• Title/Summary/Keyword: ${\lambda}_2-Method$

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POSITIVE SOLUTION AND GROUND STATE SOLUTION FOR A KIRCHHOFF TYPE EQUATION WITH CRITICAL GROWTH

  • Chen, Caixia;Qian, Aixia
    • Bulletin of the Korean Mathematical Society
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    • v.59 no.4
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    • pp.961-977
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    • 2022
  • In this paper, we consider the following Kirchhoff type equation on the whole space $$\{-(a+b{\displaystyle\smashmargin{2}{\int\nolimits_{{\mathbb{R}}^3}}}\;{\mid}{\nabla}u{\mid}^2dx){\Delta}u=u^5+{\lambda}k(x)g(u),\;x{\in}{\mathbb{R}}^3,\\u{\in}{\mathcal{D}}^{1,2}({\mathbb{R}}^3),$$ where λ > 0 is a real number and k, g satisfy some conditions. We mainly investigate the existence of ground state solution via variational method and concentration-compactness principle.

Properties of Anti-S. mutans IgY Separated from Egg Yolk (난황으로 부터 항충치 항체의 분리 및 그 특성)

  • Shon, Dong-Hwa;Rho, Jeong-Hae;Kim, Young-Boong;Han, Chan-Kyu;Sung, Ki-Seong;Lee, Nam-Hyung
    • Korean Journal of Food Science and Technology
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    • v.30 no.5
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    • pp.1029-1034
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    • 1998
  • Chick antibodies (IgY) raised against Streptococcus mutans (serotype c) were separated from egg yolk and their properties were investigated. The purity of IgY extracts prepared by the method of ${\lambda}-carrageenan$, $gammaYolk^{TM}$, and $EGGstract^{TM}$ was 20%, 46%, and 48%, respectively, and the yields of IgY extracts from a gram yolk were 11. 3 mg, 1.7 mg, and 1.8mg, respectively. Quantitative immunoprecipitation test showed that specific IgY content of crude IgY prepared by ${\lambda}-carrageenan$ method was 12.2%, which means that 0.85 g of crude IgY from an egg yolk (15 g) contains about 100 mg of specific IgY. When the reactivity of the specific IgY towards 3 caries-inducing strains (serotype: b, c, f) was examined, the strains cultured in sucrose-added medium showed higher reactivity (the orders were c(+), f(+), b(+)) than those cultured in sucrose-free medium. Heat and pH stability of specific IgY was good, for crude IgY contained 50% of antibody activity after heat treatment at $70^{\circ}C$ for 5 min and they were stable at pH $4{\sim}8$.

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Experimental Study on the Flow Characteristics of Sinusoidal Nozzle Jet (정현파 형상 노즐 제트의 유동특성에 관한 실험적 연구)

  • Kim, Hak-Lim;Rajagopalan, S.;Lee, Sang-Joon
    • Journal of the Korean Society of Visualization
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    • v.7 no.2
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    • pp.28-34
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    • 2010
  • Two turbulent jet with different sinusoidal nozzle exit configurations of in-phase and $180^{\circ}$ out-of-phase were investigated experimentally using a smoke-wire method and a hot-wire anemometry. Mean velocity and turbulence intensity were measured at several downstream locations under $Re_D\;=\;5000$. For the case of in-phase nozzle configuration, the length of potential core exhibits negligible difference with respect to the transverse locations (0, $\lambda/4$ and $\lambda/2$), similar to that of a plane jet. On the other hand, a maximum difference of 30% in the potential-core length occurs for the $180^{\circ}$ out-of-phase configuration. The spatial distributions of turbulence intensities also show significant difference for the nozzle of $180^{\circ}$ out-of-phase, whereas non-symmetric distribution is observed in the near-exit region(x/D = 1) for the in-phase sinusoidal nozzle jet. Compared to a slit planc jet, the sinusoidal nozzle jets seem to suppress the velocity deficit as the flow goes downstream. The sinusoidal nozzle jet was found to decrease turbulent intensity dramatically. The flow visualization results show that the flow characteristics of the sinusoidal nozzle jet are quite different from those of the slit plane jet.

