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Analytic ray tracing model and MATLAB code for GRIN rod lens imaging probe design.

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    This study introduces a free MATLAB simulation for gradient index (GRIN) lenses, crucial for miniaturized imaging probes. The code accurately predicts working distances, offering a cost-effective alternative for researchers.

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    Area of Science:

    • Biophotonics
    • Optical Engineering
    • Miniaturized Imaging Systems

    Background:

    • Accurate working distance is essential for gradient index (GRIN) rod lens-based miniaturized imaging probes in biophotonics.
    • Commercial optical design software is often expensive and difficult for new users.
    • Reliance on manufacturer data for GRIN lens specifications can be time-consuming.

    Purpose of the Study:

    • To develop a simple, cost-effective MATLAB-based simulation code for GRIN lens design.
    • To provide an accessible tool for researchers lacking access to commercial software.
    • To accurately model the working distance of GRIN lenses in miniaturized imaging probes.

    Main Methods:

    • Developed a MATLAB code based on a ray tracing model.
    • The model utilizes the deterministic trajectory of optical rays defined by boundary conditions.
    • Evaluated the model using a standard optical fiber and GRIN lens configuration.

    Main Results:

    • The simulation code accurately predicts the working distance of GRIN lenses.
    • Results closely matched those from commercial software for paraxial approximations.
    • The model provides a practical and reliable alternative for GRIN lens specification.

    Conclusions:

    • The developed MATLAB code offers a valuable, accessible tool for GRIN lens analysis.
    • This simulation facilitates research in miniaturized imaging probes by overcoming software cost and complexity barriers.
    • Researchers can now determine GRIN lens specifications more efficiently and independently.