• 제목/요약/키워드: Electron energy distribution functions

검색결과 14건 처리시간 0.027초

RF/마이크로웨이브 방전에서의 전자에너지 분포함수의 결정 (Determination of electron energy distribution functions in radio-frequency (RF) and microwave discharges)

  • 고욱희;박인호;김남춘
    • 한국진공학회지
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    • 제10권4호
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    • pp.424-430
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    • 2001
  • RF나 마이크로웨이브의 전기장이 작용될 때 플라즈마 방전에서의 전자에너지분포함수를 계산하기 위하여 전자 볼츠만 방정식을 수치적으로 푼다. 2차미분 방정식인 로렌츠근사를 사용하는 동차 전자 볼츠만 방정식과 적분-미분방정식인 입자균형방정식을 동시에 풀어 자체모순이 없게 방전 전기장의 크기를 결정한다. 이 수치코드를 이용하여 아르곤 방전에 대하여 전자에너지 분포함수를 RF와 마이크로파영역에 걸쳐 계산한다. 이로부터 전자에너지 분포함수와 이온화율에 대한 고주파 전기장의 주파수 변화에 따른 영향을 조사한다.

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Cl-based 유도결합 플라즈마의 전자에너지 분포함수 (Electron energy distribution functions in an inductively coupled a-based plasma)

  • 김관하;김창일;김동표;강영록
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2005년도 하계학술대회 논문집 Vol.6
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    • pp.91-91
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    • 2005
  • Electron energy distribution functions and plasma parameters such as electron temperature ($T_e$) and electron density ($n_e$) in low-pressure Cl-based plasmas have been measured. As the $Cl_2/A4$ gas mixing ratio, the $BCl_3$ gas addition and the process pressure increases, the electron energy probability and the electron temperature decreases. In case of source power increases, electron energy probability increases, whereas the electron temperature was not related.

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전자 Swarm법에 의한 $SiH_4$ 플라즈마의 전자이동속도 및 특성에너지 해석 (The Analysis of the Electron Drift Velocity and Characteristics Energy in $SiH_4$ Plasma gas by Electron Swarm method)

  • 이형윤;백승권;하성철
    • 한국전기전자재료학회논문지
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    • 제12권1호
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    • pp.88-93
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    • 1999
  • This paper describes the electron transport characteristics in $SiH_4$ gas calculated for the range of E/n:0.5~300(Td) and Pressure:0.5, 1, 2.5(Torr) by the Monte carlo simulation and Boltzmann equation method using a set of electron collision cross sections determined by the reported results. The motion has been calculated to give swarm parameters for the electron drift velocity, longitudinal and transverse diffusion coefficients, the electron ionization coefficients, characteristics energy and the electron energy distribution function. The electron energy distributions function has been analysed in $SiH_4$ at E/N: 30, 50(Td)for a case of the equilibrium region in the mean electron energy and respective set of electron collision cross sections. The results of Monte carlo simulation and Boltzmann equation have been compared with experimental data by ohmori ad Pollock.

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CF4, CH4, Ar 혼합기체의 전자 평균에너지 (Electron Mean Energy in CF4, CH4, Ar mixtures)

  • 김상남
    • 전기학회논문지P
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    • 제64권4호
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    • pp.241-245
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    • 2015
  • Energy Distribution Function in pure $CH_4$, $CF_4$ and mixtures of $CF_4$ and Ar, have been analyzed over a range of the reduced electric field strength between 0.1 and 350[Td] by the two-term approximation of the Boltzmann equation (BEq.) method and the Monte Carlo simulation (MCS). The calculations of electron swarm parameters require the knowledge of several collision cross-sections of electron beam. Thus, published momentum transfer, ionization, vibration, attachment, electronic excitation, and dissociation cross-sections of electrons for $CH_4$, $CF_4$ and Ar, were used. The differences of the transport coefficients of electrons in $CH_4$, mixtures of $CH_4$ and Ar, have been explained by the deduced energy distribution functions for electrons and the complete collision cross-sections for electrons. The results of the Boltzmann equation and the Monte Carlo simulation have been compared with the data presented by several workers. The deduced transport coefficients for electrons agree reasonably well with the experimental and simulation data obtained by Nakamura and Hayashi. The energy distribution function of electrons in $CF_4$-Ar mixtures shows the Maxwellian distribution for energy. That is, $f({\varepsilon})$ has the symmetrical shape whose axis of symmetry is a most probably energy.

