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Related Concept Videos

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An ellipse is formed when a right circular cone is intersected by an inclined plane that does not cut through its base. This intersection yields a closed, symmetric curve characterized by distinctive geometric properties. Most notably, an ellipse is defined as the collection of all points in a plane for which the combined distances to two fixed points—called the foci—remain constant.The ellipse features two principal axes: the major and the minor axes. The major axis is the longest...
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A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or...
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In polar coordinates, the motion of a particle follows a curvilinear path. The radial coordinate symbolized as 'r,' extends outward from a fixed origin to the particle, while the angular coordinate, 'θ,' measured in radians, represents the counterclockwise angle between a fixed reference line and the radial line connecting the origin to the particle.
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An ellipse is a fundamental conic section defined by the constant sum of distances from any point on its curve to two fixed points, known as the foci. This geometric property can be physically demonstrated using a pencil, string, and two pins. By anchoring the string at both ends and maintaining it taut with a pencil, one can trace the outline of an ellipse.The shape and extent of the ellipse are determined by its eccentricity, e, defined as the ratio of the distance between the center and a...
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Consider a flywheel, having an uneven mass distribution, rotating steadily around a fixed axis. As this rotation occurs, the center of mass of the flywheel traces a circular path. Understanding the acceleration of this center of mass requires observing both its tangential and normal components.
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Consider a cylindrical shaft with a length denoted by L and a consistent cross-sectional radius referred to as r. This shaft undergoes a torque at the free end. The highest shearing strain within the shaft is directly proportional to the twist angle and the radial distance from the shaft axis. When the shaft behaves elastically, this shearing strain can be articulated using variables such as the applied torque, radial distance, the polar moment of inertia, and the modulus of rigidity. By...
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Radial-variant nonlinear ellipse rotation.

Bo Wen, Yuxiong Xue, Bing Gu

    Optics Letters
    |September 29, 2017
    PubMed
    Summary

    Elliptically polarized vector beams exhibit radial-variant nonlinear ellipse rotation in nonlinear media. This phenomenon creates concentric ring structures, enabling control over polarization and spin angular momentum for optical applications.

    Area of Science:

    • Nonlinear Optics
    • Quantum Optics
    • Photonics

    Background:

    • Nonlinear ellipse rotation is a known phenomenon in nonlinear optics.
    • This effect typically occurs with elliptically polarized beams in isotropic nonlinear media due to third-order nonlinear susceptibility (χ1221(3)).

    Purpose of the Study:

    • To investigate the radial-variant nonlinear ellipse rotation of vector beams with structured elliptical polarization.
    • To explore the formation of concentric ring structures in the orientation and ellipticity angles.
    • To demonstrate the manipulation of beam properties by tuning optical nonlinearity and chirality.

    Main Methods:

    • Theoretical analysis of vector beams propagating through isotropic Kerr nonlinear media.
    • Numerical simulations to observe the effects of nonlinear interactions.

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  • Analysis of far-field intensity patterns, polarization states, and spin angular momentum (SAM) distributions.

    • Main Results:

    • Observed radial-variant nonlinear ellipse rotation in elliptically polarized vector beams (EPVBs).
    • Formation of multiple concentric ring structures in orientation and ellipticity angle distributions with circular symmetry.
    • Demonstrated tunability of self-diffraction patterns, polarization states, and SAM distributions by adjusting nonlinearity and chirality.

    Conclusions:

    • The interaction of EPVBs with isotropic nonlinear media leads to novel polarization dynamics.
    • The observed ring structures and tunable properties offer potential for advanced optical devices.
    • Potential applications include polarization-control optical switching, SAM manipulation, and optical polarization encoding/detection.