Focal lengthof lens formula

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In order to select the correct focal length lens which is denoted in millimeters (i.e 25mm focal length), we need additional information on the camera sensor.  Camera sensors come in various “Image formats”.  The chart below indicates some common formats which relate to the sensor size.  The sensor size can be found on the actual sensor datasheets if not available in a given chart.

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In any industrial imaging application, we have the task of selecting several main components to solve the problem at hand.  The first being an industrial camera and second,  a lens to acquire the given image.  In many cases, our working distance of our lens is constrained and may have to mount the camera closer or further from the object plane.  Once set, this defines our working distance (WD) for the lens.  In addition, we have a given field of view (basically the dimension across the image) of the desired object.

You will find our lens calculator HERE.  Alternatively as select a camera, you will find an icon to the right which will automatically populate the calculator.  Below is a short video showing how to use this resource from the camera pages.

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For this exercise, we want to image an object that is 400mm from the front of the lens to the object and desire a field of view of 90mm.   We have selected a camera with the Sony Pregius CMOS IMX174 sensor.  This uses a 1/1.2″ format which measures 10.67mm x 8mm.   We have the following known values at this point:  Field of View (FOV)  =  90mm Working Distance (WD) = 400mm    Sensor Size = 10.67mm – We will calculate for a 90mm horizonal FOV, in turn use the horizontal sensor dimension The basic formula on how to calculate the lens focal length is as follows: FL = (Sensor size * WD) / FOV Using the values from our application,

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Magnification: The ratio of the height of an image ( h i ) to the height of an object ( h o ) is defined as the magnification of a lens. Also, magnification is ...

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Related Blogs:  Demystifying Lens Specifications Understanding Lens MTF Calculating Resolution for Machine vision Contact us to discuss your application and help make a recommendation!  1st Vision can provide a complete solution including lenses, cables and lighting.  www.1stvision.com   Ph:  978-474-0044

FL = ( 10.67mm * 400mm ) / 90mm  FL = 47.4mm Lenses are only available off the shelf in various focal lengths (i.e 25mm, 35mm, 50mm), so this calculate is theoretical and may need an iteration to adjust working distance. Alternatively, if your application can have a slightly smaller or larger FOV, the closest focal length lens to your calculation may be suitable. 1st Vision has made calculating your lens focal length a bit easier!  As in engineering, its good to know the background formulas, but in practicality, like to simplify life with tools