Abstract

A reflecting sphere is useful for analyzing illumination and aligning illuminators.

© 1985 Optical Society of America

Full Article  |  PDF Article

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (8)

Fig. 1
Fig. 1

Light from all directions reflected by a sphere into any given direction.

Fig. 2
Fig. 2

Sphere in the object plane, reflecting light from all directions into the imaging lens.

Fig. 3
Fig. 3

Illumination angle and projected radius.

Fig. 4
Fig. 4

Astigmatic focal surfaces.

Fig. 5
Fig. 5

Rear diffuse illumination.

Fig. 6
Fig. 6

Transmitted light Koehler illumination.

Fig. 7
Fig. 7

Imaging the aperture stop of the imaging lens in the sphere.

Fig. 8
Fig. 8

Ball bearing mounting for use in reflected light.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

r = b sin ( ψ / 2 ) .
f sag = b 2 1 cos ( ψ / 2 ) = b 2 1 1 ( r / b ) 2 ,
f tang = b 2 cos ( ψ / 2 ) = b 2 1 ( r / b ) 2 .
h sag = b 2 cos ( ψ / 2 ) = b 2 1 ( r / b ) 2 ) ,
h tang = b 2 cos ( ψ ) cos ( ψ / 2 ) = b 2 1 2 ( r / b ) 2 1 ( r / b ) 2 .

Metrics