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Papers by Sergey Tkachenko
2021 IEEE International Joint EMC/SI/PI and EMC Europe Symposium, 2021
The previously developed Method of Modal Parameters (MoMP) was applied to calculate the Singulari... more The previously developed Method of Modal Parameters (MoMP) was applied to calculate the Singularity Expansion Method (SEM) poles of the single and double wire segments with symmetrical geometry: straight wire, circular wire, and helix wire, which are important for EMC practice. The symmetry leads to the simplification of the corresponding formulas for matrix elements and allows to obtain SEM poles of the first, second and third layers, which correspond both to the known analytical results and numerical data. Moreover, for the first layer of the poles one can use a simplified variant of the method taking into account only diagonal elements of the p.u.l. impedance matrix.
Advances in Radio Science, 2019
Advances in Radio Science, 2015
It is well known from classical transmission line theory, that transmission lines can be folded i... more It is well known from classical transmission line theory, that transmission lines can be folded into impedances and thereby used in an electrical network setting. But it is also possible to create large networks of transmission lines consisting of tubes and junctions. The tubes contain the transmission lines and the junctions consider the mutual influences of the adjacent tubes or the terminals. The calculation of the currents and voltages at the junctions can be performed with the help the BLT-equation. So far this method is not applicable for nonuniform transmission lines described in a full wave method, because the lack of a distinct voltage gives no possibility for junctions. Junctions only make sense, when the considered network offers the possibility to propagate a TEM-Mode. If this requirement is fullfilled, nonuniform transmission lines could be included in an electrical network. This approach is validated in this paper in form of numerical simulations as well as measurements.
2021 Asia-Pacific International Symposium on Electromagnetic Compatibility (APEMC), 2021
This paper presents a network model of a field-coupled conductor over a perfectly conducting grou... more This paper presents a network model of a field-coupled conductor over a perfectly conducting ground plane. The model was developed from the scattered voltage formulation for field coupling on transmission lines and can be implemented directly in SPICE programs. With this model, a field coupling test can be carried out in which the voltage response of an incident plane wave can be calculated. The model can be used in the time and frequency domain. The validation was carried out by comparing the results with those of field simulations.
IEEE Transactions on Antennas and Propagation, 2019
In diesem Beitrag wurde ein neues Verfahren zur Berechnung des eingekoppelten Stromes in einen Vo... more In diesem Beitrag wurde ein neues Verfahren zur Berechnung des eingekoppelten Stromes in einen Volumenleiter vorgestellt, das auf der asymptotischen Annäherungsmethode und der Methode der kleinsten Quadrate beruht. Als Anregung wurde eine ebene Welle angenommen. Um solche Problemstellungen zu untersuchen, existierte bisher nur eine verallgemeinerte Leitungstheorie mit modalen Parametern oder die Möglichkeit der numerischen Simulation. Der Vorteil der vorgestellten asymptotischen Annäherungsmethode ist offensichtlich, da die Streuungskoeffizienten unabhängig von der Leitungslänge sind. Daher ist es relativ einfach, die Berechnung der Streuungskoeffizienten für eine relativ lange Leitung, basierend auf den Ergebnissen von kurzen Leitungen, durchzuführen. Die beschreibende Integralgleichung mit gemischten Potentialen braucht nur über eine verminderte Konfiguration gelöst werden, wodurch man eine kurze Rechenzeit und kleine Speicheranforderungen erzielt [Farhad Rachidi, Sergey Tkachenko...
In diesem Beitrag wurde ein neues Verfahren zur Berechnung des eingekoppelten Stromes in einen Vo... more In diesem Beitrag wurde ein neues Verfahren zur Berechnung des eingekoppelten Stromes in einen Volumenleiter vorgestellt, das auf der asymptotischen Annäherungsmethode und der Methode der kleinsten Quadrate beruht. Als Anregung wurde eine ebene Welle angenommen. Um solche Problemstellungen zu untersuchen, existierte bisher nur eine verallgemeinerte Leitungstheorie mit modalen Parametern oder die Möglichkeit der numerischen Simulation. Der Vorteil der vorgestellten asymptotischen Annäherungsmethode ist offensichtlich, da die Streuungskoeffizienten unabhängig von der Leitungslänge sind. Daher ist es relativ einfach, die Berechnung der Streuungskoeffizienten für eine relativ lange Leitung, basierend auf den Ergebnissen von kurzen Leitungen, durchzuführen. Die beschreibende Integralgleichung mit gemischten Potentialen braucht nur über eine verminderte Konfiguration gelöst werden, wodurch man eine kurze Rechenzeit und kleine Speicheranforderungen erzielt [Farhad Rachidi, Sergey Tkachenko...
