• 제목/요약/키워드: Schrodinger wave equation

검색결과 13건 처리시간 0.019초

랜덤 선로상의 광 국재현상에 관한 해석(1) : 해의 국재성에 대한 이론적 고찰 (Theoretical analysis of the lightwave localization phenomenon on the random transmission line (part 1) : localization characteristics of the solution of propagation equation)

  • 최영규
    • 한국광학회지
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    • 제14권4호
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    • pp.429-433
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    • 2003
  • 전파정수가 랜덤하게 분포하는 선로 상에서 파동함수의 해의 성질을 고찰함으로써 랜덤한 매질 내의 파동의 국재현상에 대한 이론적 해석을 시도하였다 파동의 국재는 함수의 해가 증대에서 감쇠로 전환하는 과정에서 발생하므로, 먼저 파동의 증대가 감쇠로 전환되는 과정을 이론적으로 규명하기 위하여 2차 파동방정식을 Bragg조건 등을 이용하여 근사적으로 1차 슐뢰딩거의 방정식의 형태로 유도하였다. 그리고 이 방정식이 취할 수 있는 여러 가지 해의 성질과 그 해가 성립하기 위한 조건에 대하여 고찰하였으며, 파동방정식의 해의 국재성과 전파정수의 변동에 대한 관계에 대하여 몇 가지 조건을 조사하였다. 지수형의 해에서 유전율이 $\varepsilon$=(0,0,$\varepsilon$$_{0}$)인 경우 $\varepsilon$$_{0}$는 파동의 위상에 관여하여 국재현상을 일으키는 요소가 된다는 것을 확인하였다.

Coherent Control of Autler-Townes Splitting in Photoelectron Spectroscopy: The Effect of Laser Intensity and Laser Envelope

  • Qin, Chaochao;Zhai, Hongsheng;Zhang, Xianzhou;Liu, Yufang
    • Bulletin of the Korean Chemical Society
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    • 제35권11호
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    • pp.3294-3298
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    • 2014
  • We theoretically investigated the coherent control of Autler-Townes splitting in photoelectron spectroscopy of K2 molecule within an ultrafast laser pulse by solving the time-dependent Schrodinger equation using a quantum wave packet method. It was theoretically shown that we can manipulate the splitting of photoelectron spectroscopy by altering the laser intensity. Furthermore, it was found that the percentages of each peak in photoelectron spectroscopy can be controlled by changing the envelope of the laser pulse.

A Self-Consistent Semi-Analytical Model for AlGaAs/InGaAs PMHEMTs

  • Abdel Aziz, M.;El-Banna, M.;El-Sayed, M.
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제2권1호
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    • pp.59-69
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    • 2002
  • A semi-analytical model based on exact numerical analysis of the 2DEG channel in pseudo-morphic HEMT (PMHEMT) is presented. The exactness of the model stems from solving both Schrodinger's wave equation and Poisson's equation simultaneously and self-consistently. The analytical modeling of the device terminal characteristics in relation to the charge control model has allowed a best fit with the geometrical and structural parameters of the device. The numerically obtained data for the charge control of the channel are best fitted to analytical expressions which render the problem analytical. The obtained good agreement between experimental and modeled current/voltage characteristics and small signal parameters has confirmed the validity of the model over a wide range of biasing voltages. The model has been used to compare both the performance and characteristics of a PMHEMT with a competetive HEMT. The comparison between the two devices has been made in terms of 2DEG density, transfer characteristics, transconductance, gate capacitance and unity current gain cut-off frequency. The results show that PMHEMT outperforms the conventional HEMT in all considered parameters.