Page:Harold Dennis Taylor - A System of Applied Optics.djvu/11

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CONTENTS
vii
FORMULA PAGE
XXIII.(R.) Thin Lens or Element. Spherical Aberration of Second Order expressed in Coddington's Notation 67
XXIV.(R.) Spherical Aberration of Third Order expressed in Coddington's Notation 67
XXV.(R.) Aberration of a Parallel Plane Plate 79
XXVI. Aberration of First Element of a Thick Lens, including Versine Correction of the Order Y4 88
XXVII. Aberration of Second Element of a Thick Lens, including Versine Correction of the Order Y4 89
XXVIII. Value of for Second Lens or Element of a Series, including Variation of Y2 due to Aberration of L1 92
XXVIIla. Aberration of Second Lens or Element of a Series, including that of the Order Y24 due to Aberration of L1 92
XXVIIIb. Aberration of Third Lens or Element of a Series, including that of the Order Y34 due to Aberrations of L1 and L2 93
XXVIIIc. Aberration of Fourth Lens or Element of a Series, including that of the Order Y44 due to Aberrations of L1, L2, and L3 93
XXIX. Variation in the Aberration of Second Lens or Element of a Series due to Variation in consequent upon Aberration of L1 95
(27) to (31). Hybrid Spherical Aberrations 96 and 97
XXX. Differential of the Spherical Aberration with respect to 110
XXXI. Differential of the Spherical Aberration with respect to 110
XXXII. Linear Diameter of the Least Circle of Confusion 110
XXXIII. Angular Diameter of above, subtended at Lens Centre 110
XXXIV.(R.) Spherical Aberration of a Spherical Reflector 113
SECTION V

Central Oblique Refraction of Pencils Through Thin Lenses or Elements

I. Normal Curvature Errors of a Thin Lens in Secondary Planes, in detail 120
II.(R.) Spherical Aberration of Direct or Oblique Pencils refracted through a Thin Lens 120
III.(R.) Normal Curvature Error for a Thin Lens or Element in Secondary Planes 120
IV.(R.) Same as Formula II. (R.) 124
V.(R.) Normal Curvature Error for a Thin Lens or Element in Primary Planes 124
VI. Exact Formula for Curvature Errors of a Thin Lens or Element for Infinitely Narrow Pencils, Secondary Planes 127