Luke's variational principle: Difference between revisions

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'''Optical format''' is a hypothetical measurement approximately 50% larger than the true diagonal size of a solid state photo sensor .  The use of the optical format means that a lens used with a particular size sensor will have approximately the same angle of view as if it were to be used with an equivalent sized [[vidicon|camera tube]] where the actual sensitive target is smaller than the overall size.


The optical format is approximately the diagonal length of the sensor multiplied by 3/2 <ref>http://www.dpreview.com/news/2002/10/7/sensorsizes (table of sensor sizes at bottom)</ref> <!-- To say divided by 16 to give a mm result although approximately valid is not technically correct.  It is a bad idea to mix units.--->  The result is expressed in inches  and is usually (but not always) rounded to a convenient fraction. For instance, a 6.4x4.8&nbsp;mm sensor has a diagonal of 8.0&nbsp;mm and therefore an optical format of 8.0*3/2 = 12&nbsp;mm, which is expressed to the convenient imperial fraction of 1/2 inch. The reason why it is expressed in inches is historical: a standard [[four thirds]] inch image sensor has an image area with a diagonal measurement of approximately {{convert|22|mm|inch}}. Therefore a 1&nbsp;inch sensor has approximately a 16&nbsp;mm diagonal, a 1/2&nbsp;inch sensor has approximately an 8&nbsp;mm diagonal, etc.


For larger systems the size is usually given as the true rectangular dimensions of the imaging sensor in millimeters, such as 36 x 24&nbsp;mm in the case of [[35 mm film]] sized sensors.
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Many image device sheets don't list the actual optical format, but do list the size of their pixels in terms of micrometers, a more helpful equation is to convert the pixel size, and array size, directly to optical format. The equation for this is:
 
: <math>OF = \frac {p \sqrt {w^2+h^2}} {16000}</math>
 
with:
* w = width of array (in pixels)
* h = height of array (in pixels)
* p = pixel size (micrometers)
 
==References==
 
{{reflist}}
 
[[Category:Optics]]
 
 
{{optics-stub}}

Latest revision as of 13:12, 5 May 2014


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