4
mean optical magnification can be obtained with sufficient
accuracy from the distortion diagram described by a corres
ponding rotation of the coordinate system.
Demands placed on a photogrammetrie camera lens system for
the least possible distortion mostly imply the conception that
in this c^se the object-side and image-side cones of rays should
be congruent within the accepted tolerance. This constraint,
however, is unnecessary. Let us, generally, denote the angles
of incidence of a principal ray relative to the optic axis by
^and their corresponding angles in the image space by ^. If
we put the condition
tan
tan IT
k - constant,
(4)
the image distance from the principal point H* in the image
plane to a particular image point will become
s* •» c • k • tan T *. ( 5 )
It can be seen that congruent cones of rays in the object
and image spaces constitute a special case only of this gene
ral relationship, with k = 1. The absence of the necessity
to have both cones of rays congruent is very significant
for extremely wide-angle photogrammetric photolenses. In
this case, too, the optical designer is enabled to provide
for the imaging rays to strike the photographic emulsion at
the smallest possible angle to the perpendicular of incidence.
Distortions as defined in the preceding two chapters can be
determined only for an agreed wavelength of the light used
for imaging. It may differ appreciably in other wavelength
ranges (e.g. in the frequently used near infrared), depending
on the 3sns design.