IEEE Transactions on Antennas and Propagation, 2019
IEEE Transactions on Electromagnetic Compatibility, 2009
Advances in Radio Science, 2015
Apertures in shielding enclosures are an important issue for determining shielding efficiencies. ... more Apertures in shielding enclosures are an important issue for determining shielding efficiencies. Various mathematical procedures and theories were employed to describe the coupling between the regions connected via an aperture in a well conducting plane. Bethe's theory describes the coupling via the equivalent problem of field excited dipole moments at the location of the aperture. This approach neglects the reaction of the dipole moments on the exciting field and therefore violates energy conservation. This work emphasizes an analytical approach for coupling between half-spaces through small apertures, inspired by the so called <i>method of small antenna</i>, which allows an understandable generalization of Bethe's theory.
Springer Proceedings in Physics, 2006
The interaction of a two-wire transmission line with an incident electromagnetic field is investi... more The interaction of a two-wire transmission line with an incident electromagnetic field is investigated. It is shown that previous models, based on the reaction concept and the principle of reciprocity, can be extended to allow for the quantification of the induced currents and voltages at the transmission line terminations in the general case where the transmission line is unbalanced.
Advances in Radio Science, 2016
The homogeneous problem of current propagation along a thin wire of arbitrary geometric form near... more The homogeneous problem of current propagation along a thin wire of arbitrary geometric form near ground is reduced use of the Full-Wave Transmission Line Theory [8-10] to a Schrödinger-like differential equation, with a “potential ” depending on both the geometry of the wire and frequency. The “potential ” is a complex – valued quantity that corresponds to either radiation losses in the framework of electrodynamics or to the absorption of particles in the framework of quantum mechanics. If the wire structure is quasi periodical, i.e., it consists of a finite number of identical sections, the “potential ” can be approximately represented as a set of periodically arranged identical potentials. We use the formalism of transfer matrices and find an analytical expression for the transmission coefficient of the finite number of periodically located non-uniformities which also contains the scattering data of one nonuniformity. The obtained result yields the possibility to investigate forb...
The integral-differential equation for the current of an electrically small antenna, inside a res... more The integral-differential equation for the current of an electrically small antenna, inside a resonator, which is induced by given sources, is approximately solved by the so-called "Method of Small Antenna," both for dipole and loop antennas. The current induced in the antenna is evaluated using the scattering characteristics of small antennas in free space and regularized Green's function of resonator. As example of application of the theory, a transfer function ("external field → induced voltage") for the coupling through aperture is calculated.
Mathematical Problems in Engineering
The Full Wave Transmission Line Theory (FWTL) generalizes the classical Transmission Line approxi... more The Full Wave Transmission Line Theory (FWTL) generalizes the classical Transmission Line approximation (TL) for high frequencies when radiation effects occur. In the present paper we develop the FWTL for a homogeneous line with two lumped sources. For this case the calculation can be curried out in explicit form, and it becomes possible to install the connection between the parameters of the FWTL and the current modes (TEM mode, leaky modes and radiation mode) which arise near the line non-uniformities (lumped sources).
In this paper, electromagnetic quantities (such as currents and voltages on irradiated transmissi... more In this paper, electromagnetic quantities (such as currents and voltages on irradiated transmission lines and electromagnetic fields) are described in time domain, as they typically occur in resonant systems. Electric oscillating circuits, transmission lines, and cavity resonators are considered resonators. It turns out that for realistic high-frequency pulsed excitations all systems show transients with amplitudes that greatly exceed those of the steady state. Furthermore, pronounced beat effects can be seen, which may have implications especially in the interaction with non-linear electronic components (demodulation). Experiments show that those transients can disrupt or even destroy digital electronics. This is a phenomenon that is often ignored in conventional EMC testing. ______________________________________________________ This work was sponsored by the German Federal Armed Forces Research Institute for Protection Technologies (WIS), Munster.
