## Reflective OpticsThis is the first book dedicated exclusively to all-reflective imaging systems. It is a teaching tool as well as a practical design tool for anyone who specializes in optics, particularly for those interested in telescopes, infrared, and grazing-incidence systems. The first part of the book describes a unified geometric optical theory of all-reflective imaging systems (from near-normal to grazing incidence) developed from basic principles. The second part discusses correction methods and a multitude of closed-form solutions of well-corrected systems, supplemented with many conventional and unconventional designs examples. This book will be useful to anyone interested in the theory of optical image formation and in the actual design of image-forming instruments. |

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### Contents

1 | |

7 | |

Chapter Three FirstOrder Optics | 35 |

Chapter Four Aberrations of Conic Reflectors | 63 |

Chapter Five ThirdOrder Optics | 85 |

Chapter Six The Seidel Aberrations | 105 |

Chapter Seven ThirdOrder Correction of a OneMirror System | 137 |

Chapter Eight ThirdOrder Correction of TwoMirror Systems | 151 |

Chapter Nine ThirdOrder Correction of ThreeMirror Systems | 207 |

Chapter Ten ThirdOrder Correction of Multimirror Systems | 261 |

Chapter Eleven Aberration Theory for GrazingIncidence Systems | 269 |

Chapter Twelve Stigmatic and Aplanatic Systems | 303 |

355 | |

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### Common terms and phrases

aberration and coma aberration coefﬁcients aberration components Absence of Spherical according to Eq anastigmatic angular apo-vertex aspheric deformation constant astigmatism axial Cartesian deviation Cartesian surface coeﬂicients collimated Condition for Aplanatism conﬁgurations conic sections corrective mirror corrector D-term deﬁned ELLIPSOID entrance-pupil distance equal to zero exit-pupil ﬁeld curvature ﬁnal image ﬁnd ﬁrst focal length focusing telescope Gaussian image plane geometric given by Eqs HYPERBOLOID image point image-scale factor inﬁnite input parameters located magniﬁcation marginal ray object and image object coordinates object point obtained by setting obtained from Eqs optical axis paraboloid Petzval primary principal ray ray coordinates Ray traces ray-height ratio real ﬁnal images reﬂection reﬂector represents sections of revolution Seidel aberrations shown in Fig sine condition slope equation spherical aberration spherical mirror surface coordinates surface equation surface normal surface vertex system parameters three-mirror system two-mirror system two-mirror telescope vertex curvature yielding zero ﬁeld curvature