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    Area of Science:

    • Optics and Photonics
    • Fractal Geometry

    Background:

    • Traditional optical field engineering offers limited flexibility.
    • Vectorial optical fields provide control over polarization but can be complex to design.

    Purpose of the Study:

    • To introduce fractal vector optical fields, merging fractal concepts with vector optics.
    • To demonstrate the ability to engineer optical fields and their focal properties using fractal geometry.

    Main Methods:

    • Proposal and design of a novel family of fractal vector optical fields.
    • Experimental creation and characterization of these unique optical fields.
    • Analysis of the resulting focal field properties, including self-similarity.

    Main Results:

    • Fractal vector optical fields exhibit polarization states with fractal geometry.
    • The focal fields generated display self-similarity, a hallmark of fractal patterns.
    • The fractal hierarchy acts as a 'weeding' mechanism to shape the focal field.

    Conclusions:

    • Fractal vector optical fields represent a new paradigm for flexible optical field engineering.
    • The fractal approach allows for precise control over the complex structure of focal fields.
    • This work opens avenues for advanced applications in optics and photonics.