$CF_4-Ar$ 혼합기체의 전자수송계수에 관한 연구 (Study on the Electron Transport Coefficient in Mixtures of $CF_4$ and Ar)

  • 김상남
    • 전기학회논문지P
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    • 제56권1호
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    • pp.1-5
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    • 2007
  • Study on the electron transport coefficient in mixtures of CF4 and Ar, have been analyzed over a range of the reduced electric field strength between 0.1 and 350[Td] by the two-term approximation of the Boltzmann equation (BEq.) method and the Monte Carlo simulation (MCS). The calculations of electron swarm parameters require the knowledge of several collision cross-sections of electron beam. Thus, published momentum transfer, ionization, vibration, attachment, electronic excitation, and dissociation cross-sections of electrons for $CF_4$ and Ar, were used. The differences of the transport coefficients of electrons in $CF_4$ mixtures of Ar, have been explained by the deduced energy distribution functions for electrons and the complete collision cross-sections for electrons. The results of the Boltzmann equation and the Monte Carlo simulation have been compared with the data presented by several workers. The deduced transport coefficients for electrons agree reasonably well with the experimental and simulation data obtained by Nakamura and Hayashi. The energy distribution function of electrons in $CF_4-Ar$ mixtures shows the Maxwellian distribution for energy. That is, $f({\varepsilon})$ has the symmetrical shape whose axis of symmetry is a most probably energy. The proposed theoretical simulation techniques in this work will be useful to predict the fundamental process of charged particles and the breakdown properties of gas mixtures. A two-term approximation of the Boltzmann equation analysis and Monte Carlo simulation have been used to study electron transport coefficients.

$SF_6$+Ar 혼합기체의 전리 및 부착계수에 관한 연구 (The Study on the Electron ionization and Attachment Coefficients in $SF_6$+Ar Mixtures Gas)

  • 김상남;하성철
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2000년도 추계학술대회 논문집
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    • pp.591-593
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    • 2000
  • In this paper, we describe the results of a combined experimental theoretical study designed to understand and predict the dielectric properties of SF$_{6}$ and SF$_{6}$+Ar mixtures. The electron transport, ionization, and attachment coefficients for pure SF$_{6}$ and gas mixtures containing SF$_{6}$ has been analysed over the E/N range 30~300[Td] by a two term Boltzmann equation and by a Monte Carlo Simulation using a set of electron cross sections determined by other authors, experimentally the electron swarm parameters for 0.2[%] and 0.5[%] SF$_{6}$+Ar mixtures were measured by time- of- flight method, The results show that the deduced electron drift velocities, the electron ionization or attachment coefficients, longitudinal and transverse diffusion coefficients and mean energy agree reasonably well with the experimental and theoretical for a rang of E/N values. Electron energy distribution functions computed from numerical solutions of the electron transport and reaction coefficients as functions of E/N. We have calculated $\alpha$,η and $\alpha$-η the ionization, attachment coefficients, effective ionization coefficients, and (E/N), the limiting breakdown electric-field to gas density ratio, in SF$_{6}$ and SF$_{6}$+Ar mixtures by numerically solving the Boltzmann equation for the electron energy distribution. The results obtained from Boltzmann equation method and Monte Carlo simulation have been compared with present and previously obtained data and respective set of electron collision cross sections of theections of the

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$SiH_4-Ar$ 혼합기체의 평균 에너지에 관한 연구 (Analysis of the Mean Energy in $SiH_4-Ar$ Mixture Gases)

  • 김상남
    • 전기학회논문지P
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    • 제55권2호
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    • pp.57-61
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    • 2006
  • This paper calculates and gives the analysis of mean energy in pure $SiH_4,\;Ar-SiH_4$ mixture gases ($SiH_4-0.5[%],\;5[%]$) over the range of $E/N =0.01{\sim}300[Td]$, p = 0.1, 1, 5.0 [Torr] by Monte Carlo the Backward prolongation method of the Boltzmann equation using computer simulation without using expensive equipment. The results have been obtained by using the electron collision cross sections by TOF, PT, SST sampling, compared with the experimental data determined by the other author. It also proved the reliability of the electron collision cross sections and shows the practical values of computer simulation. The calculations of electron swarm parameters require the knowledge of several collision cross-sections of electron beam. Thus, published momentum transfer, ionization, vibration, attachment, electronic excitation, and dissociation cross-sections of electrons for $SiH_4$ and Ar, were used. The differences of the transport coefficients of electrons in $SiH_4$, mixtures of $SiH_4$ and Ar, have been explained by the deduced energy distribution functions for electrons and the complete collision cross-sections for electrons. A two-term approximation of the Boltzmann equation analysis and Monte Carlo simulation have been used to study electron transport coefficients.

