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    Image formation from curved mirrors is complex. This study reveals how caustic surfaces and flux density peaks precisely locate images, validated by experiments.

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    Area of Science:

    • Optics and Photonics
    • Computational Physics

    Background:

    • Image formation in optical systems is challenging.
    • Rays often fail to converge at a single point, complicating image location.

    Purpose of the Study:

    • To investigate image formation from a spherical concave mirror.
    • To analyze caustic surfaces and flux density distributions.

    Main Methods:

    • Calculation of caustic surfaces.
    • Computation of flux density cross sections on image planes.
    • Experimental validation of theoretical models.

    Main Results:

    • Identified two caustic surfaces, one 1D and one forming a surface.
    • Observed metamorphosis of the surface caustic from a cone to an open shape.
    • Correlated cross sections of caustic surfaces with flux density peaks.

    Conclusions:

    • Experimental results validate the theoretical findings.
    • Caustic surface geometry is key to understanding image formation and flux density peaks.