A research on the influence of geometry and topology of micro-relief on the formation of angular distribution of radiation in optical diffusers

• Дата: 2026
• Автор: Косяк, І. В.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут проблем реєстрації інформації НАН України 2026
• Теми: optical diffuser; homogenizer; relief structure; hexagonal topology; indentation; scattering indicatrix
• Онлайн доступ: https://drsp.ipri.kiev.ua/article/view/363154
• Назва журналу: Data Recording, Storage & Processing

The study is devoted to solving the scientific and technical problem of controlling the spatial distribution of light radiation using micro-structured optical elements. In modern laser guidance systems, projection devices and means of radiation homogenization, the formation of uniform light fields without a parasitic zero-order diffraction peak is critically important. Traditional methods for creating diffusers often do not provide the necessary isotropy of scattering or have a low surface filling factor, which makes the development of new micro-relief topologies and methods for their automated design urgent. The research utilizes a comprehensive approach that includes mathematical modeling of microstructures, software implementation of coordinate calculation algorithms and experimental testing of the obtained samples. For the manufacture of matrix stamps, the method of precision indentation of a metal substrate with spherical and conical indenters with subsequent thermo-pressing of the polymer material was used. The calculation automation process was implemented in Python 3.12, which allowed generating control G-code for CNC machines with positioning accuracy of units of micrometers. A comparative analysis of the formation of light fields by diffusers with different microelement geometries was carried out. It was established that spherical indenters provide the formation of a homogeneous circular scattering spot due to the continuous distribution of the inclination angles of the micro-facets. It was proved that the use of conical structures leads to the formation of an annular intensity distribution, which is effective for certain laser guidance systems. The use of a hexagonal topology for placing micro-spherical elements with a given overlap of indentation zones was proposed and justified. This allowed achieving 100 % surface filling factor, which is a necessary condition for complete suppression of the undeflected beam (zero order). The quantitative dependence of the scattering angle β on the relative indentation depth h/D has been established, which allows for precise design of diffusers with specified characteristics of the scattering indicatrix. The developed specialized software allows for a quick transition from the stage of calculating optical parameters to the direct manufacture of matrices. The results of the study can be implemented in the creation of optical homogenizers for photo-detectors, laser microprocessing systems of materials and high-precision guidance systems. The experimentally obtained samples demonstrated a high correspondence to the calculated models, which confirms the effectiveness of the proposed approach. Fig.: 6. Refs: 7 titles.