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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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Coding/decoding two-dimensional images with orbital angular momentum of light.

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    We demonstrate encoding and decoding of 2D information using light's orbital angular momentum (OAM). This method successfully recovers spatial data encoded with specific OAM states using complementary states.

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    Area of Science:

    • Optics and Photonics
    • Information Encoding
    • Quantum Information

    Background:

    • Orbital angular momentum (OAM) offers a unique degree of freedom for light.
    • Efficient encoding and decoding of spatial information remain challenges.

    Purpose of the Study:

    • To investigate the use of OAM for encoding and decoding two-dimensional information.
    • To demonstrate a method for recovering spatial data encoded with OAM states.

    Main Methods:

    • Utilized spiral phase plates for encoding OAM states.
    • Employed phase-only spatial light modulators for decoding OAM states.
    • Experimentally verified the recovery of off-axis points and spatial variables.

    Main Results:

    • Successfully encoded and decoded 2D information using OAM states.
    • Demonstrated that spatial variables encoded with a specific OAM state can be recovered.
    • Showed the effectiveness of complementary OAM states in the decoding process.

    Conclusions:

    • OAM provides a robust framework for 2D information encoding and decoding.
    • The proposed method using spiral phase plates and spatial light modulators is effective.
    • This technique has potential applications in optical communications and data storage.