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    The size of the object blocking the sun is the main factor determining outdoor shadow brightness. Larger objects create darker, non-uniform shadows, while smaller objects create brighter, uniform shadows.

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    Area of Science:

    • Optics
    • Atmospheric Science
    • Radiometry

    Background:

    • Outdoor shadow brightness is influenced by complex interactions of direct sunlight, diffuse skylight, and surrounding object geometry.
    • Understanding shadow characteristics is crucial for applications ranging from solar energy to visual comfort.

    Purpose of the Study:

    • To investigate the brightness distribution within and around outdoor shadows under various sky conditions.
    • To identify key factors governing shadow brightness and develop predictive models.

    Main Methods:

    • Utilized a combination of physical field measurements and mathematical modeling.
    • Analyzed the impact of the object's solid angle subtended from the Sun (occulter size) on shadow properties.

    Main Results:

    • Shadow brightness is primarily determined by the solid angle of the sun-blocking object.
    • Zenith occulters with small solid angles produce bright, uniform shadows; large occulters create darker, non-uniform shadows.
    • Non-zenith occulters result in darker shadow centers and brightness variations based on proximity to the Sun.

    Conclusions:

    • The solid angle of the occulter is the dominant factor in shadow brightness and uniformity.
    • Surrounding objects and atmospheric phenomena like the aureole significantly influence shadow edge brightness.
    • Developed semi-analytic formulations for shadow brightness and derived analytic expressions for specific geometries like wells and tunnels.