Page:Harold Dennis Taylor - A System of Applied Optics.djvu/12

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viii
A SYSTEM OF APPLIED OPTICS
FORMULA PAGE
VII. Same as above in Primary Planes 127
VIII. Variation in Secondary Normal Curvature Error due to Variation of µ, when ρ is constant 129
IX. Variation in Primary Normal Curvature Error due to Variation of µ, when ρ is constant 129
X. Variation in Secondary Normal Curvature Error due to Variation of µ, when f is constant 129
XI. Variation in Primary Normal Curvature Error due to Variation of µ, when f is constant 130
XII. Normal Curvature Error of Spherical Reflector in Primary Planes 133
(24i). Exact Formula for above for Infinitely Narrow Pencils 135
(24j).
SECTION VI

Eccentric Oblique Refraction of Pencils through Thin Lenses or Elements

I. The Spherical Aberration of all Pencils passing through a Stop of Semi-Aperture S 142
II. The Spherical Aberration E.C. in Secondary Planes, in terms of D and U 142
III. The Comatic E.C. in Secondary Planes, in terms of D and U 142
IV. The Spherical Aberration E.C. in Primary Planes, in terms of D and U 147
V. The Comatic E.C. in Primary Planes, in terms of D and U 148
VI. The Spherical Aberration E.C. in Secondary Planes, in Final Self-Interpreting Form 149
VII. The Comatic E.C. in Primary Planes, in Final Self-Interpreting Form 150
VIII. The Complete Formula, including both Spherical Aberration E.C. and Comatic E.C., in Primary Planes 150
VIIIa. and b. Coddington's Formula for E.C.S in Secondary Planes 151
VIIIc. Condition of Elimination of E.C.s 163
VIIId. Above in Quadratic Form 153
IX. Differential of the E.C.s with respect to α 154
X. Differential of the E.C.S with respect to β 154
XI. Differential of the E.C.s with respect to 154