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Figures (9)

Fig. 1
Fig. 1

Faulty prism and equivalent wedge.

Fig. 2
Fig. 2

Incident cone of rays.

Fig. 3
Fig. 3

Spherical diagram of wedge.

Fig. 4
Fig. 4

Deviation error and residual. Actual error QQ′. Residual error SQ′.

Fig. 5
Fig. 5

Ellipse of deviation error. X=D1 · cos ϕ; Y=D1·cos I · sin ϕ.

Fig. 6
Fig. 6

Diagram for rays in principal section of prism afflicted with dihedral angle error.

Fig. 7
Fig. 7

Diagram for rays in principal section of prism afflicted with pyramid error.

Fig. 8
Fig. 8

Variation of residual errors with angle of incidence for a ten-minute wedge of index of refraction 1.617.

Fig. 9
Fig. 9

Diagram for rays inclined to principal section of prism.

Equations (13)

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a ( n - 1 ) ,
Angle Q P Q = a ( n · cos I - cos I ) / cos I .
Deviation error Q Q = Angle Q P Q ( 1 - sin 2 I · sin 2 ϕ ) 1 2 .
Maximum deviation error = a ( n · cos I - cos I ) / cos I .
Minimum deviation error = a ( n · cos I - cos I ) .
a · n ( cos I - cos I ) / cos I ,
a · n ( cos I - cos I ) .
parallel component = [ a · n ( cos I - cos I ) / cos I ] cos ϕ ,
perpendicular component = [ a · n ( cos I - cos I ) ] sin ϕ .
a [ ( 1 - cos I ) - n ( 1 - cos I ) ] .
cos I = cos F · cos θ ,
cos ϕ 1 = cos F · sin θ ( 1 - cos 2 F · cos 2 θ ) - 1 2 ,
sin ϕ 2 = cos F · sin θ ( 1 - cos 2 F · cos 2 θ ) - 1 2 ,