Slit Image Test

Slit Image Test
Overview	Computations	Setup
Baldwin On SIT		Contact

Overview

The Slit Image (CCD or film) Test (SIT) combines the best of the Caustic & LWT and avoids their difficulties:

The Caustic requires determining the Center of Curvature (COC) within 0.001". A difficult task (1 - page 223).
With the LWT (3) each zone needs to be measured mechanically to better than 0.0005". A difficult task unless the room temperature is closely controlled i.e., distance from the mirror to tester changes with temperature while the readings are being taken.

SIT employees a Caustic type mask, each mask hole returning an images of the testers slit, which by the way is visible in an eyepiece. But unlike the Caustic, all the mask holes are open allowing the capture of all the LWT measurements with one exposure.

In summary, SIT computes Foucaults and is a Fixed Source Caustic Lateral Wire Test as is Sixtests.exe which computes the mirrors profile.

Film Verses CCD

	For a digital SLR (lens removed), you need to know:
	Pixels per inch. Lens mounting to CCD spacing (4). Olympus E300 Evolt Lens mount to CCD: 38.8 mm Pixels/inch: 4771 Canon T2i EOS Rebel Lens mount to CCD: 44 mm Pixels/inch: 5905
	In 2002, while figuring a 12.5” f/4.6, I was flunking Foucault 101, and that begain my use of film to figure that mirror. It worked and is documented here. Of note is the use of Sixtests.exe used in the Caustic, Fixed Lateral Wire Test Mode to compute the mirrors Strehl and profile. The Caustic test was invented by R. Platzeck and Gaviola in 1939.
	For Film all you need to know is the DPI of the scanner
	The slit image whether film or CCD is processed exactly the same.


	NOTE: The Slit or CCD or both can be in front or aft of ROC. LWT experts recommend both in front, avoiding the confusion of which ray belongs to which hole (behind ROC the rays cross the optical axis). My setup has both aft of ROC because of the way the camera is attached to the tester. That forces both to be behind where the outer hole ray becomes the outer slit in the image.

Align tester to optical axis using the pre-aligned laser.
Position tester to fill CCD with the Slit image.
Upload the Slit image to the computer.

Slit Test Process - Foucault in 15 minutes (5 for imaging, 10 to process, repeatability +/- 0.001")

Using free ImageJ.

Narrow Slits by increasing contrast (Image->Adjust->Brightness/Contrast).
Analyze->Set Measurements-> [Check Center of Mass]
Analyze->Set Scale-> [Click to Remove Scale]
Compute Center of Mass. Select Slit, then control m
Also of note, Lonnie Robinson ( http://hourglass-telescope-mirrors.com ) is using a precision pinhole instead of the slit, and with imageJ Center of Mass function, getting repetable results to a thouands of a pixel.

However for ImageJ to accurately compute the Center of Mass, the image must to be properly exposed. The proper exposure of the image can be verified by examining the image's histogram either in the camera or in ImageJ. Analyze->Histogram in ImageJ will display the Histogram plot. Clicking "List" will generate a list of brightness levels and the corresponding pixels at that level, with 255 being the Max brightest level. The exposure should be such that there are no pixels at that Max 255 level. However, there should be a number of pixels close to that Max 255 level. With digital cameras, pixels which are at the Max are displayed as flashing bright spots, which alerts to over exposure and the loss of information i.e., "clipping".

	To compute the mirrors Foucalts, input ImageJ's Slit Center of Masses into the SIT Conic spreadsheet. To download the SIT Conic spreadsheet click here

SIT ATM'ers
	Contact Jeff Baldwin Contact Bill Thomas

Mask Holes
	The mask holes need to be accurately located. The mask material used is 060 ABS. ATM'er Lonnie Robinson ( http://hourglass-telescope-mirrors.com ) developed the "Digital Read Out" - DRO Mask Making System shown below in Figure 7 which provides the required accuracy.

Figure 7.
Lonnie Robinson's
DRO Mask Making System

Note:The hole positions are adjusted to compensate for parallax i.e., rays are not at right angels to the mask. This is done by the SIT Conic spreadsheet.

A scanning laser which would start pulsing on detection of the edge, would eliminate the need for a mask.

Pixels/Inch

As an example, using the Canon EOS Rebel T6 ( https://productz.com/en/canon-eos-rebel-t6/p/nrD) specs are as Follows:
Horizontal Sensor of 22.3 mm or 0.8779528 inches
Max horizontal resolution of 5184 pixels
Pixesls/inch 5905 = (5184/0.8779528)

References

(1) Karine and Jean-MarcLecleire, A Manual for Amateur Telescope Making. http://www.willbell.com/tm/atmmanual/index.htm
(2) Conics Optical Shop Testing Edited by Daniel Malacara, Wiley and Sons, 1978, Appendix 1 page 479, 482 Conic approximation Conic equations Conic constant - Schwarzschild constant
(3) LWT J. Francis, "Improved Test Methods for Elliptical and Spherical TCT Mirrors,", ATM J. 14, 34-39, (ISSN 1074-2697). Unfortunately, references to the LWT on the Internet have mostly faded away. Jim Burrows author of Sixtests.exe does mention the LWT in passing at http://www.raddobs.com/atm/atm_math.htm. LWT was a variant of the moving source Caustic where instead of trying to determine a Caustic zone holes focus laterally and longitudinally precisely, the LWT measurements were done manually in the same lateral plane. Being that for the LWT the longitudinal value was irrelevant, didn't require a mask and little judgment was required to determine laterally where a zone ray crossed the lateral plane, the LWT was an improvement over the standard Caustic. However, the required lateral accuracy required was very tight. Given small room temperature and the time to take the measurements, I could not get repeatable LWT results. In 1940, Dr. James Cuffy of the Indiana University, published a version of the Hartmann test which is not relevant to the Foucault SIT, being the SIT is a Fixed Source Caustic Lateral Wire Test as is the Sixtests.exe which computes the mirrors surface profile.
(4) Lens mount to CCD spacing Recommend saving this webpage to your computer, since it has vanished in the past.

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