V. A. Zverev

Wave aberration function and its definition

A definition of a wave aberration as a phase shift upon composition of light waves in the image of a point is given using the concept of point eikonal. An expression that determines the total differential of a wave aberration function is obtained and the condition of its integrability is determined. The sequence of the wave aberration function definition at the known functions of the meridional and sagittal components of lateral aberration is presented.

How the decentering of surfaces of revolution affects the position of the image plane

This paper gives a definition of the decentering of optical surfaces of revolution of spherical and nonspherical shape that constitute an optical system and determines how decentering the surfaces affects the position of the resulting image. The relationships presented here can be used for both refractive and reflective surfaces.

The aberrational properties of a thin lens as an element of a composite optical system

Based on the result of an aberrational analysis of a thin lens in air, it is demonstrated that not only stigmatic but also aplanatic correction of third-order aberrations is possible in an image formed by a system of positive lenses, and the conditions for carrying out this correction are determined.

Converting the radiation of a flat source into a light tube of cylindrical shape

Using the relationships of geometrical optics, it is shown to be possible to convert the radiation of a flat source into a light tube of cylindrical shape. Versions of the optical conversion layouts are presented.

Versions of a mirror-objective composite based on an optical system of Gregory and Cassegrain objectives

This paper analyzes the size parameters and aberrational characteristics of versions of composite optical systems made from reflective surfaces based on Gregory and Cassegrain objectives.

Analysis and parametric synthesis of the optical systems of a mirror–lens concentric objective

This paper analyzes the aberrational properties of mirror and mirror–lens optical systems consisting of the concentric surfaces of the objective and presents a method of parametrically synthesizing them.

Versions of a composite high-aperture mirror objective of compact design

It is shown that using an afocal Mersenne system that possesses known anaberrational properties makes it possible to construct a number of compact mirror and mirror–lens systems that possess aplanatic, anastigmatic, and planastigmatic correction of the aberrations of the resulting image, with the length of the system being about a factor of 4 less than the diameter of its entrance pupil.

Generalized parametric model of an optical system and its analysis

This paper defines a generalized parametric model of an optical system and analyzes it. The results of the analysis make it possible to specify how much the structural parameters of the optical system may deviate from the nominal values for various forms of assemblies of optical devices.

Errors in fabricating and installing reflective prisms

This paper analyzes how errors of fabrication and deployment affect the position of the baseline (the optical axis) when reflective prisms are being assembled. An expression is obtained for the law of refraction in matrix form, making it possible to use a simple and obvious derivation to obtain the decoplanarity invariant. By applying it successively to each of the surfaces of a prism, we obtain after the last surface the deviation of the ray coming out of the prism from the plane of the principal cross section in the form of a function of the deviations of the normals to all the surfaces of the prism from its principal cross section—i.e., of the decoplanarity of the normals to the surfaces of the prism.

Choosing an optical setup and designing compact objectives for mobile telephones

This paper discusses fundamental questions of constructing the optical setup of a compact objective and choosing the initial design for the system, based on the theory of the synthesis and composition of optical systems. The planning of the optical systems of compact objectives for mobile telephones is analyzed. An example of a design for a version of an objective is given.