1. The Sonnar-type lens and the Gauss-type lens
The advent of the small interchangeable-lens camera, such as the Leica, sparked fierce competition in terms of performance enhancement between the Sonnar-type lens and the Gauss-type lens, in a struggle for pole position as the standard large-diameter lens. The Sonnar-type lens, which was discussed in Tale 34, can be configured as a three-group, six-element lens, as shown in Figure 1, or as a three-group, seven-element lens, with the rear group comprised of three elements. The basic Gauss-type lens, which was discussed in Tale 2, has a configuration of four groups and six elements, as shown in Figure 2.

- Figure 1: Lens configuration of the Nikkor-H 5cm f/2

- Figure 2: Lens configuration of the Nikkor-H Auto 50mm f/2
Up until the 1940s, the Sonnar-type lens was predominant, due to its simple three-group configuration. The lack of anti-reflective coating technology at that time meant that the more lens boundary surfaces there were that bordered the atmosphere, the lower the transmittance of the lens. In addition, irregular reflection by the outermost surface of the lens led to increased ghosting and reduced contrast. There was the problem that improving the theoretical performance of a lens by increasing the number of elements in its configuration did nothing to prevent a reduction in contrast when images were actually shot. For this reason, the Sonnar-type lens, which made extensive use of cemented lenses and had only six boundary surfaces bordering the atmosphere, enjoyed relative superiority over the Gauss-type lens, which had eight elements.
The Sonnar-type lens still has its merits. First, it is compact. While the total length of a Gauss-type lens is considerably greater than its focal length, due to its so-called symmetrical structure, as an asymmetrical optical system the Sonnar-type lens allows a more compact design. This characteristic certainly contributed to its use in Rangefinder cameras, which were designed to be lightweight and compact.
Another feature of the Sonnar-type lens also deserves mention—its advanced high-order spherical aberration and coma correction capability. The Gauss-type lens enjoyed the advantage that, due to its configuration, spherical aberration and low-order coma are corrected naturally. However, its natural configuration made it poor at high-order coma correction. In contrast, the Sonnar-type lens was able to slickly correct high-order coma employing the principle of "like curing like," in the same manner as the 8.5cm f/1.5 lens for the S Series, as described by Haruo Sato.
You might think from this that the Sonnar-type lens had so much going for it that the Gauss-type lens was a non-starter. This was not the case, however. The Gauss-type lens was better at correcting spherical aberration, astigmatism and chromatic aberration, and it offered better resolution when stopped down, due to the aperture's small focal shift. However, surely a large-diameter lens is supposed to be used at its widest aperture setting, it was thought, and sure enough, with its low boundary surface losses and high contrast at full aperture, the Sonnar-type lens was generally regarded as superior.
This assessment was to gradually change, however, due to the technological revolution of the 1940s and 1950s.
One factor in this was the anti-reflective coating, which was invented in the 1940s. This invention served to eliminate the disadvantage that the Gauss-type lens suffered due to its greater number of atmospheric boundary surfaces. Another factor was the development of high-refraction-index, low-dispersion lantern glass, which began around 1950. This new glass enabled the Gauss-type lens to correct high-order coma. Bolstered by these two developments, from the 1950s onwards the markedly improved Gauss-type lens was to come into its own.