## Reflecting Telescope Optics I: Basic Design Theory and Its Historical DevelopmentA corrected reprint of the ?rst edition appeared in 2000. It was a requirement that the pagination remain unaltered, but nevertheless, apart from minor and format corrections on 17 pages, a number of corrections or additions of substance could be incorporated. These included minor corrections to Figs. 1. 3 b) and 2. 8 and to the text of Fig. 5. 18. The most important change of all was probably the complete revision of the historical treatment of Cassegrain in the Portrait Gallery, due to the superb research of Baranne and Launay on his identity, published in 1997. Additions of substance were text on pages 21, 323 and 487 (Portrait Gallery – Mersenne) and corrections on pages 117 2 4 (y to y ), 174 (concerning the scale of Fig. 3. 37), 263 (Fig. 3. 96 instead of 3. 97 in the text), 341 (sign in the text equation below Eq. (4. 36)), Table 5. 2 (concerning UKIRT), Table A. 15 (?rst symbol), pages 505 (Ref. 3. 71) and 531 (Brown and Cassegrain). Several of these errors were pointed out by readers, to whom I express my gratitude. The present 2nd edition contains all the material of the ?rst edition, - changed apart from some further corrections, but with 25 pages more of - ditional explanations or new material, including 5 new ?gures (2 in Chap. 4, 2 in Chap. 5 and 1 following the Portrait Gallery). |

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### Contents

I | 1 |

III | 11 |

IV | 15 |

V | 21 |

VII | 23 |

VIII | 26 |

IX | 27 |

X | 36 |

XLI | 223 |

XLII | 255 |

XLIII | 261 |

XLIV | 279 |

XLV | 287 |

XLVI | 288 |

XLVII | 293 |

XLVIII | 297 |

XI | 40 |

XIII | 42 |

XIV | 54 |

XV | 55 |

XVI | 57 |

XVII | 59 |

XVIII | 63 |

XIX | 65 |

XX | 69 |

XXI | 71 |

XXIII | 77 |

XXIV | 82 |

XXV | 85 |

XXVI | 88 |

XXVII | 111 |

XXVIII | 126 |

XXIX | 128 |

XXX | 131 |

XXXI | 135 |

XXXII | 138 |

XXXIII | 139 |

XXXV | 140 |

XXXVI | 146 |

XXXVII | 148 |

XXXVIII | 151 |

XXXIX | 165 |

XL | 174 |

### Common terms and phrases

2-mirror telescope afocal anastigmatic angle angular aplanatic arcmin arcsec aspheric plate astigmatism axial axis basic beam Bouwers Cassegrain form Cassegrain telescope Chap chromatic aberration classical Cassegrain classical telescope concave condition correction corrector plate Couder decentering coma defined diffraction dispersion doublet corrector effect entrance pupil equations exit pupil f/no field coma field curvature focal length formulae function Gascoigne Gaussian Gaussian optics geometry given gives glass Korsch Lagrange Invariant lens lenses magnification Maksutov Maksutov telescope meniscus Mersenne mirror negative normal object obstruction optical system order spherical aberration parabolic primary paraboloid parameters paraxial prime focus principal ray radius ray trace RC telescope reflecting telescope reflector refracting refractor relative aperture Ritchey Schiefspiegler Schmidt-Cassegrain Schwarzschild secondary spectrum Seidel shown in Fig solution spherical aberration spherical primary spot-diagrams stop-shift suffix surface symbols for Chapter Table telescope optics term theory wavefront wavefront aberration wavelength Wynne zero