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    This study introduces gradient-index (GRIN) elements to stretch and translate images in optical systems. This method uses GRIN material properties to achieve flexible image manipulation without altering system structure.

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    Area of Science:

    • Optical Engineering
    • Materials Science

    Background:

    • Traditional lens systems have limitations in image manipulation.
    • Achieving image stretching and translation often requires complex optical setups.

    Purpose of the Study:

    • To propose a novel method for image stretching and translation using gradient-index (GRIN) elements.
    • To demonstrate the feasibility of manipulating image position and magnification flexibly.

    Main Methods:

    • Utilizing GRIN material properties to break rotational symmetry for image translation.
    • Introducing anamorphic and tilting terms into the GRIN expression.
    • Employing GRIN elements before the system for stretching and after for translation.

    Main Results:

    • Image stretching by 1.33 times in one direction was achieved.
    • Transverse image displacement was successfully demonstrated.
    • The proposed method allows image manipulation without changing the underlying optical system structure.

    Conclusions:

    • The proposed approach enables novel GRIN lens system designs.
    • This method offers flexible image positioning and potential for special optical functions.