Plasmonic Nanosheet towards Biosensing Applications

  • Tamada, Kaoru
    • Proceedings of the Korean Vacuum Society Conference
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    • 2013.02a
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    • pp.105-106
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    • 2013
  • Surface plasmon resonance (SPR) is classified into the propagating surface plasmon (PSP) excited on flat metal surfaces and the local surface plasmon (LSP) excited by metalnanoparticles. It is known that fluorescence signals are enhanced by these two SPR-fields.On the other hand, fluorescence is quenched by the energy transfer to metal (FRET). Bothphenomena are controlled by the distance between dyes and metals, and the degree offluorescence enhancement is determined by the correlation. In this study, we determined thecondition to achieve the maximum fluorescence enhancement by adjusting the distance of ametal nanoparticle 2D sheet and a quantum dots 2D sheet by the use of $SiO_2$ spacer layers. The 2D sheets consisting of myristate-capped Ag nanoparticles (AgMy nanosheets) wereprepared at the air-water interface and transferred onto hydrophobized gold thin films basedon the Langmuir-Schaefer (LS) method [1]. The $SiO_2$ sputtered films with different thickness (0~100 nm) were deposited on the AgMy nanosheet as an insulator. TOPO-cappedCdSe/CdZnS/ZnS quantum dots (QDs, ${\lambda}Ex=638nm$) [2] were also transferred onto the $SiO_2$ films by the LS method. The layered structure is schematically shown in Fig. 1. The result of fluorescence measurement is shown in Fig. 2. Without the $SiO_2$ layer, the fluorescence intensity of the layered QD film was lower than that of the original QDs layer, i.e., the quenching by FRET was predominant. When the $SiO_2$ thickness was increased, the fluorescence intensity of the layered QD film was higher than that of the original QDs layer, i.e., the SPR enhancement was predominant. The fluorescence intensity was maximal at the $SiO_2$ thickness of 20 nm, particularly when the LSPR absorption wavelength (${\lambda}=480nm$) was utilized for the excitation. This plasmonic nanosheet can be integrated intogreen or bio-devices as the creation point ofenhanced LSPR field.

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The fabrication and the analysis on a communication device for bilateral (양방향 통신 장치 제작 및 분석)

  • You, Il-hyun
    • Journal of Convergence for Information Technology
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    • v.8 no.2
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    • pp.83-90
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    • 2018
  • We have studied the optimal conditions for design and development on the communication device for a bilateral, and it's electrodes for transmitting electric signal are constructed on the $36^{\circ}$ rotated $LiTaO_3$ substrate by evaporating Al-Cu(W 30%) alloy. At first, we manufactured three kind of samples using this method, and selected two samples as similar with frequency, ripple and passband characteristics, and then we connect two samples by series in order to make bilateral devices. As results, we obtained that the electrode structure has better characteristics then the others, when it's width of reflector and electrode are $1{\lambda}/4$, $1{\lambda}/12$ respectively, and it's frequency is approximately 190.3MHz. Near future, I hope to help the manufacture for communication devices for the multi-channel and the duplex filter.

Transparent MWCNT Thin Films Fabricated by using the Spray Method (스프레이법으로 제작된 투명 MWCNT 박막)

  • Jang, Kyung-Uk
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.23 no.4
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    • pp.338-342
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    • 2010
  • Carbon nanotubes (CNTs) have excellent electrical, chemical stability, mechanical and thermal properties. The MWCNT films were investigated as a transparent electrode for the solar cell, OLED, and field-emission display. MWCNT films were fabricated by air spray method, whose process is quite low-costed, using the multi-walled CNTs solution on glass substrates. Moreover, the most stable film was fabricated when the spraying time was 60 sec. The film that was sprayed with the MWCNT dispersion for 60 sec, has 300nm thick. And its electric resistivity, transmittance rate, mobility and carrier concentration are $6{\times}10^{-2}{\Omega}{\cdot}cm$, 50% at ${\lambda}=550mm$, $4.3{\times}10^{-2}cm^2/V{\cdot}s$ and $2.1{\times}10^{21}cm^{-3}$, respectively. Also, absorption energy of MWCNT films show from 3.9 eV to 4.6 eV. Furthermore, we can use MWCNT films fabricated by the spray method for the transparent electrode.

