Wright Camera
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In 1935, just a few years after the introduction of the Schmidt camera, Franklin Wright (Berkley, California) presented his "short" alternative to the original arrangement. He placed Schmidt corrector at the focal plane, and had the mirror aspherised in order to cancel coma resulting from the altered stop position (the aperture stop effectively coinciding with the corrector).
The Wright camera design logic can be followed with two simple relations. Knowing that mirror coma changes with a factor 1-(1+K)σ, where K is the mirror conic and σ the mirror-to-stop separation in units of the mirror radius of curvature, and that mirror's best astigmatic surface becomes flat for σ=[1-(0.5-K/2)1/2]/(1+K), zero coma requires σ=1/(1+K), which in turn, for the flat-field stop location requires (0.5-K/2)1/2 =0.
Thus, to a third-order transverse (geometric) aberration, or to a fourth order wavefront aberration, for zero coma and flat astigmatic field K=1 (oblate ellipsoid) and σ=0.5.
[edit] Image quality
While astigmatism remains present in the Wright camera, it conveniently combines with the mirror's Petzval curvature to result in a flat best image surface. In effect, the only monochromatic fourth order (wavefront) aberration of the Wright camera is relatively strong astigmatism.
In terms of the wavefront error, the flat-field P-V errors are identical in both, Schmidt and Wright camera, given by W=h2/16DF3 (h being the height in the image plane, D the aperture diameter and F the focal ratio number).
However, while the off-axis error in the flat-field Schmidt results from defocus, in the Wright camera it is caused by astigmatism. Since the RMS/P-V error ratio is smaller by a factor of 0.51/2 for astigmatism, the actual quality flat-field radius in the latter is larger by a factor of 1.4.
On the other hand, best (curved) image surface of the Schmidt is practically free from off-axis aberrations, hence clearly superior in quality to a best (flat) field in the Wright camera. Also, since the Wright camera requires twice as strong corrector to cancell spherical aberration of the mirror, its chromatic error is double that in a comparable Schmidt camera.
Both, more strongly aspherized corrector and, especially, strongly aspherized fast mirror (into a rather unpopular type of aspheric shape) of the Wright are a fabrication disadvantage. On the good side, Wright camera is only about half as long as the standard Schmidt. Also, since the corrector in Wright's arrangement nearly coincides with the image plane, it can support the film/detector assembly, clearing the optical path from supporting vanes.
For more details on the optical properties of the Wright and Schmidt camera:[1]