total angular momentum generation using cascaded J-plates.

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    Cascaded J-plates, optical metasurfaces, generate versatile structured light by coupling spin and orbital angular momentum. This offers novel control over the photon

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    Area of Science:

    • Quantum optics and photonics
    • Metasurface technology
    • Light-matter interactions

    Background:

    • Optical elements coupling spin and orbital angular momentum (SAM/OAM) are crucial for classical and quantum optics.
    • J-plates are metasurface devices that imprint arbitrary OAM states onto orthogonal spin states.

    Purpose of the Study:

    • To investigate the capabilities of cascaded J-plates for generating structured light.
    • To explore novel methods for controlling the total angular momentum (TAM) of light.

    Main Methods:

    • Cascading multiple J-plate metasurfaces in series.
    • Characterizing the output beams' properties, including OAM, SAM, and polarization states.

    Main Results:

    • Cascaded J-plates generate single quantum number beams and complex superpositions.
    • Output polarization states are not limited to conjugates of input states, unlike previous converters.
    • Demonstrated generation of vector vortex beams and intricate structured light patterns.

    Conclusions:

    • Cascaded J-plates offer a flexible platform for generating diverse structured light states.
    • This technology provides advanced control over the total angular momentum (TAM) of light.
    • Opens new avenues for applications in quantum information processing and optical manipulation.