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References

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  1. Conrady’s Applied Optics (Oxford Press, Oxford, 1929).
  2. Subscript pr is used to designate quantities related to the oblique principal ray.
  3. CC′and AC′ are the sagittal coma and astigmatism if not subscript with a T.
  4. The use of a highly dispersive correction plate to reduce residual chromatic errors and particularly lateral color was first suggested to me by Dr. Brian O’Brien. This principle can be used in a number of optical instruments (wide angle eyepieces, for example).

Conrady,

Conrady’s Applied Optics (Oxford Press, Oxford, 1929).

Other (4)

Conrady’s Applied Optics (Oxford Press, Oxford, 1929).

Subscript pr is used to designate quantities related to the oblique principal ray.

CC′and AC′ are the sagittal coma and astigmatism if not subscript with a T.

The use of a highly dispersive correction plate to reduce residual chromatic errors and particularly lateral color was first suggested to me by Dr. Brian O’Brien. This principle can be used in a number of optical instruments (wide angle eyepieces, for example).

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Figures (4)

Fig. 1
Fig. 1

Diagram illustrating ray tracing data.

Fig. 2(a)
Fig. 2(a)

Photograph through magnifier without aspheric.

Fig. 2(b)
Fig. 2(b)

Photograph through magnifier with aspheric.

Fig. 3
Fig. 3

Variation of TA and Coma with bending. TA and Coma shown are total from lens and aspheric. At each bending the aspheric is adjusted to correct for distortion and astigmatism.

Tables (1)

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Table I Calculation page for third-order aberrations.

Equations (16)

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( n u ) k = ( n u ) k + ( n n ) k y k c k ,
y k + 1 = y k ( n u ) k t k , k + 1 / n k .
f = y 1 / u 0 ,
l 0 = y 0 / u 0 ,
T A C = y g 4 r ( n i ) 2 ( n u / n n i / n ) / 2 u 0 n 0 ,
n i = ( n y c n u ) and g 4 = n n / r n n .
n l g = ( y 0 l 0 u 0 ) p r . 2
n l g = f u 1 p r .
ρ = ( n i ) p r / ( n i ) .
C C = T A C ρ ,
A C = C C ρ / u 0 ,
D C = C C ρ 2 1 2 h 2 ρ g 4 u 0 ,
g 4 = ( n n ) c / n n . ( Petzval curvature ) .
C C = T A C ρ ¯ ,
A C = C C ρ ¯ / u 0 ,
D C = C C ρ ¯ 2 1 2 h 2 ρ ¯ g 4 u 0 .