The paper presents an augmented reality display based on the free-space combiner, consisting of two holographic mirrors: flat and spherical. A feature of such a system is a high-reflection coefficient of mirrors up to 90% for one wavelength and a high transmittance to the lumen up to 67% throughout the rest of the visible spectrum, unlike similar solutions implementing principles of polarization or dichroic beam splitting. The recording scheme and calculation of a separate flat holographic mirror and spherical holographic mirror are described. The proposed augmented reality display can provide multifocality, i.e., reproduction of virtual images at several distances, which demonstrates a certain perspective of this implementation in terms of compensation for the vergence accommodation conflict.

The recording process of multiplex Bragg diffraction gratings for lightguide displays by the method of optical copying with use of a phase mask is described. In this experiment, the lightguides are made of photothermorefractive glass. A photoresistive relief phase diffraction grating unattached to the light guide plate is used as a phase mask. A compact augmented reality display is created on the basis of studying the angular multiplexing of such Bragg gratings.

The article describes the variants for using the relief phase diffraction gratings for a waveguide used as an optical input/output element for images in augmented reality systems. A characteristic feature of diffraction gratings with a surface relief, which, in this case, were recorded in the photoresist layer, is a relatively small relief depth (of the order of several tenths of a micrometer), while the diffraction efficiency of such gratings is quite high (up to 30%). The paper considers an implementation option for a waveguide with a common angular field of view close to 60 degrees. The article presents the waveguide options used to output both monochrome images and display full-color images.

The article describes the recording of multiplex Bragg diffraction gratings for optical lightguide displays using an optical replication method with a phase mask. The lightguides in the experiment were made of photo-thermo-refractive glass. A photoresist relief-phase diffraction grating was used as a phase mask. Based on angle multiplexing, a compact augmented reality display was implemented.

An augmented reality display based on a planar waveguide made in photo-thermo-refractive glass had been demonstrated. The monolithic integration of multiplexed volume Bragg gratings with the waveguide platform provided in/out-coupling and image transmission from a portable projector. Design and calculation of the grating configuration was performed. The optical replication method was simulated and implemented for manufacturing the multiplexed coupling elements. Resulted field of view was limited by the projection system of the prototype, however can be expanded beyond 50o.

This paper examines the feasibility of producing multiplexed Bragg gratings for use as diffractive optical elements (DOEs) by coherent optical replication of a surface-relief phase grating into thick-film photosensitive materials. The use of such DOEs in light guide plates (LGPs) for optical imaging systems ensures energy-efficient light input into and output from LGPs and allows one to minimise their weight and size. We present simulation results for the interference structure fabrication process and recording of a series of multiplexed diffraction gratings in photosensitive materials.

The article describes the features of the security elements used in color three-dimensional security holograms. Unlike classical security holograms-"rainbow" relief-phase holograms, color three-dimensional security holograms have spectral and angular selectivity. This feature allows them to create new security elements or use the properties of already known elements as a new. The article describes the schemes and devices for creating such security elements, as well as devices for their visualization and control. Examples of typical security elements used in color three-dimensional security holograms are presented. This work was supported by the Russian Science Foundation (Project No. 18-79-00304).

Optical sensors of linear displacements with diffraction gratings serving as the measurement scales are investigated. A method of stabilization of the phase difference of quadrature measurement signals, consisting in the use of an analyzing scale with a special structure, is proposed. A design of an optical encoder based on the method is proposed. Mathematical simulation of the phase shift of the measurement signals as a function of the parameters of the diffraction grating is performed, and the results of the simulation are presented. The RCWA method is used to simulate the passage of radiation through the optical system. The optimal parameters of the structure of the analyzing scale are calculated. Experimental investigations of a mock-up of the encoder are performed and results of measurements of the phase difference of the measurement signals are presented.

An optical position encoder uses two difraction gratings in a measurement scale and measuring head for generating cosine measurment signals. This report is about special subperiod structuring of thees gratings for generating of two signals with quadrature phase shift for better the resolution of an optical position encoder.

Optical position encoders working according to the interference method consists of a measurement scale and a measuring head moving along each other. The scale has a reflection diffraction grating on its surface and the measuring head has a transmission diffraction grating with same period inside. Laser light passing and diffracting through these two gratings creates an interference signal on an optical detector. Decoding of the interference signal phase allows to determinate current position. Known optical position encoders use complex optical schemes and some phase optical elements to form several quadrature signals with different phase for higher encoder accuracy. Previously we researched such kind of schemes [1, 2]. In this paper we propose to use a common optical scheme without phase elements but with a complex structured measuring head grating for this purpose to simplify an optical scheme and alignment requirements. The optical scheme of position encoder based on measuring head grating with specific structure is research and described in this paper.

