In the last post I covered my 'final' experiment in creating a Digital Multi-Format Shift Camera set up, that covers XPan like sensor capture (over 65x24mm sensor equivalence) and Medium Format sensor capture (for example a 78x44mm sensor equivalence).
In this post I will show how one can get an optical model of this system, simply by knowing a few, easily obtained, dimensions; eg the entrance pupil location on axis, the camera body's flange focal distance, the pupil magnification, and the focal length.
In this post I will look at my Canon R, coupled to the Laowa EF to RF Magic Shift Converter, coupled to the Kipon 645 to EF shift adapter, coupled to my 45mm Mamiya 645 lens, set at infinity focus.
The location of the on axis entrance pupil location of this three sub-system lens system can be estimated using my laser leveller method (see this post here).
The set up is simplicity itself and estimating the position of the on axis entrance pupil takes a minute or so. The set up is to place the lens or lens system in this case, horizontally on a sheet of paper on a flat surface.The first step is to set up a suitable rear surface to help us adjust the laser angle, ie the cardboard box in this image. Then we use the laser leveller to establish and mark a zero from which we will measure the position of the entrance pupil location, in this case the front edge of the lens, which we will use as our reference plane. We could have also used the lens rear flange:
Having established a reference, we now simply use the laser leveller to record two rays that will allow us to locate the entrance pupil. It is good practice to not move the laser too far from the optical axis, due to potential pupil curvature:
As can be seen, one does not need to worry about focus on the rear surface, as all we are looking for is for the laser to be centred in the projection. With these three lines, we now have an estimate of the location of the on axis entrance pupil, in this case 36mm, from the front edge of the lens body:
Next we measure from the front reference edge of the Mamiya lens to the flange surface that will abut with the camera, ie the one for the rear shift Magic Shift Converter (MSC). In this case I estimated it at 138mm, and I called the overall lens diameter 75mm. That is all the lens complexity is represented by a black box model, 138mm long, 75mm in diameter, with an entrance pupil at 36mm from the front of the black box.
The next task is to estimate the pupil magnification of the lens system, which is easily done by inspecting the front and rear of the lens system. In this case, my eyeball approach told me the pupil magnification was near unity, ie the lens system was neither retro focus of telescopic in nature. That is, the MSC’s influence on the Mamiya 645 45mm, is to convert the pupil magnification from 1.6, ie a retro focus lens, to unity.
Also, although I'm using a 45mm Mamiya 645 lens, because of the MSC this becomes a 45x1.4 lens, ie a 63mm focal length lens system. From the lens depth of field scale, and the manufacturer's data, the minimum focus distance is 450mm (which I took as read).
The Canon RF system's flange focal distance is 20m, which allows us to estimate the position of the entrance pupil, relative to the sensor plane, ie 122mm.
As for the sensor, I simply used the 35mm diagonal, ie around 43.3mm, but I could also enter any of the stitched sensor dimensions, ie to estimate the angle of the field of view.
The final stage was to input all the measurements into the Poor Man's Optical Bench (see here) and focus at 'infinity', ie 60m away. Giving the following output:
The above providing us with some useful information, eg an estimate of the location of the no parallax point, ie the on axis entrance pupil location and from where the hyperfocal distance is referenced eg as shown below:
Bottom line: although we can tap into the PhotonsToPhotos Optical Bench, thanks to Bill Claff’s great work, in some cases our camera/lens set up can't be realised through PTPOB. In such cases, this post has shown how one can get an estimate of the main camera/lens characteristics. Surely a better model than using a thin lens model.
As usual I welcome any comments on this post or any of my posts.

















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