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Formulas and Guidelines

The information on this page 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 field 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, and camera/monitor combinations develop magnification between themselves.

Magnification at the camera

All cameras have a fixed sensor size. This means that no matter how large the image is at the sensor plane, the camera well 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 the 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.

Consider this example:

A 1/2’’camera is being used with a 17’’ monitor. the 8mm diagonal of the camera will expand to 17’’(431.8mm) for a magnification of 54x.

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:(3,000 x N. A.)/mm

Inches:(75,000 x N. A.)/inches

Depth of Field

Millimeters: .0005/N. A.2

Inches: .00002/N. A.2

Conversion Factors

1 Inches = 25.4 Millimeters

1 Meter = 39.37 Inches

1Micron = 0.001 Millimeters

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 at which the image is in focus.

Field of View

the area visible through a lens or a 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.

Object to Image Distance (O-I)

The total distance from the object to the sensor inside the camera.

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.

 

 

CCD Size

Monitor Size (Diagonal)

8’’

10’’

15’’

17’’

19’’

21’’

1/4’’ CCD

4.0

50.8x

63.5x

95.3x

108x

120.7x

133.4x

1/3’’ CCD

6.0

33.9x

42.3x

63.5x

72x

80.4x

88.9x

1/2’’ CCD

8.0

25.4x

31.8x

47.6x

54x

60.3x

66.7x

2/3’’ CCD

11.0

18.5x

23.1x

34.6x

39.3x

43.9x

48.5x

1’’ CCD

16.0

12.7x

15.9x

23.8x

27x

80.4x

33.3x

 

 

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