The article presents a two-stage scheme for obtaining volume color security holographic stereograms. These holograms are digital holograms. The H1-hologram is recorded at the first stage. The final holographic stereogram is recorded at the second stage. The image of the H1-hologram is reconstructed in the plane of pupils of the observer's eyes, when 3-D images are reconstructed from holographic stereograms. The quality of the 3-D images reconstructed from hologram stereograms directly depends on the degree of blurring of the H1 image - the hologram. The article shows mathematical calculations describing the effects of the spectral and angular selectivities of a three-dimensional color security holographic stereogram on the process of reconstructing 3-D images (the degree of blurring of the H1 image-hologram). It is shown, that the quality of security elements, such as the "flip-flop effect", for this type of hologram, has a more pronounced effect in the vertical plane than in the horizontal plane. This is due to the large influence of the spectral and angular selectivities in the vertical plane, than in the horizontal one when reconstructing the images. Photos of images, reconstructed from a three-dimensional color security holographic stereogram, are also presented in the article. These photos confirm the correctness of the presented calculations.

Optical position encoders working according to the interference method consists of a measurement scale and a measuring head moving along each other. The scale has a reflection diffraction grating on its surface and the measuring head has a transmission diffraction grating with same period inside. Laser light passing and diffracting through these two gratings creates an interference signal on an optical detector. Decoding of the interference signal phase allows to determinate current position. Known optical position encoders use complex optical schemes and some phase optical elements to form several quadrature signals with different phase for higher encoder accuracy. Previously we researched such kind of schemes [1, 2]. In this paper we propose to use a common optical scheme without phase elements but with a complex structured measuring head grating for this purpose to simplify an optical scheme and alignment requirements. The optical scheme of position encoder based on measuring head grating with specific structure is research and described in this paper.

The article describes a new optical scheme of noncontact sensor for measuring linear displacement - linear encoder. This sensor is an optical device in which the measurement of displacement is performed by analyzing the optical signal, which pass through two diffraction gratings, one of which is moved relative to the other. The optical signal is obtained by the diffraction of light in these diffraction gratings and subsequent interference of diffracted beams. Often this type of sensors are multi-channel devices with symmetrically positioned of detectors. This scheme is proposed to use a multisection phase mask that allows to make a small-sized sensor. Sections of this multi-section phase mask are the optical windows and they made the final interference signals to be shifted relative to each other in phase. The number of sections in the multi-section phase mask can be varied. Estimated sufficient number of sections is four or more.

Visual security elements used in color holographic stereograms - three-dimensional colored security holograms - and methods their production is describes in this article. These visual security elements include color micro text, color-hidden image, the horizontal and vertical flip - flop effects by change color and image. The article also presents variants of optical systems that allow record the visual security elements as part of the holographic stereograms. The methods for solving of the optical problems arising in the recording visual security elements are presented. Also noted perception features of visual security elements for verification of security holograms by using these elements.

The paper presents the practical results of recording holographic stereograms. Advantages and disadvantages of methods for producing holographic stereograms using diffusers with different indicatrices scattering of the radiation in the object branch and without the use of a diffuser are presented. A new security element - multi-color microtext, is presented. Shows how to use multi-color microtext as a hidden security element. The method of multi-color microtext visualization is shown. The work was partially funded under the Agreement with the RF Ministry of Education and Science no. 14.577.21.0197, grant RFMEFI57715X0197.

МЕТОД И УСТРОЙСТВО ДЛЯ ОДНОЭТАПНОЙ ЦИФРОВОЙ ЗАПИСИ ЦВЕТНЫХ ПОЛНОПАРАЛЛАКСНЫХ ГОЛОГРАММНЫХ СТЕРЕОГРАММ А

Optical position encoder consists of movable coding grating and fixed analyzing grating. Light passing and diffracting through these two gratings creates interference signal on optical detector. Decoding of interference signal phase allows to determinate current position. Known optical position encoders use several accurate adjusted optical channels and detectors to gather several signals with different phase for higher encoder accuracy. We propose to use one optical channel with several-section analyzing diffraction grating for this purpose to simplify optical scheme and adjusting requirements. Optical scheme of position encoder based on four-section analyzing diffraction grating is developed and described in this paper.

The secrets of the design of security holograms for marking products against counterfeiting and falsification hide in visual color effects. The use of plasmon diffraction gratings in the production of holograms creates color volumetric images, color microtext, color hidden image, horizontal and vertical flip-flop effects (colored and imaging). The review briefly presents the possibilities of creating new optical security elements and security holograms with unusual color effects based on plasmon diffraction gratings and tree-dimensional holograms in a thick-layer photosensitive recording medium. Methods to solve optical problems that arise when recording visual security elements are suggested. In addition, the perception features of the visual security elements when verifying the security hologram are noted.

In this paper, dependencies of the angular and spectral selectivity on the incidence angle of the reference beam in a scheme for obtaining reflection and transmission holograms are obtained and analyzed. It is shown that for obtaining color holographic stereograms a scheme for obtaining transmission holograms is more suitable. While the angular selectivity of reflection and transmission color holograms is the same, the spectral selectivity of the reflection hologram is much higher at all wavelengths of recording. A method and equipment for one-step digital recording of color full-parallax holographic stereograms with rasterless image are developed. Samples of color full-parallax security holographic stereograms with a "flip-flop" effect in the image were obtained. The quality of the reconstructed image verifies high spectral selectivity for this type of holograms.