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Single freeform surface imaging design with unconstrained object to image mapping.

Jiayao Liu, Pablo Benítez, Juan C Miñano

    Optics Express
    |January 22, 2015
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a novel freeform optical surface design free of third-order astigmatism. This imaging design approach offers a starting point for optical system optimization, demonstrated with a Head Mounted Display (HMD).

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    Area of Science:

    • Optical engineering
    • Freeform optics design

    Background:

    • Third-order astigmatism is a common aberration in optical systems.
    • Freeform optics offer design flexibility but can be challenging to design without aberrations.

    Purpose of the Study:

    • To develop an imaging design approach for a single freeform optical surface that is free of third-order astigmatism.
    • To provide a starting point for optimization of optical systems using freeform surfaces.

    Main Methods:

    • Generalized ray tracing was used to derive a set of differential equations.
    • Solving these equations yields the anastigmatic freeform optical surface, image surface, and object-to-image mapping.

    Main Results:

    • A reflective freeform surface was designed for a Head Mounted Display (HMD).
    • The designed HMD system features a 3 mm pupil, 15 mm eye clearance, and a 24-degree diagonal field of view.
    • The final design achieved an average Modulation Transfer Function (MTF) of 62.6% across 17 field points.

    Conclusions:

    • The presented design method successfully eliminates third-order astigmatism in a freeform optical surface.
    • The developed approach is suitable for designing optical systems like Head Mounted Displays, offering good image quality.