Figure of Merit (FOM): Difference between revisions

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FOM (Figure of Merit) is the product of the [[Resolution]] and the [[Signal-to-Noise Ratio (SNR)]]. It's dimensionless.  
Figure of Merit (FOM) is a dimensionless value that has been introduced as an arbitrary reference and shorthand overall performance grade of an [[Image Intensifier|image intensifier]].  


It was introduced as an arbitrary reference and shorthand overall performance grade for classes/groups of tubes and individual specimens to facilitate comparison and what performance can be expected.
It is calculated by the formula <math display="block">\mathrm{FOM} = \mathrm{Res.} \cdot \mathrm{SNR}</math> where <math display="inline">\mathrm{Res.}</math> is the [[resolution]] (in lp/mm) and <math>\mathrm{SNR}</math> is the [[Signal-to-Noise Ratio (SNR)|signal-to-noise-ratio]].  


A FOM number gives an indication of a tubes quality and usefulness but is not to be taken as a tell-all-end-all as a full spec sheet gives far more detailed insight as to a tubes performance albeit it might seem slightly more esoteric to people who are unfamiliar with interpreting a spec-sheet.
== Considerations ==
Due to the resolution being usually around 2-3x higher than the SNR it has a larger impact on the value, although some consider SNR the more important factor of the two.


In order to fairly judge a tubes FOM rating one should have some knowledge of the category to which a tube belongs as well as an average or minimum number for at least one of the factors involved in producing a FOM rating. If one knows that a particular category of tubes has a minimum SNR of 30 with average at 36 then going by FOM alone when considering an individual tube of that category is less arbitrary
The FOM is not to be taken as a tell-all-end-all as a full spec sheet gives far more detailed insight as to a tubes performance albeit it might seem slightly more esoteric to people who are unfamiliar with interpreting a spec-sheet.


=== Mathematic formula ===
In order to fairly judge a tubes FOM rating one should have some knowledge of the category to which a tube belongs as well as an average or minimum number for at least one of the factors involved in producing a FOM rating. If one knows that a particular category of tubes has a minimum SNR of 30 with average at 36 then going by FOM alone when considering an individual tube of that category is less arbitrary.
The formula is:


FOM=Resolution*Signal-to-noise ratio
=== Downsides ===


As Resolution and SNR are two important numbers  it is fair to say that a higher Figure of Merit is a fair indication of a particular tubes performance in general, but it is not possible to deduce from the number alone the individual number of either factor.
* The same FOM can be produced by a low SNR and high resolution and vice versa
* Other important specifications like [[gain]], [[sensitivity]], [[halo]], [[Modulation Transfer Function (MTF)|MTF]], ... are not taken into account


[[Category:Technology]]
[[Category:Technology]]

Latest revision as of 08:27, 25 April 2024

Figure of Merit (FOM) is a dimensionless value that has been introduced as an arbitrary reference and shorthand overall performance grade of an image intensifier.

It is calculated by the formula

where is the resolution (in lp/mm) and is the signal-to-noise-ratio.

Considerations[edit | edit source]

Due to the resolution being usually around 2-3x higher than the SNR it has a larger impact on the value, although some consider SNR the more important factor of the two.

The FOM is not to be taken as a tell-all-end-all as a full spec sheet gives far more detailed insight as to a tubes performance albeit it might seem slightly more esoteric to people who are unfamiliar with interpreting a spec-sheet.

In order to fairly judge a tubes FOM rating one should have some knowledge of the category to which a tube belongs as well as an average or minimum number for at least one of the factors involved in producing a FOM rating. If one knows that a particular category of tubes has a minimum SNR of 30 with average at 36 then going by FOM alone when considering an individual tube of that category is less arbitrary.

Downsides[edit | edit source]

  • The same FOM can be produced by a low SNR and high resolution and vice versa
  • Other important specifications like gain, sensitivity, halo, MTF, ... are not taken into account