43 Spyder2 4k User’s Manual
03-032-10195-04 DALSA
• Some light sources age; over their life span they produce less light. This aging may
not be uniform—a light source may produce progressively less light in some areas of
the spectrum but not others.
Filters
CCD cameras are extremely responsive to infrared (IR) wavelengths of light. To prevent
infrared from distorting the images you scan, use a “hot mirror” or IR cutoff filter that
transmits visible wavelengths but does not transmit wavelengths over 750nm. Examples
are the Schneider Optics™ B+W 489, which includes a mounting ring, the CORION™ LS-
750, which does not include a mounting ring, and the CORION™ HR-750 series hot
mirror.
Lens Modeling
Any lens surrounded by air can be modeled for camera purposes using three primary
points: the first and second principal points and the second focal point. The primary
points for a lens should be available from the lens data sheet or from the lens
manufacturer. Primed quantities denote characteristics of the image side of the lens. That
is, h is the object height and h
′
is the image height.
The focal point is the point at which the image of an infinitely distant object is brought to
focus. The effective focal length (f
′
) is the distance from the second principal point to the
second focal point. The back focal length (BFL) is the distance from the image side of the
lens surface to the second focal point. The object distance (OD) is the distance from the first
principal point to the object.
Figure 6. Primary Points in a Lens System
Magnification and Resolution
The magnification of a lens is the ratio of the image size to the object size:
where m is the magnification, h’ is the image height (pixel size)
and h is the object height (desired object resolution size).
By similar triangles, the magnification is alternatively given by:
These equations can be combined to give their most useful form:
This is the governing equation for many object and image plane
parameters.
Example: An acquisition system has a 512 x 512 element, 10μm pixel pitch area scan
camera, a lens with an effective focal length of 45mm, and requires that 100μm in the
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