Recursive relations for ray-tracing through three-dimensional reflective confocal prolate spheroids.

Physics – Optics

Scientific paper

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Telescopes: Optical Design

Scientific paper

Modern, large telescopes incorporate segmented primary mirrors, with off-axis spheroidal shapes. Each off-axis mirror and the secondary mirror represent an off-axis optical system without an axis of symmetry and for which the paraxial optics does not apply. Simple, recursive ray-trace equations are presented that describe exactly a ray propagating through a series of coupled, confocal, prolate spheroids. Vector formulation using the ray direction cosines is employed for characterizing the ray propagation in different planes through the spheroid axis of symmetry.

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