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Aplanatic two-mirror telescopes: a systematic study. 1: cassegrainian configuration.

C L Wyman, D Korsch

    Applied Optics
    |February 6, 2010
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    Summary

    Performance analysis of aplanatic Cassegrain telescopes shows field angle depends mainly on back focal distance. Image curvature calculations from third-order theory and ray tracing closely align, aiding telescope design.

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    Area of Science:

    • Optical Engineering
    • Telescope Design
    • Astronomy Instrumentation

    Background:

    • Aplanatic Cassegrain telescopes are widely used in astronomical observations.
    • Understanding their performance is crucial for optimizing observational capabilities.
    • Previous analyses often lacked detailed systematic performance evaluations.

    Purpose of the Study:

    • To systematically analyze the performance of aplanatic Cassegrain telescopes.
    • To determine the key factors influencing the field angle and image curvature.
    • To validate theoretical calculations with detailed ray tracing simulations.

    Main Methods:

    • A ray trace program was employed for systematic performance analysis.
    • Third-order aberration theory was used for comparative calculations.
    • Image curvature was analyzed as a function of ray height ratio and secondary magnification.

    Main Results:

    • The available field angle is primarily a function of the relative back focal distance.
    • Ray tracing and third-order theory show close agreement in image curvature computations.
    • Image curvature variations were mapped across a range of secondary magnifications.

    Conclusions:

    • The relative back focal distance is a critical parameter for controlling the field angle in aplanatic Cassegrain telescopes.
    • Third-order theory provides a reliable approximation for image curvature in these systems.
    • The findings facilitate improved design and performance prediction for Cassegrain telescopes.