• 제목/요약/키워드: Hamiltonian Function

검색결과 29건 처리시간 0.018초

양자우물 레이저의 이득 곡선의 온도 의존성 (Temperature Dependence of the Gain Spectrum of a Quantum Well Laser)

  • 김동철;유건호;박종대;김태환
    • 한국광학회지
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    • 제6권4호
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    • pp.302-309
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    • 1995
  • 상온에서 $1.55{\mu}m$ 를 발진하는 격자 정합된 InGaAs/InGaAsP 양자우물 레이저를 설계하여 주입 운반자 밀도와 온도의 함수로 이득 곡선을 계산하였다. 밴드 구조와 운동량 행력 요소의 계산에는 블록대각화된 8*8 이차 k.p 해밀토니안에 근거한 변환행렬법을 사용하였다. 이 격자정합된 양자우물은 TE 모우드로 발진하였다. 온도가 증가함에 따라 발진파장이 길어졌고, 투명 운반자 밀도는 증가하였으며 미분이득은 감소하였다. 이득 곡선의 온도의존도는 밴드 구조의 온도의존성과 페르미 함수의 온도의존성에 기인하는데 이중 후자의 효과가 주도적인 것이었다.

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A semi-active stochastic optimal control strategy for nonlinear structural systems with MR dampers

  • Ying, Z.G.;Ni, Y.Q.;Ko, J.M.
    • Smart Structures and Systems
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    • 제5권1호
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    • pp.69-79
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    • 2009
  • A non-clipped semi-active stochastic optimal control strategy for nonlinear structural systems with MR dampers is developed based on the stochastic averaging method and stochastic dynamical programming principle. A nonlinear stochastic control structure is first modeled as a semi-actively controlled, stochastically excited and dissipated Hamiltonian system. The control force of an MR damper is separated into passive and semi-active parts. The passive control force components, coupled in structural mode space, are incorporated in the drift coefficients by directly using the stochastic averaging method. Then the stochastic dynamical programming principle is applied to establish a dynamical programming equation, from which the semi-active optimal control law is determined and implementable by MR dampers without clipping in terms of the Bingham model. Under the condition on the control performance function given in section 3, the expressions of nonlinear and linear non-clipped semi-active optimal control force components are obtained as well as the non-clipped semi-active LQG control force, and thus the value function and semi-active nonlinear optimal control force are actually existent according to the developed strategy. An example of the controlled stochastic hysteretic column is given to illustrate the application and effectiveness of the developed semi-active optimal control strategy.

55Mn이 첨가된 SrTiO3 단 결정의 광 전이 특성연구 (Magneto-optical Properties of 55Mn-doped SrTiO3 Single Crystal)

  • 배규찬;박정일;이형락
    • 한국자기학회지
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    • 제21권6호
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    • pp.208-213
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    • 2011
  • Mori-Kawabata의 사영 연산자 방법을 $^{55}Mn$이 첨가된 $SrTiO^3$ 단 결정에 직접 적용하여, 이를 운동 방정식의 형태로 만드는 이론 체계를 사용하여 선모양 함수를 계산하였다. 외부 진동수 ${\nu}_0$ = 9.6 GHz에서 서로 다른 농도 [Mn] = 0.5 wt%와 2 wt%에 대한 온도 의존성으로 선폭을 조사하였다. 온도가 증가함에 따라 선폭은 감소하는 경향으로 확인되었고, 이는 선모양의 운동 좁아짐으로 보이며 고온영역 에서는 실험값과 비교적 일치함을 알 수 있었다. 이와 같이 계를 기술하는 스핀 해밀토니안에 연산자 방법을 이용한 선모양 함수는 실제 계의 적용에 편리한 급수전개로 하였으며, 다른 방법들에 비해 비교적 쉽게 계산할 수 있었다.

