THE PHYSICAL BASIS FOR THE USE OF REFLECTIVE VOLUME HOLOGRAMS IN RADIO PHOTONICS DEVICES

2021 ◽  
Author(s):  
А.Г. ПРЫГУНОВ
Keyword(s):  
Mathematical Model ◽  
Field Intensity ◽  
Spectral Distribution ◽  
Radio Signal ◽  
Optical Field ◽  
Volume Hologram ◽  
Photonic Device ◽  
Volume Holograms ◽  
The Relationship ◽  
Photonics Devices

Предлагается технология создания устройств радиофотоники на основе использования в них объемных отражательных голограмм. Построена математическая модель взаимосвязи параметров радиосигнала и пространственно-спектрального распределения интенсивности оптического поля в плоскости интерферограммы, формируемой световыми потоками, дифрагировавшими на объемной отражательной голограмме. Проведен анализ чувствительности параметров интерферограммы, формируемой в голографическом радиофотонном устройстве. The technology of creating radio-photonics devices based on the use of volume reflective holograms is proposed. A mathematical model of the relationship between the parameters of the radio signal and the spatial-spectral distribution of the optical field intensity in the plane of the interferogram formed by light fluxes diffracted on the volume hologram is constructed. The sensitivity of the parameters of the interferogram generated in a holographic radio photonic device is analyzed.

scholarly journals Analysis of the selectivity properties of volumetric holograms in radio-photonic devices

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
A.G. Prygunov ◽  
Keyword(s):  
Light Beam ◽  
Spherical Wave ◽  
Light Flux ◽  
Photonic Devices ◽  
Optical Field ◽  
Optical Scheme ◽  
Spatial Selectivity ◽  
Volume Hologram ◽  
Photonic Device ◽  
Optimal Reconstruction

The importance of the use of radio-photonics in telecommunication equipment is shown. The place and tasks of volumetric holograms in radio-photonic devices are described. The urgency of the problem of studying the properties of selectivity of a volume hologram, which determine the influence of this hologram on the parameters of the light flux in a radio photonics device, has been substantiated. The analysis of the exposure conditions of the volume hologram for the formation of the structure of the striations, providing its spectral and spatial selectivity to the light flux. A reasonable choice of the type of photographic material of a volumetric hologram for its use in the construction of a radio-photonic device is shown. A variant of the optical scheme for recording a volume hologram with two counter propagating light beams with spherical wave fronts and the equation of this hologram are presented. The parameters that determine the structure of the striations of the volume hologram are listed. The analysis of the conditions for the reconstruction of the optical field exposed on the volume hologram is carried out. Conditions for optimal reconstruction of an optical field by a hologram and its destruction are considered. Diagrams of the angles of reconstruction of optical fields by a volumetric reflective hologram are presented. It is shown that when a reconstructing light beam with a spherical wave front is incident on a volume hologram, in order to provide the highest value of the energy of the reconstructed optical field, the reconstructing light beam must be narrowly directed, and its optical axis must coincide with one of the directions of optimal reconstruction. In this case, the reconstructing light beam should be located between the two directions of complete destruction of the optical field. It is concluded that a volume hologram possesses the properties of both spectral (to the wavelength of light) and spatial selectivity, which must be taken into account when using it in a radio-photonic device.

Temperature Influence on Performance of Oxidation Ponds

1991 ◽  
Vol 24 (5) ◽  
pp. 85-96 ◽  
Author(s):  
Qingliang Zhao ◽  
Zijie Zhang
Keyword(s):  
Mathematical Model ◽  
Temperature Influence ◽  
Field Scale ◽  
Experiment Data ◽  
Computer Technique ◽  
Oxidation Pond ◽  
Optimum Model ◽  
Oxidation Ponds ◽  
The Mathematical Model ◽  
The Relationship

By means of simulated tests of a laboratory–scale oxidation pond model, the relationship between BOD5 and temperature fluctuation was researched. Mathematical modelling for the pond's performance and K1determination were systematically described. The calculation of T–K1–CeCe/Ci) was complex but the problem was solved by utilizing computer technique in the paper, and the mathematical model which could best simulate experiment data was developed. On the basis of experiment results,the concept of plug–ratio–coefficient is also presented. Finally the optimum model recommended here was verified with the field–scale pond data.

Pulse-Width Modulated Amplifier for DC Servo System and Its Matlab Simulation

2015 ◽  
Vol 9 (1) ◽  
pp. 625-631
Author(s):  
Ma Xiaocheng ◽  
Zhang Haotian ◽  
Cheng Yiqing ◽  
Zhu Lina ◽  
Wu Dan
Keyword(s):  
Mathematical Model ◽  
Transfer Function ◽  
Input Signal ◽  
Pulse Width ◽  
Rotation Speed ◽  
Servo Motor ◽  
Matlab Simulation ◽  
Pulse Width Modulated ◽  
Signal Changes ◽  
The Relationship

This paper introduces a mathematical model for Pulse-Width Modulated Amplifier for DC Servo Motor. The relationship between pulse-width modulated (PWM) signal and reference rotation speed is specified, and a general model of motor represented by transfer function is also put forward. When the input signal changes, the rotation speed of the servo motor will change accordingly. By changing zeros and poles, transient performance of this system is discussed in detail, and optimal ranges of the parameters is recommended at the end of discussion.

