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Off-axis reflective imaging system design with a conicoid-based freeform surface.

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    This study introduces a new method for designing off-axis reflective optical systems using conicoid-based freeform surfaces. This approach simplifies optical design and optimization for complex systems.

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    Area of Science:

    • Optics and Optical Engineering
    • Freeform Optics Design
    • Reflective System Design

    Background:

    • Designing off-axis reflective optical systems presents challenges due to complex surface descriptions and calculations.
    • Conventional methods using conic expressions can involve complicated decenter and tilt calculations.
    • Representing mild freeform surfaces often requires numerous coefficients.

    Purpose of the Study:

    • To propose a novel off-axis reflective system design method.
    • To simplify the system modeling and optimization process for freeform optics.
    • To reduce the number of coefficients needed for mild freeform surfaces.

    Main Methods:

    • Utilizing a non-rotational symmetric conicoid-based freeform (CBF) surface description.
    • Implementing an automatic initial system searching strategy.
    • Employing a two-stage optimization: preliminary with rotationally symmetric deviation and fine-tuning with non-symmetric deviation.

    Main Results:

    • The proposed CBF surface description simplifies system modeling and optimization.
    • The method reduces the coefficient count for mild freeform surfaces.
    • Two three-mirror systems were successfully designed, demonstrating feasibility.

    Conclusions:

    • The proposed off-axis reflective system design method based on CBF surfaces is effective.
    • This approach simplifies the design process and reduces complexity.
    • The method offers a convenient and efficient solution for designing complex optical systems.