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Angular Momentum01:21

Angular Momentum

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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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Conservation of Angular Momentum01:09

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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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An atomic orbital represents the three-dimensional regions in an atom where an electron has the highest probability to reside. The radial distribution function indicates the total probability of finding an electron within the thin shell at a distance r from the nucleus. The atomic orbitals have distinct shapes which are determined by l, the angular momentum quantum number. The orbitals are often drawn with a boundary surface, enclosing densest regions of the cloud.
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The angular impulse and momentum principle provides insights into how forces applied at a distance from an object's rotational axis influence its angular velocity. It builds upon the crucial relationship between the moment of force and angular momentum. By integrating this equation, substituting the limits for the initial and final times, a comprehensive expression representing the angular impulse and momentum principle is derived.
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Angular Momentum about an Arbitrary Axis01:11

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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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Conservation of Angular Momentum: Application01:18

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Application of Deep Learning-Based Medical Image Segmentation via Orbital Computed Tomography
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Improved edge detection in computational ghost imaging by introducing orbital angular momentum.

Sajjad Rajabi Ghaleh, Sohrab Ahmadi-Kandjani, Reza Kheradmand

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    Orbital angular momentum (OAM) enhances edge detection in computational ghost imaging (CGI). This method improves image visibility and contrast, requiring fewer measurements for effective edge reconstruction.

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    Area of Science:

    • Optics and Photonics
    • Image Processing
    • Quantum Information Science

    Background:

    • Computational ghost imaging (CGI) is a technique for reconstructing images using spatially correlated light beams.
    • Traditional CGI methods face limitations in image quality and edge detection capabilities.
    • Orbital angular momentum (OAM) is a property of light that can be used to encode information and manipulate light beams.

    Purpose of the Study:

    • To investigate the effect of OAM on CGI performance.
    • To enhance edge formation and image quality in CGI.
    • To compare OAM-assisted CGI with conventional CGI methods.

    Main Methods:

    • Theoretical and experimental study of ghost image formation using OAM-encoded light.
    • Correlation of object and reference beams with and without OAM.
    • Analysis of image visibility, contrast-to-noise ratio, and signal-to-noise ratio.
    • Evaluation of edge detection enhancement and required shot numbers.

    Main Results:

    • Application of OAM to object light phase enhances edge formation in CGI.
    • OAM incorporation leads to higher visibility and contrast-to-noise ratio in ghost imaging.
    • Edge detection is considerably enhanced compared to standard CGI, despite lower signal-to-noise ratios.
    • The OAM method requires fewer measurements for image construction.

    Conclusions:

    • Orbital angular momentum significantly improves edge detection in computational ghost imaging.
    • OAM-based CGI offers superior image quality metrics like visibility and contrast.
    • This approach provides an efficient method for edge reconstruction in ghost imaging with reduced data acquisition.