• Title/Summary/Keyword: Lebedev

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SOME CLASSES OF INTEGRAL EQUATIONS OF CONVOLUTIONS-PAIR GENERATED BY THE KONTOROVICH-LEBEDEV, LAPLACE AND FOURIER TRANSFORMS

  • Tuan, Trinh
    • Communications of the Korean Mathematical Society
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    • v.36 no.3
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    • pp.485-494
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    • 2021
  • In this article, we prove the existence of a solution to some classes of integral equations of generalized convolution type generated by the Kontorovich-Lebedev (K) transform, the Laplace (𝓛) transform and the Fourier (F) transform in some appropriate function spaces and represent it in a closed form.

Design of Multichannel Spherical Loudspeaker Array for the Spatial Sound Manipulation (소리의 공간 제어를 위한 구형 다채널 스피커 어레이 설계)

  • Kang, Dong-Soo;Choi, Jung-Woo;Lee, Jung-Min;Kim, Yang-Hann
    • The Journal of the Acoustical Society of Korea
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    • v.31 no.4
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    • pp.214-224
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    • 2012
  • The objective of this paper is to design multichannel spherical loudspeaker array by considering various positioning methods such as Gaussian grid, Lebedev grid and packing method. For the spatial sound manipulation, which is to make desired sound field by controling multiple sound sources, the Kirchhoff- Helmholtz integral states that sound fields can be reproduced in terms of infinite control sources on the integral surface. But since we cannot control infinite number of sources for the implementation, we have to allocate finite number of sound sources which can approximately act as infinite number of sources. To manipulate sound field inside of a sphere (which is typical example of three dimensional array) by controlling sound sources on the surface, three methods of allocating sound sources, which are Gaussian grid, Lebedev grid and packing method, are reviewed. For each geometry, the performances of manipulation rendered by time-reversal operator and higher-order ambisonics are compared.

The First Multi-Frequency Synthesis Space-VLBI Observations of 0059+581 with Radioastron

  • Alexey Rudnitskiy;Mikhail Shchurov;Taehyun Jung;Marcello Giroletti
    • Journal of The Korean Astronomical Society
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    • v.56 no.1
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    • pp.91-96
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    • 2023
  • In this paper, we describe the first multi-frequency synthesis observations of blazar 0059+581 made with the Radioastron space-ground interferometer in conjunction with the Korean VLBI Network (KVN), Medicina and Torun ground telescopes. We conducted these observations to assess the spaceground interferometer multi-frequency mode capability for the first time.

H-Polarized Scattering by an Inversely Tapered Resistive Half Plane (반비례적으로 변하는 저항율을 갖는 반평면에 의한 H 분극산란)

  • Yang, Seung-In;Ra, Jung-Woong
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.7
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    • pp.1-7
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    • 1989
  • For H-polarized incident plane wave, an exact integral expression for the scattered field by an inversely tapered resistive half plane is obtained by using Kontorovich-Lebedev transform. Uniform asymptotic results available for all angles are obtained, and non-uniform asymptotic results which provide the ray-optical interpretation of the calculated scattered field are also obtained. The edge diffraction patterns for several values of inverse proportionality of resistivity are shown. We find out that the results are in agreement with physical reasoning.

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Design of a Novel Integrated L-C-T for PSFB ZVS Converters

  • Tian, Jiashen;Gao, Junxia;Zhang, Yiming
    • Journal of Power Electronics
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    • v.17 no.4
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    • pp.905-913
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    • 2017
  • To enhance the zero-voltage switching (ZVS) range and power density of the phase-shift full-bridge (PSFB) ZVS converters used in geophysical exploration, an additional resonant inductor is used as a leakage inductance and a blocking capacitor which is equivalent to interlayer capacitance is integrated into a novel integrated inductor-capacitor-transformer (L-C-T). The leakage inductance and equivalent interlayer capacitance of the novel integrated L-C-T are difficult to determine by conventional methods. To address this issue, this paper presents accurate and efficient methods to compute the leakage inductance and equivalent interlayer capacitance. Moreover, the accuracy of this methodology, which is based on electromagnetic energy and Lebedev's method, is verified by an experimental analysis and a finite element analysis (FEA). Taking the problems of the novel integrated L-C-T into consideration, the losses of the integrated L-C-T are analyzed and the temperature rise of the integrated L-C-T is determined by FEA. Finally, a PSFB ZVS converter prototype with the novel integrated L-C-T is designed and tested.

