ASTM E1165 is intended to measure the size of focal spots of industrial X-ray tubes with an estimated focal spot size larger than 50µm. It was first published in 1987 from ASTM Committee E-7 in Subcommittee E07.01. There was a major update in 2012 when
- the pin hole method was aligned to EN 12543-2 with a similar pinhole method but still film-based
- a new method for digital evaluation was introduced (ILP-Integrated Line Profiles)
- a table for focal spot classes introduced (Table 3)
- annex A1 with an alternate focal spot measurement method for end users is included that end users can measure the unsharpness due to the focal spot with a simple hole penetrameter
- a test report in accordance with ASTM E691 was done to give a Precision and Bias statement.
For taking the image a pinhole camera is required. There are strong requirements to the pinhole ...
... and it's sizes:
Up to a focal spot size of 300µm the smallest pinhole diameter of 10µm is required. From >300µm to 800µm a 30µm pinhole diameter shall be taken and for larger focal spots a 100µm pinhole is sufficient.
The next requirement is the minimum magnification; it is given in table 2 based on the Focus Detector Distance of 1m to
Up to a 2mm focal spot the magnification is 3 and the distance between focal spot and pinhole shall be 25cm. The 1m FDD shall be used if possible. Sometimes the cabinett where is tube is installed does not allow 1m distance between focal spot and detector; a footnote opens the door to smaller distances:
When using a technique that entails the use of enlargement factors and a 1 m focal spot to detector distance (FDD = m+n) is not possible, the distance between the focal spot and the pinhole (m) shall be adjusted to suit the actual focal spot to detector distance (FDD) used
(for example, if a 600 mm FDD is used, m shall be 150 mm for 3:1 enlargement, 300 mm for 1:1 enlargement, and the like).For the digital image there are some more requirements:
(a) SNR in digital image: 50
(b) pixel value of focal spot maximum: >30% and <90% of max pixel value
(c) grey value resolution: 12 Bit and more (>4095 shades of grey)
(d) coverage of focal spot in digital image: more than 20 pixel (
more than 40 pixel when using a 3x3 median filter for outliners)
(e) basic spatial resolution of the detector (SRb) shall be half of the pinhole diameter multiplied with the magnification v = 1+n/m
(f) maximum unsharpness due to the pinhole is
U
g = P(1+n/m)
definitions of P, m and n in the tables aboveWith the requirements (d), (e), and (f) we get some interesting results from the physics concerning the required SRb of the detector and the deviation due to unsharpness of the system (pinhole, geometry, and detector)
An example for a 250µm focal spot size using the 10µm pinhole: The deviation due to the unsharpness of the system is 19µm which is 8%. This is a quite good value and within the tolerance of the focal spot fabrication process. The only limitation will be the requirement of 20µm for the spatial resolution of the detector: SRb<20µm. But already for the 320µm focal spot the 30µm pinhole shall be used; now the requirement to the SRb is much lower (1/2 of the Pinhole diameter) and with this value the deviation due to the unsharpness of the system increases to 15% (hint: all values above 10% are marked with red color in the table).
With smaller focal spots the higher requirements results from the 20 pixel on the focal spot; to fulfill this requirement for a 100µm focal spot a SRb of 12µm would be required - but there is no detector like this avaliable for reasonable money
.
The requirement to the SRb of the detector is nearly double as high if you have to use a Median filter to eleminate outliners or peaks in the image.
When we spend some time and look at the formulas, we could see a way out of this limitations. The example of a 1mm focal spot with magnification 4 (= n/m+1) and a 30µm pinhole will help us to understand the limitations.
For a focal spot of Class FS7 (1000µm) a pinhole with 100µm diameter and a geometry with n/m=3 would be required. As this would lead to a deviation of 16% we decide to take a 30µm pinhole and get a projected unsharpness U
gp of the pinhole of
U
gp = P*v = P*(n/m+1)
of 120µm. The total projected unsharpness U
T,proj is the square root of the quare values of projected unsharpness from the pinhole and spatial resolution of the detector:
which is 170µm, which we had to devide the factor n/m to get the unsharpness of the image U
Im which is 57µm or 5.7%
For the focal spots around 1mm we decrease the deviation with the smaller pinhole. If we require the 30µm pinhole also for the 1000µm and 1270µm focal spots we could reduce the deviation below 10%.
But for smaller focal spots than 320µm there is no option for smaller pinholes as 10µm is the minimum which could be manufactured. On the other hand we know that there are no detectors with better SRb as 20µm. In the formular we could see that the influence of the detector resolution will be reduced with higher magnifications. If we double the factor n/m of 3:1 to 6:1 we could bring the 160µm focal spot into the 10% limit of deviation due to the system unsharpness. Additional we should improve the detector unsharpness to 25µm and we end up with a deviation of 14µm (9%).
This changes in the requirements to the different focal spot classes improve the accuracy of the pinhole method for several focal spot classes:
The yellow boxes show the changes to the table above.
As nearly nobody would buy a separate detector for each focal spot class a good standard detector could be selected. The Kowospot focal spot camera uses a DDA with 20µm pixel size and a basic spatial resolution of 25µm. If you always use this detector you can extend the range of focal spot classes with a deviation <10% to nearly all classes above FS16 (127µm) - if you use the 10µm pinhole for the classes FS11 and FS12, too.
There is one drawback of the larger magnification (n/m): You would need more space. Therefore the elements of 25cm can be reduced to 15cm each and now even a n/m = 6:1 focal spot camera would need just a little bit more than 1m (105cm) and should fit into the most cabinets.
If you do not like deviations of much more than 10% you should not use the pinhole method for focal spots of <100µm. Try the
instead.
(Hint: EN12543-2 is intended for focal spots larger than 200µm
)