Page:Harold Dennis Taylor - A System of Applied Optics.djvu/13

From Wikisource
Jump to navigation Jump to search
This page has been proofread, but needs to be validated.
CONTENTS
ix
SECTION VII

On Systems of Lenses and the Application of the Theorem of Elements to Thick Lenses

FORMULA PAGE
XII. Simple Lens. Eadius of Curvature of Secondary Image when Primary Image is Flat 155
XIIa. Simple Lens. Curvature Error of the Anastigmatic Image 156
XIII. Condition necessary to the attainment of a Flat Anastigmatic Image 156
XIIIa. The Petzval Theorem 157
XIV. The Petzval Formula for the Reciprocal of the Eadius of Curvature of the Anastigmatic Image 158
66 and 67. Radii of Images formed by Central Oblique Refraction through Lens fulfilling Petzval Condition 159
XV. Compound Lens. Reciprocal of the Radius of Curvature of the Secondary Image when the Primary Image is Flat 168
XVI. Compound Lens. Reciprocal of the Radius of Curvature of either Secondary or Primary Image when Mean Image is Flat 169
XVII. E.F.L. of a Triplet Lens showing Increment to Power due to Separations 169
XVIIIa. Aberration and Curvature Error due to Oblique Refraction through a Parallel Plane Plate 177
XVIII. (R.) Do., expressed in terms of and 177
XIX. (L.) Linear Value of Curvature Error due to Oblique Refraction through a Parallel Plane Plate 180
XX. E.C. or Curvature Correction due to Eccentric Reflection from Spherical Mirror 189
SECTION VIII

Coma and the Sine Condition—Von Seidel's Second Condition—Central Oblique Refaction

I. The Length of the Comatic Flare in Primary Plane 195
II. The Angular Value of the Coma in Primary Plane, as subtended at Lens Centre 197
III. The Angular Value of the Interval between Oblique Central Ray and the Focus for the Two Rays in Secondary Plane 198
IV. Linear Diameter of the Coma in the Secondary Plane 200
V. General Proof. Linear E.C. in the Secondary Plane 213
VI. General Proof. Linear E.C. in the Primary Plane 214
VII. Condition of Elimination of Coma from a Double Objective 216