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A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
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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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Circular polarizers and their effect on partial coherence.

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    A circular polarizer can alter the spatial coherence of partially coherent and polarized light beams. This study details how the polarizer affects coherence area and transmission efficiency.

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    Area of Science:

    • Optics and Photonics
    • Classical Electrodynamics

    Background:

    • Partial coherence and partial polarization are key properties of light beams.
    • Polarizers are optical elements that modify the polarization state of light.

    Purpose of the Study:

    • To investigate the effect of a circular polarizer on partially coherent and partially polarized light.
    • To analyze changes in the coherence area of the light beam after passing through the polarizer.
    • To derive an expression for the transmission efficiency of the circular polarizer.

    Main Methods:

    • Theoretical analysis of light propagation through a circular polarizer.
    • Mathematical formulation of the effects on coherence properties.
    • Derivation of transmission efficiency based on polarization and coherence states.

    Main Results:

    • The circular polarizer can significantly increase or decrease the coherence area of the incident beam.
    • An expression for the transmission efficiency of the polarizer was successfully derived.
    • The interplay between polarization and coherence significantly influences the beam's properties.

    Conclusions:

    • Circular polarizers have a notable impact on the spatial coherence of light.
    • The derived transmission efficiency provides a quantitative understanding of the polarizer's action.
    • This research contributes to the understanding of light-matter interactions in partially coherent and polarized systems.