Vol 27, No 1 (2024)
Articles
Anatoly Serafimovich Ilyinsky (13 August 1939 – 23 January 2024) passed away
Reciprocal action of natural bianisotropy and artificial chirality on electromagnetic propagation in medium
Abstract
Background. The present article investigates the reciprocal action of specific medium effects on electromagnetic waves propagation. The object of study is a moving dielectric, which at rest already demonstrate bianisotropic properties, i. e., it is a synthetic material, e. g., chiral media with Ω-particles. Bianisotropic material equations are the most general for describing the effects of electromagnetic waves interaction with complex medium. Studying and analyzing them is proving to be a notable scientific problem. Natural bianisotropy is a property of simple media under special conditions (state of motion, internal currents and diffusion processes), whereas artificial bianisotropy is an inherent property of the synthetic material itself (composite material, material with different metaparticles).
Aim. The main goal of the work is to generalize the already available data. On it basis, then, obtain analytical expressions, which can be effectively used for the experiments designing, creating new computational techniques for solving direct and inverse electromagnetic diffraction problems.
Methods. In this paper, analytical methods are applied to obtain the resulting close-form expressions.
Results. Three classes of effects have been identified that have a significant reciprocal effect on each other: gyrotropy, spatial dispersion, and temporal dispersion. In this article it was shown that the gyrotropy of the medium has not only a simple additive effect, but under some, specific conditions, can be related to the system emergence.
Conclusion. The reciprocal action of the spatial dispersion of the moving chiral medium, generally has different scales in range. Temporal dispersion was investigated, which does not have a simple additive property, because even an isotropic medium acquires fundamentally new material properties of bianisotropy when it moves.
Frequency dependence of the group velocity of surface polaritons in a single-axle crystal of the Würcite type
Abstract
Background. Surface polaritons attract the attention of researchers and engineers for their unique properties and promising applications in the field of micro- and nanoelectronics. Such applications may include devices such as the transistor or even the polariton laser, as reported in the scientific literature.
Aim. The paper analyzes the conditions for excitation of surface polaritons in a uniaxial crystal of the wurtzite type. The frequency dependence of the group velocity of surface polaritons is analyzed.
Methods. The dispersion equation for surface polaritons in an anisotropic wurtzite-type crystal is found analytically by solving Maxwell’s equations and requiring that the boundary conditions for electromagnetic waves decreasing exponentially from the boundary be satisfied.
Results. Aluminum nitride crystal AlN was chosen as the object of analysis. Possible frequencies of surface polaritons are found and it is shown that only the frequency satisfies all the conditions for the existence of surface polaritons. It is shown that in the region where a surface polariton exists, both the damping constants and the propagation parameters of surface polaritons increase. It is shown that the group velocity of a surface polariton decreases with increasing frequency. When the frequency reaches the value of the surface polariton frequency of the value the group velocity vanishes.
Conclusion. The found decreasing frequency dependence of the surface polariton group velocity can be used in moderating devices based on polaritons.
Entanglement between two charge qubits taking account the Kerr media
Abstract
Background. The need to implement controlled coupling between qubits, which are the logical elements of quantum devices such as quantum computers and quantum networks, requires, along with the use of traditional methods, the development of new, more effective ways to organize the interaction of qubits with the microwave fields of resonators used to generate and control the entanglement of qubits. As one of these methods, a method based on the influence of frequency-regulated radio frequency signals on a superconducting Josephson qubit connected by a large Josephson junction to a free qubit has been proposed.
Aim. The influence of the Kerr medium of the resonator, in which one of the two qubits is placed, on their entanglement induced by the coherent or thermal frequency-regulated radio frequency field of the resonator is considered.
Methods. To analyze the dynamics of the system under consideration, the solution of the quantum Liouville equation for the full density matrix is studied. An exact solution o this equation is found in the case of initial separable and entangled states of qubits. The exact solution of the evolution equation is used to calculate the criterion of qubit-qubit entanglement – cconcurrence. Numerical modeling of the concurrence was carried out for various states of qubits, coherent and thermal fields of the resonator, as well as various values of the intensity of the resonator field and the Kerr nonlinearity parameter.
Results. It is shown that for separable initial states of qubits, the inclusion of Kerr nonlinearity reduces the maximum degree of entanglement of qubits. For an entangled initial state of qubits, the possibility of creating long-lived entangled states in the presence of Kerr nonlinearity is shown.
Conclusion. The type of initial states of qubits and the range of values of the intensities of the resonator fields and the Kerr nonlinearity parameters have been established, for which the most effective control and operation of the evolution of qubits, as well as the degree of their entanglement, in the physical system under consideration, is possible.
