Geometrical theory of aberrations near the axis in classical off-axis reflecting telescopes

Physics – Optics

Scientific paper

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Mirrors, Geometrical Optics, Aberrations, Astronomical Telescopes, Aberration Theory, Telescopes, Astronomical Optics

Scientific paper

A geometrical theory of aberrations for the vicinity of the focus of arbitrary off-axis sections of conic mirrors is derived. It is shown that an off-axis conic mirror introduces linear astigmatism in the image. However, in classical two-mirror telescopes this aberration can be eliminated by tilting the secondary parent mirror axis. It is also shown that the practical geometrical-optics performance of a classical off-axis two-mirror telescope with no linear astigmatism is equivalent to the performance of an on-axis system, proving that both systems have identical third-order coma. To demonstrate the applicability of the theory developed in a practical system, a fast (i.e., f-2), compact, obstruction-free classical off-axis Cassegrain telescope is designed.

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