Modeling the Growth of Salmonella in Cut Red Round Tomatoes as a Function of Temperature

2010 ◽  
Vol 73 (8) ◽  
pp. 1502-1505 ◽  
Author(s):  
WENJING PAN ◽  
DONALD W. SCHAFFNER
Keyword(s):  
Mathematical Model ◽  
Growth Rates ◽  
Low Temperatures ◽  
Safety Concern ◽  
Time Intervals ◽  
Salmonella Serotypes ◽  
Increasing Temperature ◽  
Incubation Temperatures ◽  
Raw Poultry ◽  
The Relationship

Tomato-associated Salmonella outbreaks have recently become a significant food safety concern. Temperature abuse of cut tomatoes may have played a role in some of these outbreaks. The purpose of this study was to develop a mathematical model to describe the growth of Salmonella on cut tomatoes at various temperatures. Four Salmonella serotypes (Typhimurium, Newport, Javiana, and Braenderup) obtained from previous tomato-linked cases of salmonellosis were used in this study. These four serotypes were cultured separately, combined into a cocktail, and inoculated onto whole red round tomatoes and allowed to dry overnight. The tomatoes were then cut into pieces and incubated at a predetermined range of temperatures (10, 12.5, 15, 17.5, 20, 22.5, 25, 27.5, 30, and 35°C). Salmonella concentration was measured at specified time intervals to determine the growth curve for Salmonella on cut tomatoes at each temperature. The growth rates were calculated using DMFit and used to build a mathematical model to illustrate the relationship between the growth rates of Salmonella on tomatoes and incubation temperatures from 10 to 35°C. The resulting model compared favorably with a Salmonella growth model for raw poultry developed by our laboratory. The Pathogen Modeling Program underpredicted growth at low temperatures and overpredicted growth at high temperatures. ComBase predicted consistently slower growth rates than were observed in tomatoes but showed parallel increases in growth rate with increasing temperature.

scholarly journals THE INNOVATIVE POTENTIAL OF HUMAN RESOURCES AS A FACTOR IN THE DEVELOPMENT OF THE INNOVATIVE TECHNOLOGIES MARKET IN UKRAINE

2021 ◽  
Vol 23 (1(78)) ◽  
pp. 58-74
Author(s):  
I.V. GRYSHCHENKO ◽  
V.F. GRYSHCHENKO
Keyword(s):  
Mathematical Model ◽  
Human Resources ◽  
Market Development ◽  
Short Term ◽  
Model Calculations ◽  
Innovative Technologies ◽  
Innovation Capacity ◽  
Innovative Potential ◽  
The Impact ◽  
The Relationship

Topicality. The successful operation of an economic entity, in the development of the innovative technologies market, is largely determined by the innovative potential of its human resources - by the people who work for it - their knowledge, talents, and skills. The wrong combination of these elements, lack of employees who have the necessary qualifications, lack of harmony in the relationship between employers and employees can inevitably lead to serious financial and economic problems. Improving the efficiency of the use of the innovative potential of human resources in the development of the innovative technologies market is one of the most urgent tasks for any business entity. The competitive advantages of business entities, financial and economic indicators of their activity, ensuring sustainable development of entrepreneurship in general, are depending on the degree and balance of its use. Aim and tasks. The purpose of the work is to analyze and develop on its basis recommendations for increasing the level of the innovative potential of human resources in the context of the development of the innovative technologies market in Ukraine. Research results. The article analyzes the main structural elements of the innovative potential of human resources and identifies the factors influencing its level in Ukraine. The results of the analysis allowed us to build an economic and mathematical model of the relationship between innovation capacity, as an indicator of the development of the innovative technologies market and components of the innovative potential of human resources in Ukraine. This made it possible to predict the level of innovation capacity as an indicator of the innovative technologies market development in Ukraine in the short term. The obtained results allowed us to identify problems and develop recommendations for increasing the level of the innovative potential of human resources in the context of the innovative technologies market development in Ukraine. Conclusion. Based on the developed economic and mathematical model, calculations were made that characterize the relationship between innovation capacity as an indicator of the innovative technologies market development and components of the innovative potential of human resources in Ukraine. As shown in the calculations, the proposed economic and mathematical model with high accuracy allows to assess the impact of components of the innovative potential of human resources on innovation capacity and identify major obstacles for its development, which made it possible to predict trends in innovation capacity as an indicator of the innovative technologies market development in Ukraine in the short term.

scholarly journals Development of a mathematical model for calculating the process of crushing hard rocks by explosions of cylindrical charges of explosives

2020 ◽  
Vol 5 ◽  
pp. 30-32
Author(s):  
Norov Yunus Dzhumaevich ◽  
Mehmonov Maksud Rabbonokul ugli
Keyword(s):  
Mathematical Model ◽  
Rock Mass ◽  
Mechanism Of Action ◽  
Mathematical Description ◽  
Granulometric Composition ◽  
Rock Fragmentation ◽  
Hard Rocks ◽  
Definition Of ◽  
The Relationship

The article presents a developed mathematical model for calculating the granulometric composition of the blasted rock mass based on the mechanism of action of an explosion in rocks, a mathematical description of the determination of natural units (blocks) in the rock mass, the relationship between the degree of rock fragmentation and the size of the units and the definition of sections of the controlled pressure zone.

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