Parametrical synthesis of various radio devices with the set quantity of cascades of type «the resistive two-port network – the nonlinear part»
Abstract
Background. Presence of possibility of analytical definition of a part of parametres of various radio devices, optimum by criterion of maintenance of preset values of modules and phases of transfer functions on necessary quantity of frequencies, considerably reduces time of numerical optimisation of other part of parametres by criterion of formation demanded PFC and FFC in a strip of frequencies. Till now such problems dared concerning radio devices only with one cascade of type «a nonlinear part - the coordination the device» or «the coordination the device - a nonlinear part». In quality the coordination devices were used the jet, resistive, complex or mixed two-port networks. The problem of multicascade radio devices with jet two-port networks is solved also. Change of basis for the coordination two-port networks and a place of inclusion of a nonlinear part leads to change of area of a physical realizability.
Aim. Working out of algorithms of parametrical synthesis of radio devices with any quantity of identical and unequal cascades of type «the coordination the resistive two-port network – a nonlinear part» by criterion of maintenance of the set frequency characteristics. Nonlinear parts are presented in the form of a nonlinear element and parallel either consecutive on a current or pressure of a feedback.
Methods. The theory of two-port networks, matrix algebra, a decomposition method, a method of synthesis of actuation microwave devices, numerical methods of optimisation.
Results. In interests of achievement of the specified purpose systems of the algebraic equations are generated and solved. Models of optimum two-port networks in the form of mathematical expressions for definition of interrelations between elements of their classical matrix of transfer and for search of dependences of resistance of two-poles from frequency are received. It is shown, that at certain parities between quantity of identical cascades and values of resistance of a source of a signal and loading of the one-cascade radio device frequency characteristics of one-cascade and multicascade radio devices appear identical or similar. Such schemes are named by equivalent. Use of unequal cascades leads to substantial growth of a working strip of frequencies.
Conclusion. The comparative analysis of theoretical results (PFC and FFC radio devices, value of parametres), received by mathematical modelling in system «MathCad», and the experimental results received by scheme modelling in systems «OrCad» and «MicroCap», shows their satisfactory coincidence.
Parametrical synthesis of various radio devices with the set quantity of cascades of type «the mixed two-port network – nonlinear part»
Abstract
Background. Presence of possibility of analytical definition of a part of parametres of various radio devices, optimum by criterion of maintenance of preset values of modules and phases of transfer functions on necessary quantity of frequencies, considerably reduces time of numerical optimisation of other part of parametres by criterion of formation demanded PFC and FFC in a strip of frequencies. Till now such problems dared concerning radio devices only with one cascade of type «a nonlinear part - the coordination the device» or «the coordination the device - a nonlinear part». In quality coordination devices were used the jet, resistive, complex or mixed two-port networks. The problem of multicascade radio devices with jet two-port networks is solved also. Change of basis for the coordination two-port networks and a place of inclusion of a nonlinear part leads to change of area of a physical realizability.
Aim. Working out of algorithms of parametrical synthesis of radio devices with any quantity of identical and unequal cascades of type «the coordination the mixed two-port network – a nonlinear part» by criterion of maintenance of the set frequency characteristics. Nonlinear parts are presented in the form of a nonlinear element and parallel either consecutive on a current or pressure of a feedback.
Methods. The theory of two-port networks, matrix algebra, a decomposition method, a method of synthesis of actuation microwave devices, numerical methods of optimisation.
Results. In interests of achievement of the specified purpose systems of the algebraic equations are generated and solved. Models of optimum two-port networks in the form of mathematical expressions for definition of interrelations between elements of their classical matrix of transfer and for search of dependences of mixed of two-poles from frequency are received. It is shown, that at certain parities between quantity of identical cascades and values of resistance of a source of a signal and loading of the one-cascade radio device frequency characteristics of one-cascade and multicascade radio devices appear identical or similar. Such schemes are named by equivalent. Use of unequal cascades leads to substantial growth of a working strip of frequencies.
Conclusion. The comparative analysis of theoretical results (PFC and FFC radio devices, value of parametres), received by mathematical modelling in system «MathCad», and the experimental results received by scheme modelling in systems «OrCad» and «MicroCap», shows their satisfactory coincidence.
Mathematical model of an antenna-waveguide path with signal separation by polarization – frequency
Abstract
Background. The need to create antenna-waveguide paths for multi-band reflector antennas of satellite communication systems requires the use of various methods for selecting the structure, determining and optimizing the parameters of antenna-waveguide paths.
Aim. Development of a mathematical model of antenna-waveguide paths of multi-band reflector antennas, built on the basis of the «polarization separation – frequency separation» method with the implementation of the auto-tracking function.
Methods. A mathematical model of antenna-waveguide paths of multi-band reflector antennas, built on the basis of the «polarization separation – frequency separation» method, allows us to determine the main characteristics of antenna-waveguide paths and incoming devices with an auto-tracking function.
Results. The main elements of the mathematical model of multi-band antenna-waveguide paths built on the basis of the «polarization separation – frequency separation» method are determined.
