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    Area of Science:

    • Optics and Photonics
    • Optical Engineering

    Background:

    • Traditional zoom systems often require complex mechanical compensation for optical power adjustments.
    • Achieving variable magnification with a fixed object plane presents design challenges.

    Purpose of the Study:

    • To present a Gaussian design for a two-conjugate zoom system.
    • To develop a system that operates without mechanical compensation.
    • To specify optical powers and equivalent power as functions of magnification.

    Main Methods:

    • The system operates in two stages: pupil imaging to form conjugate planes, followed by inversion of these planes.
    • Two varifocal lenses with fixed interlens separation and zero-throw are employed.
    • Optical powers of elements and equivalent power are derived based on variable magnification.

    Main Results:

    • A functional two-conjugate zoom system design is presented.
    • The system successfully generates a tunable magnified virtual image at a fixed object plane.
    • Formulas for optical powers and equivalent power as functions of magnification are derived.

    Conclusions:

    • The proposed Gaussian design offers a mechanically uncompensated solution for two-conjugate zoom systems.
    • This design enables tunable magnification with simplified optical configurations.
    • The derived power functions provide a basis for practical implementation and further optimization.