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    Transparent concentric rings coded with Barker sequences extend focal depth for imaging and optical trapping applications. The Barker sequence length determines the resulting axial irradiance distribution, enabling tailored optical control.

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    Area of Science:

    • Optics and Photonics
    • Microscopy
    • Optical Manipulation

    Background:

    • Achieving extended focal depth is crucial for various imaging and optical manipulation techniques.
    • Traditional methods often face limitations in controlling the axial light distribution.
    • Barker sequences offer a unique approach to modulate optical fields.

    Purpose of the Study:

    • To investigate the use of transparent concentric rings encoded with Barker sequences for extending focal depth.
    • To analyze the generated axial irradiance distribution for different Barker sequence lengths.
    • To demonstrate applications in both imaging and optical trapping.

    Main Methods:

    • Employing transparent concentric rings patterned with Barker sequences of length L.
    • Analyzing the optical field in the paraxial focal plane neighborhood.
    • Modulating the axial uniform distribution with sinusoidal variations.

    Main Results:

    • Extended focal depth is achieved when the Barker length L is congruent to 1 modulo 4, suitable for imaging.
    • A bottleneck irradiance distribution is generated when L is congruent to 3 modulo 4, ideal for optical trapping.
    • Sinusoidal variations modulate the axial uniform distribution.

    Conclusions:

    • Barker sequence-encoded masks provide a versatile method for controlling focal depth and axial irradiance.
    • The choice of Barker sequence length allows for distinct applications in microscopy and optical trapping.
    • This technique offers a novel approach to enhance optical system performance.