Conclusion. A mathematical model has been proposed that makes it possible to reduce the requirements for the computing tools used when developing antenna-waveguide paths in terms of RAM capacity and performance. The ability to analyze and determine the characteristics of antenna-waveguide paths using a mathematical model has been implemented. The stages of determining the parameters of antenna-waveguide paths are presented, based on the developed mathematical model of the corresponding design option, as well as theoretical and experimental data confirming the correctness of the model of antenna-waveguide paths.
Passive bandpass filters for modern microwave communication systems
Abstract
Background. Bandpass filters are an integral part of any radio engineering systems and modern communication systems. Research and development of new passive components is due to growing need for such elements for modernization and creation of new modern communication systems.
Aim. A brief overview of passive bandpass filters. Their classification according to the type of implementation is given.
Methods. Results of experimental research and design of different passive bandpass filters are considered.
Results. Lumped elements filters, microstrip filters, filters on high-temperature superconductor films, filter on dielectric resonators, surface acoustic wave filters, bulk acoustic wave filters are considered. At a qualitative level, the main advantages and disadvantages are considered from point of view of electrical parameters and size indicators. Examples of topological and constructive implementation are given.
Conclusion. The passive bandpass filters considered in the paper make it possible to implement frequency selection devices at operating frequencies up to 6 GHz and higher, taking into account modern system trends and requirements for devices of this type.
Antenna array of waveguide elements with dielectric phasing sections
Abstract
Background. The need to develop and continuously improve mobile and on–board high-speed satellite communication terminals, as well as satellite communication equipment with high secrecy of operation, emitting ultra-wideband signals, the spectral power density of which, measured at the input of receiving devices of radio monitoring complexes, should be significantly lower than the spectral power density of noise, is due to the following circumstances: ensuring reliable and high-quality communication military and civilian users; the development of the domestic element and technological base, import substitution; the need for rescue services in small-sized information transmission and reception systems; the need to develop satellite control systems for military and civilian equipment; the development of precision agriculture programs. An antenna array made of waveguide elements with dielectric phasing sections can serve as one such example.
Aim. The model of the antenna element is considered, and its main characteristics are also given. A model of a linear antenna array consisting of 32 waveguide elements with phasing sections has been developed. Linear and flat antenna arrays based on a common-mode and equal-amplitude 1:32 power divider and antenna elements are considered. A model of a flat antenna array composed of 16 linear antenna arrays is also constructed and its main characteristics are given.
Methods. The antenna element model is based on a circular waveguide with an internal diameter of 18 mm and a dielectric plate, the plane of which is oriented at an angle of 45° to the lines of force of the electric field intensity vector. The linear antenna array is powered by an equal amplitude and common-mode power divider, and the linear and flat antenna arrays are based on square waveguides with internal dimensions of 14×14 mm2 with beveled internal corners.
Results. It is shown that the gain at a frequency of 10,95 GHz is 32,5 dB (normal) and 31,2 dB when the beam is deflected by ±37,5° in the angular plane. The gain at a frequency of 11,7 GHz is 33,8 dB (normal) and 32,5 dB when the beam is deflected by ±37,5° in the angular plane. With the maximum deviation of the main lobe from the normal, the level of the side lobes in the vertical increases to the level of -11,4 dB, which slightly exceeds the UBL with in-phase and equal amplitude field distribution in the headlight aperture (-13,2 dB).
Conclusion. In the considered headlight design, the positioning of the main lobe of the radiation pattern in the azimuthal plane is carried out by mechanical rotation of the antenna system. The rejection of two–coordinate electronic scanning was chosen based on considerations of reducing phase shifters (or high-frequency switches) and reducing the cost of headlights.
Research of cognitive data processing in radio communication systems with permutation decoding
Abstract
Background. The need to use permutation decoding tools in radio communication systems is explained by the increased error correction capabilities of this method. In this case, complex matrix calculations during the search for equivalent codes according to the classical scheme of permutation decoding are replaced by a list of ready-made solutions. These solutions are calculated a priori and entered into the cognitive cards of the decoder processor, which makes the method a convenient tool in the procedure for ensuring information reliability when controlling, for example, unmanned vehicles via radio channels. In fact, matrix calculations on board are replaced by searching the list of cognitive maps for the right solution corresponding in real time to the current permutation of reliable character numerators. However, data processing in the decoder’s cognitive map requires a special description.
Aim. The study of methods for identifying permutations of character numerators of code vectors in order to effectively transform them in a system of cognitive maps of a permutation decoder.
Methods. The paper reveals the subtle structure of cognitive maps of productive and unproductive permutations of numerators, which allows on a regular basis to obtain an alternative solution for switching to a set of productive permutations when the receiver receives an unproductive permutation, thereby excluding the use of trial and error.
Results. The efficiency of the permutation decoder increases due to the implementation of permutations that were originally included in a set of solutions introduced into the cognitive map of unproductive permutations.
Conclusion. A family of microcontrollers is proposed to implement the principle of interaction of cognitive maps with a system of alternative solutions.