2021 IEEE International Joint EMC/SI/PI and EMC Europe Symposium, 2021
The previously developed Method of Modal Parameters (MoMP) was applied to calculate the Singulari... more The previously developed Method of Modal Parameters (MoMP) was applied to calculate the Singularity Expansion Method (SEM) poles of the single and double wire segments with symmetrical geometry: straight wire, circular wire, and helix wire, which are important for EMC practice. The symmetry leads to the simplification of the corresponding formulas for matrix elements and allows to obtain SEM poles of the first, second and third layers, which correspond both to the known analytical results and numerical data. Moreover, for the first layer of the poles one can use a simplified variant of the method taking into account only diagonal elements of the p.u.l. impedance matrix.
Advances in Radio Science, 2019
Advances in Radio Science, 2015
It is well known from classical transmission line theory, that transmission lines can be folded i... more It is well known from classical transmission line theory, that transmission lines can be folded into impedances and thereby used in an electrical network setting. But it is also possible to create large networks of transmission lines consisting of tubes and junctions. The tubes contain the transmission lines and the junctions consider the mutual influences of the adjacent tubes or the terminals. The calculation of the currents and voltages at the junctions can be performed with the help the BLT-equation. So far this method is not applicable for nonuniform transmission lines described in a full wave method, because the lack of a distinct voltage gives no possibility for junctions. Junctions only make sense, when the considered network offers the possibility to propagate a TEM-Mode. If this requirement is fullfilled, nonuniform transmission lines could be included in an electrical network. This approach is validated in this paper in form of numerical simulations as well as measurements.
2021 Asia-Pacific International Symposium on Electromagnetic Compatibility (APEMC), 2021
This paper presents a network model of a field-coupled conductor over a perfectly conducting grou... more This paper presents a network model of a field-coupled conductor over a perfectly conducting ground plane. The model was developed from the scattered voltage formulation for field coupling on transmission lines and can be implemented directly in SPICE programs. With this model, a field coupling test can be carried out in which the voltage response of an incident plane wave can be calculated. The model can be used in the time and frequency domain. The validation was carried out by comparing the results with those of field simulations.
IEEE Transactions on Antennas and Propagation, 2019
In diesem Beitrag wurde ein neues Verfahren zur Berechnung des eingekoppelten Stromes in einen Vo... more In diesem Beitrag wurde ein neues Verfahren zur Berechnung des eingekoppelten Stromes in einen Volumenleiter vorgestellt, das auf der asymptotischen Annäherungsmethode und der Methode der kleinsten Quadrate beruht. Als Anregung wurde eine ebene Welle angenommen. Um solche Problemstellungen zu untersuchen, existierte bisher nur eine verallgemeinerte Leitungstheorie mit modalen Parametern oder die Möglichkeit der numerischen Simulation. Der Vorteil der vorgestellten asymptotischen Annäherungsmethode ist offensichtlich, da die Streuungskoeffizienten unabhängig von der Leitungslänge sind. Daher ist es relativ einfach, die Berechnung der Streuungskoeffizienten für eine relativ lange Leitung, basierend auf den Ergebnissen von kurzen Leitungen, durchzuführen. Die beschreibende Integralgleichung mit gemischten Potentialen braucht nur über eine verminderte Konfiguration gelöst werden, wodurch man eine kurze Rechenzeit und kleine Speicheranforderungen erzielt [Farhad Rachidi, Sergey Tkachenko...
In diesem Beitrag wurde ein neues Verfahren zur Berechnung des eingekoppelten Stromes in einen Vo... more In diesem Beitrag wurde ein neues Verfahren zur Berechnung des eingekoppelten Stromes in einen Volumenleiter vorgestellt, das auf der asymptotischen Annäherungsmethode und der Methode der kleinsten Quadrate beruht. Als Anregung wurde eine ebene Welle angenommen. Um solche Problemstellungen zu untersuchen, existierte bisher nur eine verallgemeinerte Leitungstheorie mit modalen Parametern oder die Möglichkeit der numerischen Simulation. Der Vorteil der vorgestellten asymptotischen Annäherungsmethode ist offensichtlich, da die Streuungskoeffizienten unabhängig von der Leitungslänge sind. Daher ist es relativ einfach, die Berechnung der Streuungskoeffizienten für eine relativ lange Leitung, basierend auf den Ergebnissen von kurzen Leitungen, durchzuführen. Die beschreibende Integralgleichung mit gemischten Potentialen braucht nur über eine verminderte Konfiguration gelöst werden, wodurch man eine kurze Rechenzeit und kleine Speicheranforderungen erzielt [Farhad Rachidi, Sergey Tkachenko...
