The paper presents a detailed theoretical analysis of two-component optical systems of Petzval objective, tele-objectives, reverse tele-objectives, and objectives of anallactic type. This type of optical system is popular in practice, especially in the field of photographic technologies and surveying devices (theodolites, levelling devices, etc.), where anallactic telescopes with inner focusing are used. The paper presents methods of designing of fundamental parameters of the objective, i.e., focal distances of the objective's components and their mutual distance, and radii of curvatures of individual surfaces if the components are cemented doublets. Further, a detailed analysis of aberration properties of those optical systems is presented. (C) 2020 Optical Society of America
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