Electronic properties of monolayer silicon carbide nanoribbons using tight-binding approach

  • Chuan, M.W.;Wong, Y.B.;Hamzah, A.;Alias, N.E.;Sultan, S. Mohamed;Lim, C.S.;Tan, M.L.P.
    • Advances in nano research
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    • 제12권2호
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    • pp.213-221
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    • 2022
  • Silicon carbide (SiC) is a binary carbon-silicon compound. In its two-dimensional form, monolayer SiC is composed of a monolayer carbon and silicon atoms constructed as a honeycomb lattice. SiC has recently been receiving increasing attention from researchers owing to its intriguing electronic properties. In this present work, SiC nanoribbons (SiCNRs) are modelled and simulated to obtain accurate electronic properties, which can further guide fabrication processes, through bandgap engineering. The primary objective of this work is to obtain the electronic properties of monolayer SiCNRs by applying numerical computation methods using nearest-neighbour tight-binding models. Hamiltonian operator discretization and approximation of plane wave are assumed for the models and simulation by applying the basis function. The computed electronic properties include the band structures and density of states of monolayer SiCNRs of varying width. Furthermore, the properties are compared with those of graphene nanoribbons. The bandgap of ASiCNR as a function of width are also benchmarked with published DFT-GW and DFT-GGA data. Our nearest neighbour tight-binding (NNTB) model predicted data closer to the calculations based on the standard DFT-GGA and underestimated the bandgap values projected from DFT-GW, which takes in account the exchange-correlation energy of many-body effects.

Viral 통신에서의 SEIR모델을 위한 최적제어 기법 (Optimal Control Scheme for SEIR Model in Viral Communications)

  • Radwan, Amr
    • 한국정보통신학회논문지
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    • 제20권8호
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    • pp.1487-1493
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    • 2016
  • 최근 SNS (Social Networking Services)를 통한 사용자들 간 정보 확산이 폭발적으로 증가하고 있다. SEIR (Susceptible-Exposed-Infectious-Recovered model)모델은 전염병 예측에 널리 사용되는 수학적 모델로, 이러한 정보 확산은 SEIR를 이용하여 모델링 할 수 있다. 본 논문에서는 SEIR모델을 이용하여 최적 제어 이론의 관점에서 SNS의 정보 확산 모델을 도출하였다. 본 논문에서는 PMP (Pontryagin's Minimum Principle)에 기반한 forward-backward algorithm을 제안하였다. 이 알고리즘은 전방과 후방으로 가면서 state와 adjoint equation들을 통합하면서 동작한다. 수치해석을 통해 정보 내용의 impact value와 birth rate이 작으면 작을수록 더 많은 노드들이 해로운 정보를 필터링하는 것을 보였다.

Tabu Search를 이용한 지름이 2인 그래프에 대한 L(2,1)-coloring 문제 해결 (Using Tabu Search for L(2,1)-coloring Problem of Graphs with Diameter 2)

  • 김소정;김찬수;한근희
    • 디지털융복합연구
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    • 제20권2호
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    • pp.345-351
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    • 2022
  • 단순 무방향 그래프 G 의 L(2,1)-coloring은 d(u,v)가 두 정점 사이의 거리일 때 두 가지 조건 (1) d(x,y) = 1 라면 |f(x)-f(y)|≥ 2, (2) d(x,y) = 2 라면 |f(x)-f(y)|≥ 1 을 만족하는 함수 f : V → [0,1,…,k]를 정의하는 것이다. 임의의 L(2,1)-coloring c 에 대하여 G 의 c-span 은 λ(c)=max{|c(u)-c(v)|| u,v∈V} 이며, L(2,1)-coloring number 인 λ(G)는 모든 가능한 c 에 대하여 λ(G) = min{λ(c)} 로 정의된다. 본 논문에서는 Harary의 정리에 기반하여 지름이 2인 그래프에 대하여 여그래프에 해밀턴 경로의 존재여부를 Tabu Search를 사용해 판단하고 이를 통해 λ(G)가 n(=|V|)과 같음을 분석한다.

Influence of flexoelectricity on bending of piezoelectric perforated FG composite nanobeam rested on elastic foundation

