| The information which follows is a
compilation of basics intended to assist you in selecting the best optical components and
systems for your specific applications.
Points of Magnification
- As numerical aperture increases, depth of focus
decreases and resolution increases.
- As magnification increases, field of view
decreases.
- As magnification increases, more light may be
needed.
- Magnification is developed in two ways -
different lenses create different magnifications at the camera or camera and monitor
combinations develop magnification between themselves.
Magnification at Camera
All cameras have a fixed sensor size. This means that no matter how
large the image is at the sensor plane, the camera will only "look at" the
portion of the subject equal to the sensor size. What the camera "sees" is
called the field of view. The lens, or lens system, of the camera controls the
magnification at the camera sensor. The lower this magnification, the larger the field of
view.
Magnification at Monitor
When the camera image is displayed on a monitor for viewing, there is
further magnification. The diagonal of the camera sensor is expanded to the diagonal of
the monitor. See the Zoom Matrix for the 12X Zoom System.
Consider this example: A 1/2" camera is
being used with a 13" monitor. The 8mm diagonal of the camera will expand to 13"
(330.2mm) for a magnification of 41.3X.
Camera
Format |
Monitor
Size (diagonal) |
| 9" |
12" |
13" |
20" |
27" |
| 1/4" |
57.2X |
76.2X |
82.6X |
127X |
171.5X |
| 1/3" |
31.8X |
50.7X |
55.0X |
84.6X |
114.1X |
| 1/2" |
28.6X |
38.1X |
41.3X |
63.5X |
85.7X |
| 2/3" |
20.8X |
27.7X |
30.0X |
46.2X |
62.3X |

In practice, the camera is actually overextended
in order to overfill the monitor and prevent dark edges.There is no recognized industry
standard, however, a 5-10% increase in magnification resulting in a 5-10% loss in field of
view can be assumed.
Useful Formulas
| Resolution
in Line Pairs |
| Millimeters |
(3000 x N.A.)/mm |
| Inches |
(75,000 x N.A.)/in |
| Depth of
Field |
| Millimeters |
+/- .0005/N.A.2 |
| Inches |
+/- .00002/N.A.2 |
|
Conversion Factors |
|
1 Inch |
25.4 mm |
|
1 Meter |
39.37 in |
|
1 Micron |
0.001 mm |
Definition of Terms
Depth of Field
- The distance allowing acceptable image definition to be
maintained without refocusing.
Depth of Focus
- The distance along the optical axis over which the image
is in focus.
Field of View - The area visible through a lens or lens system.
Magnification - A measure of the apparent differences in size between
the object and the image.
Numerical Aperture -The largest cone or number of light rays that can enter
a lens system
Resolution
- The ability of a lens system to image closely spaced
points, lines, and object surfaces as separate entities.
Working Distance - The clearance or distance between the object and the
first surface of a lens system. Affects the users ability to image and manipulate the
sample at the same time.
Object to Image Distance
(O-I) - The total distance from the
object to the sensor inside the camera.
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