Prediction model for whistler chorus waves responsible for energetic electron acceleration and scattering

  • Kim, Jin-Hee;Lee, Dae-Young;Cho, Jung-Hee;Shin, Dae-Kyu
    • 천문학회보
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    • 제38권2호
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    • pp.94.1-94.1
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    • 2013
  • Whistler mode chorus waves, which are observed outside the plasmasphere of the Earth's magnetosphere, play a major role in accelerating and scattering energetic electrons in the radiation belts. In this study we developed a predicting scheme of the global distribution of chorus by using the Time History of Events and Macroscale Interactions during Substorms (THEMIS) satellite data. First, we determined global spatial distributions of chorus activity, and identified fit functions that best represent chorus intensities in specific L-MLT zones. Second, we determined the specific dependence of average chorus intensity on preceding solar wind conditions (e.g., solar wind speed, IMF Bz, energy coupling degree) as well as preceding geomagnetic states (as represented by AE, for example). Finally, we combined these two results to develop the predicting functions for the global distribution and intensity of chorus. Implementing these results in the radiation belt models should improve the local acceleration effect by chorus waves.

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The Influence of Radiation Trapping on the Metastable Population Density and Applications to Low-pressure Plasma

  • 이영광;오세진;정진욱
    • 한국진공학회:학술대회논문집
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    • 한국진공학회 2011년도 제40회 동계학술대회 초록집
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    • pp.245-246
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    • 2011
  • Emission lines ratios were used for diagnostics of and excited level densities in low-temperature plasmas. In this work, an optical emission spectroscopy (OES) was used to determine the electron temperature and metastable level densities in low-pressure inductively coupled plasma. The emission spectroscopy method was based on a simple collisional-radiative model. The selected lines of the Ar(4p to 4s) were influenced by the radiation trapping at relatively high pressures where the plasma become optically thick. To quantify this effect, a pressure dependence factor ${\alpha}$(P) was derived by using corrections for the measured intensities. It was found that the lower metastable level densities were obtained when ${\alpha}$(P) increased with the increasing discharge pressure. The effect of non-Maxwellian electron energy distribution functions (EEDFs) on the metastables was also presented and discussed.

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측정된 원통형 전리함 반응함수의 몬테카를로 시뮬레이션 보정 (The ionization chamber response function from the measured and the corrected by Monte Carlo simulation.)

  • 이병용;김미화;조병철;나상균;김종훈;최은경;장혜숙
    • 한국의학물리학회지:의학물리
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    • 제7권1호
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    • pp.9-17
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    • 1996
  • 방사선 측정기로 사용되는 원통형 전리함의 위치별 반응 함수를 좁은 방사선장에서 측정하였다. 광자선 에너지 4MV, 6MV, 15MV, 전리함 내경 0.5cm~3.05cm 인 전리함들에 대하여 방사선면의 크기를 0.2$\times$20$\textrm{cm}^2$로 하여 물속 10cm 깊이에서 전리함 반응함수를 측정하였다. 좁은 방사선면의 선량분포 profile 을 EGS4(Electron Gamma Shower 4) 몬테카를로 시뮬레이션 코드를 이용하여 계산하였고, 이 결과를 측정된 전리함의 반응 함수 값에서 되겹말림 (deconvolution) 기법으로 제거하여 순수하게 $\delta$함수 모양의 방사선장으로부터 측정된 반응함수로 보정하였다. 전리함 반응함수는 보정전에는 에너지에 따라 다르게 나타났으나 EGS4 계산으로 얻어진 선량분포 프로파일 (profile)을 보정한 결과 전리함 반응 함수는 에너지와 무관한 것으로 나타났다.

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