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Diffractive m-bonacci lenses.

Federico Machado, Vicente Ferrando, Walter D Furlan

    Optics Express
    |April 7, 2017
    PubMed
    Summary
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    Generalized Fibonacci zone plates offer new possibilities for designing bifocal diffractive lenses. These novel optical elements enable precise control over twin axial foci separation for advanced imaging devices.

    Area of Science:

    • Optics and Photonics
    • Diffractive Optics
    • Image Forming Devices

    Background:

    • Fibonacci zone plates are recognized for their potential in optical imaging.
    • Existing zone plate designs have limitations in controlling focal properties.

    Purpose of the Study:

    • To introduce a generalized family of diffractive lenses based on m-bonacci sequences.
    • To demonstrate the design of bifocal systems with tunable focal properties.

    Main Methods:

    • Mathematical formulation based on m-bonacci sequences.
    • Design and simulation of generalized zone plates.
    • Experimental validation of proposed diffractive lenses.

    Main Results:

    • Fibonacci zone plates are a specific case within the new m-bonacci lens family.

    Related Experiment Videos

  • The separation of twin axial foci is controllable via the m-golden mean.
  • Experimental results confirm the predicted bifocal behavior.

    • Conclusions:

    • The generalization of Fibonacci zone plates to m-bonacci sequences allows for flexible design of bifocal optical systems.
    • This approach provides precise control over focal plane separation, enhancing image-forming device capabilities.