Calculation of Leakage Inductance of Integrated Magnetic Transformer with Separated Secondary Winding Used in ZVS PSFB Converter

  • Tian, Jiashen;Zhang, Yiming;Ren, Xiguo;Wang, Xuhong;Tao, Haijun
    • Journal of Magnetics
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    • v.21 no.4
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    • pp.644-651
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    • 2016
  • A novel zero voltage switching (ZVS) phase shift full bridge (PSFB) converter used in geophysical exploration is proposed in this paper. To extend the ZVS ranges and increase power density of the converter, external inductor acting as leakage inductance is applied and integrated into the integrated magnetic (IM) transformer with separated secondary winding. Moreover, the loss of ZVS PSFB converter is also decreased. Besides, the analysis and accurate prediction methodology of the leakage inductance of the IM transformer are proposed, which are based on magnetic energy and Lebedev. Finally, to verify the accuracy of analysis and methodology, the experimental and finite element analysis (FEA) results of IM transformer and 40 kW converter prototypes are given.

Metal-Polymer Composites and their Characterization

  • Lebedev, S.M.;Gefle, O.S.;Semenikhin, M.V.
    • Journal of Powder Materials
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    • v.18 no.2
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    • pp.181-187
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    • 2011
  • PVDF was used as a polymeric matrix material in this work. Nickel powders with average particles size of 200 nm or 72 nm were used as fillers. PVDF/metal submicro- and nanocomposites were prepared by means of a mixing in twin screw extruder and planetary ball mill, respectively. All samples were prepared by hot pressing method. Their electrical, thermal and morphological properties were examined by dielectric spectroscopy, DSC, FTIR, XRD, optical microscopy and scanning electron microscopy. It was found that all properties of composites were strongly modified depending on the content of metal powders and filler particles size. Particularly, specific volume resistivity of PVDF/Ni composite with 0.2 wt.% of Ni was increased by factor of 1.5~4.

BOUNDEDNESS AND INVERSION PROPERTIES OF CERTAIN CONVOLUTION TRANSFORMS

  • Yakubovich, Semyon-B.
    • Journal of the Korean Mathematical Society
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    • v.40 no.6
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    • pp.999-1014
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    • 2003
  • For a fixed function h we deal with a class of convolution transforms $f\;{\rightarrow}\;f\;*\;h$, where $(f\;*\;h)(x)\;=\frac{1}{2x}\;{\int_{{R_{+}}^2}}^{e^1{\frac{1}{2}}(x\frac{u^2+y^2}{uy}+\frac{yu}{x})}\;f(u)h(y)dudy,\;x\;\in\;R_{+}$ as integral operators $L_p(R_{+};xdx)\;\rightarrow\;L_r(R_{+};xdx),\;p,\;r\;{\geq}\;1$. The Young type inequality is proved. Boundedness properties are investigated. Certain examples of these operators are considered and inversion formulas in $L_2(R_{+};xdx)$ are obtained.

CLIMATIC TRENDS OF SOME PARAMETERS OF THE SOUTHERN OCEAN DERIVED FROM REMOTE SENSING DATA

  • Lebedev, S.A.
    • Proceedings of the KSRS Conference
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    • v.2
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    • pp.1023-1026
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    • 2006
  • As it was shown recently, climate changes in Antarctica resulted in interannual trends of some climatic parameters like sea level pressure, surface air temperature, ice thickness and others. These tendencies have effect on the Southern Ocean meteorological and hydrological regime. The following remote sensing data: AVHRR MCSST data, satellite altimetry data (merged data of mission ERS-2, TOPEX/Poseidon, Jason-1, ENVISAT, GFO-1) are used to analyse the interannual and/or climatic tendency of sea surface temperature (SST) and sea level anomaly (SLA). According to the obtained results, SST has negative trend $-0.02{\pm}0.003^{\circ}C/yr$ for 24-yr record (1982-2005) and SLA has positive trend $0.01{\pm}0.005$ cm/yr for 24-yr record (1982-2005) and $0.24{\pm}0.026$ cm/yr for 12-yr record (1993-2005). However in some areas (for example, Pacific-Antarctic Ridge) SST and SLA tendencies are stronger $-0.065{\pm}0.007^{\circ}C/yr$ and $-0.21{\pm}0.05$ cm/yr, respectively.

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Pilot observations of VLBI fringe survey at 43 GHz using VERA

  • Oh, Jung-Hwan;Lee, Sang-Sung;Honma, Mareki;Kovalev, Y.Y.;Petrov, Leonid;Sohn, Bong-Won
    • The Bulletin of The Korean Astronomical Society
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    • v.36 no.2
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    • pp.60.1-60.1
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    • 2011
  • We present the preliminary results of the pilot observations for the fringe survey at 43 GHz with the VLBI Exploration of Radio Astrometry (VERA). The main goals of the fringe survey are to establish a full list of phase calibrators for the VERA dual-beam astrometric observations, and for the KVN multi-frequency phase referencing observations. We performed two 24 hours experiments as a pilot observation to test the feasibility of the fringe survey. Each source from a list of 220 sources has been observed in one scan for 2 minutes. 67 sources were detected with the SNR threshold of 3.5. The correlated flux densities of the detected sources are presented in four ranges of projected baseline lengths.

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