On Jan 13, 2007, at 4:37 PM, John Francis wrote:

> The MTF is a measure of the resolving power (or sharpness) of the  
> lens,
> and is dependent on aperture.

Not really.  MTF stands for Modulation Transfer Function.  This is an  
expression of how accurately a lens transmits modulation, which is  
not resolving power at all.  Think of it this way.  A lens is  
presented with a target consisting of alternating black and white  
bars of equal width.  This target is often on a drum which can be  
revolved.  At the image plane a photo sensor of some sort receives  
the image of the target as it turns.  A lens with perfect MTF would  
produce a square wave output from such a target.  But in reality the  
"corners" of the square wave are rounded off, tending toward a sine  
wave.  The less rounding, the higher the MTF point on the graph.   
Generally a number of points on the image plane, from center to  
corner, are tested and the points connected to make a curve.  That's  
the MTF curve at that aperture.  The higher up on the graph, the  
better.  A perfect MTF, which is impossible for many reasons, would  
be a horizontal line across the top of the MTF chart.

MTF tests are usually done at several apertures and may be done at a  
variety of spatial frequencies.  The above explanation is slightly  
simplified.

Some lens designers heavily favor MTF results when designing lenses.   
Others don't pay as much attention to them and consider resolution  
and contrast independently.  MTF actually combines both into one  
measurement.

Bob

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