Data Convergence of circular Array Correlative Interferometer Direction Finding with 7-Antenna (7-안테나로 구성된 원형배열 상관형 위상비교 방향탐지의 데이터 융합)

  • Lim, Joong-Soo
    • Journal of the Korea Convergence Society
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    • v.8 no.1
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    • pp.1-6
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    • 2017
  • In this paper, we propose a new method for a correlative phase comparison direction finding(DF) which detects the arrival direction of radio waves by data fusing the calculated phase difference and the measured phase difference between the antennas when the radio waves are incident on the circular array antenna composed of 7 antennas respectively. The correlation type phase comparison method uses a uniform circular array(UCA) and a linear array method. The phase difference data calculated formally and the phase difference data measured in the test environment are fused with a correlation function, therefore, it is superior to the currently used phase comparison direction detection method. When the signal-to-noise ratio (SNR) of the received signal is 20dB and the inter-antenna distance to the wavelength of the received signal($L/{\lambda}$) is 0.5, the accuracy of the correlative DF is $1.7^{\circ}$ while measurement phase comparison's is larger than $2.5^{\circ}$, It can be used for electromagnetic signal monitoring and military direction detection.

The average ray crossing position and the best focus (광선 교차점 평균과 최적초점)

  • 심상현;박성종;정창섭
    • Korean Journal of Optics and Photonics
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    • v.7 no.4
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    • pp.299-304
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    • 1996
  • We numerically determined the direction of ray and the average ray-crossing position from the shape of the wavefront on the exit pupil of optical system which had aberrations and apodized aperture. This position was calculated easier and closer to the position of the maximum intensity than that calculated by Safa's method when the aberration is greater than about 2λ.

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Absolute Configuration of p-Substituted Benzoates of Panaxynol

  • Shim, Sang-Chul;Koh, Hun-Yeong;Chang, Suk-Ku;Moon, Soon-Ku;Min, Tae-Jin
    • Bulletin of the Korean Chemical Society
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    • v.7 no.2
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    • pp.106-108
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    • 1986
  • Exciton chirality method was applied for the determination of absolute configuration of panaxynol, a poly-yne compound from Panax ginseng roots for the first time. The circular dichroic spectra of panaxynol benzoates show the negative chirality at ${\lambda}_{ext}$, indicating the S configuration of C-3 chiral center.

A Polarization-based Frequency Scanning Interferometer and the Measurement Processing Acceleration based on Parallel Programing (편광 기반 주파수 스캐닝 간섭 시스템 및 병렬 프로그래밍 기반 측정 고속화)

  • Lee, Seung Hyun;Kim, Min Young
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.8
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    • pp.253-263
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    • 2013
  • Frequency Scanning Interferometry(FSI) system, one of the most promising optical surface measurement techniques, generally results in superior optical performance comparing with other 3-dimensional measuring methods as its hardware structure is fixed in operation and only the light frequency is scanned in a specific spectral band without vertical scanning of the target surface or the objective lens. FSI system collects a set of images of interference fringe by changing the frequency of light source. After that, it transforms intensity data of acquired image into frequency information, and calculates the height profile of target objects with the help of frequency analysis based on Fast Fourier Transform(FFT). However, it still suffers from optical noise on target surfaces and relatively long processing time due to the number of images acquired in frequency scanning phase. 1) a Polarization-based Frequency Scanning Interferometry(PFSI) is proposed for optical noise robustness. It consists of tunable laser for light source, ${\lambda}/4$ plate in front of reference mirror, ${\lambda}/4$ plate in front of target object, polarizing beam splitter, polarizer in front of image sensor, polarizer in front of the fiber coupled light source, ${\lambda}/2$ plate between PBS and polarizer of the light source. Using the proposed system, we can solve the problem of fringe image with low contrast by using polarization technique. Also, we can control light distribution of object beam and reference beam. 2) the signal processing acceleration method is proposed for PFSI, based on parallel processing architecture, which consists of parallel processing hardware and software such as Graphic Processing Unit(GPU) and Compute Unified Device Architecture(CUDA). As a result, the processing time reaches into tact time level of real-time processing. Finally, the proposed system is evaluated in terms of accuracy and processing speed through a series of experiment and the obtained results show the effectiveness of the proposed system and method.