IEEE Transactions on Antennas and Propagation, 2019
IEEE Transactions on Electromagnetic Compatibility, 2009
Advances in Radio Science, 2015
Apertures in shielding enclosures are an important issue for determining shielding efficiencies. ... more Apertures in shielding enclosures are an important issue for determining shielding efficiencies. Various mathematical procedures and theories were employed to describe the coupling between the regions connected via an aperture in a well conducting plane. Bethe's theory describes the coupling via the equivalent problem of field excited dipole moments at the location of the aperture. This approach neglects the reaction of the dipole moments on the exciting field and therefore violates energy conservation. This work emphasizes an analytical approach for coupling between half-spaces through small apertures, inspired by the so called <i>method of small antenna</i>, which allows an understandable generalization of Bethe's theory.
Springer Proceedings in Physics, 2006
The interaction of a two-wire transmission line with an incident electromagnetic field is investi... more The interaction of a two-wire transmission line with an incident electromagnetic field is investigated. It is shown that previous models, based on the reaction concept and the principle of reciprocity, can be extended to allow for the quantification of the induced currents and voltages at the transmission line terminations in the general case where the transmission line is unbalanced.
Advances in Radio Science, 2016
The homogeneous problem of current propagation along a thin wire of arbitrary geometric form near... more The homogeneous problem of current propagation along a thin wire of arbitrary geometric form near ground is reduced use of the Full-Wave Transmission Line Theory [8-10] to a Schrödinger-like differential equation, with a “potential ” depending on both the geometry of the wire and frequency. The “potential ” is a complex – valued quantity that corresponds to either radiation losses in the framework of electrodynamics or to the absorption of particles in the framework of quantum mechanics. If the wire structure is quasi periodical, i.e., it consists of a finite number of identical sections, the “potential ” can be approximately represented as a set of periodically arranged identical potentials. We use the formalism of transfer matrices and find an analytical expression for the transmission coefficient of the finite number of periodically located non-uniformities which also contains the scattering data of one nonuniformity. The obtained result yields the possibility to investigate forb...
The integral-differential equation for the current of an electrically small antenna, inside a res... more The integral-differential equation for the current of an electrically small antenna, inside a resonator, which is induced by given sources, is approximately solved by the so-called "Method of Small Antenna," both for dipole and loop antennas. The current induced in the antenna is evaluated using the scattering characteristics of small antennas in free space and regularized Green's function of resonator. As example of application of the theory, a transfer function ("external field → induced voltage") for the coupling through aperture is calculated.
Mathematical Problems in Engineering
The Full Wave Transmission Line Theory (FWTL) generalizes the classical Transmission Line approxi... more The Full Wave Transmission Line Theory (FWTL) generalizes the classical Transmission Line approximation (TL) for high frequencies when radiation effects occur. In the present paper we develop the FWTL for a homogeneous line with two lumped sources. For this case the calculation can be curried out in explicit form, and it becomes possible to install the connection between the parameters of the FWTL and the current modes (TEM mode, leaky modes and radiation mode) which arise near the line non-uniformities (lumped sources).
In this paper, electromagnetic quantities (such as currents and voltages on irradiated transmissi... more In this paper, electromagnetic quantities (such as currents and voltages on irradiated transmission lines and electromagnetic fields) are described in time domain, as they typically occur in resonant systems. Electric oscillating circuits, transmission lines, and cavity resonators are considered resonators. It turns out that for realistic high-frequency pulsed excitations all systems show transients with amplitudes that greatly exceed those of the steady state. Furthermore, pronounced beat effects can be seen, which may have implications especially in the interaction with non-linear electronic components (demodulation). Experiments show that those transients can disrupt or even destroy digital electronics. This is a phenomenon that is often ignored in conventional EMC testing. ______________________________________________________ This work was sponsored by the German Federal Armed Forces Research Institute for Protection Technologies (WIS), Munster.