  • Ali Alnujaie;Alaa A. Abdelrahman;Abdulrahman M. Alanasari;Mohamed A. Eltaher
    • Steel and Composite Structures
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    • 제49권4호
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    • pp.361-380
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    • 2023
  • A size dependent bending behavior of piezoelectrical flexoelectric layered perforated functionally graded (FG) composite nanobeam rested on an elastic foundation is investigated analytically. The composite beam is composed of regularly cutout FG core and two piezoelectric face sheets. The material characteristics is graded through the core thickness by power law function. Regular squared cutout perforation pattern is considered and closed forms of the equivalent stiffness parameters are derived. The modified nonlocal strain gradient elasticity theory is employed to incorporate the microstructure as well as nonlocality effects into governing equations. The Winkler as well as the Pasternak elastic foundation models are employed to simulate the substrate medium. The Hamiltonian approach is adopted to derive the governing equilibrium equation including piezoelectric and flexoelectric effects. Analytical solution methodology is developed to derive closed forms for the size dependent electromechanical as well as mechanical bending profiles. The model is verified by comparing the obtained results with the available corresponding results in the literature. To demonstrate the applicability of the developed procedure, parametric studies are performed to explore influences of gradation index, elastic medium parameters, flexoelectric and piezoelectric parameters, geometrical and peroration parameters, and material parameters on the size dependent bending behavior of piezoelectrically layered PFG nanobeams. Results obtained revealed the significant effects both the flexoelectric and piezoelectric parameters on the bending behavior of the piezoelectric composite nanobeams. These parameters could be controlled to improve the size dependent electromechanical as well as mechanical behaviors. The obtained results and the developed procedure are helpful for design and manufacturing of MEMS and NEMS.

Quantum transport of doped rough-edged graphene nanoribbons FET based on TB-NEGF method

  • K.L. Wong;M.W. Chuan;A. Hamzah;S. Rusli;N.E. Alias;S.M. Sultan;C.S. Lim;M.L.P. Tan
    • Advances in nano research
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    • 제17권2호
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    • pp.137-147
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    • 2024
  • Graphene nanoribbons (GNRs) are considered a promising alternative to graphene for future nanoelectronic applications. However, GNRs-based device modeling is still at an early stage. This research models the electronic properties of n-doped rough-edged 13-armchair graphene nanoribbons (13-AGNRs) and quantum transport properties of n-doped rough-edged 13-armchair graphene nanoribbon field-effect transistors (13-AGNRFETs) at different doping concentrations. Step-up and edge doping are used to incorporate doping within the nanostructure. The numerical real-space nearest-neighbour tight-binding (NNTB) method constructs the Hamiltonian operator matrix, which computes electronic properties, including the sub-band structure and bandgap. Quantum transport properties are subsequently computed using the self-consistent solution of the two-dimensional Poisson and Schrödinger equations within the non-equilibrium Green's function method. The finite difference method solves the Poisson equation, while the successive over-relaxation method speeds up the convergence process. Performance metrics of the device are then computed. The results show that highly doped, rough-edged 13-AGNRs exhibit a lower bandgap. Moreover, n-doped rough-edged 13-AGNRFETs with a channel of higher doping concentration have better gate control and are less affected by leakage current because they demonstrate a higher current ratio and lower off-current. Furthermore, highly n-doped rough-edged 13-AGNRFETs have better channel control and are less affected by the short channel effect due to the lower value of subthreshold swing and drain-induced barrier lowering. The inclusion of dopants enhances the on-current by introducing more charge carriers in the highly n-doped, rough-edged channel. This research highlights the importance of optimizing doping concentrations for enhancing GNRFET-based device performance, making them viable for applications in nanoelectronics.

Investigation of the interaction between spin density wave and superconductivity in two band high temperature iron based superconductor Ba1-xNaxFe2As2

  • Teklie Lissanu Tegegne
    • 한국초전도ㆍ저온공학회논문지
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    • 제26권2호
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    • pp.9-18
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    • 2024
  • The current study deals with the possible interplay between superconductivity and spin density wave in two band model high temperature iron based superconductor (FeBSC) Ba1-xNaxFe2As2. The electron and hole bands in the presence of the inter-band interaction between the two bands is becoming a vital issue to deal with the high temperature physics of the iron-based superconductors. In this research work, a model Hamiltonian appropriate for the system under consideration has been developed and the temperature dependent Green's function technique has been employed to get the solution for the equations of motion constructed for the two band model high temperature FeBSC Ba1-xNaxFe2As2. By making use of the decoupling procedure, the equations of motion for the dependence of superconducting transition temperature (TC) on spin density wave(SDW) order parameter (ΔSDW) in the electron intra-band (Δsc(e)) , hole intra-band (Δsc(h)) and inter-band (Δsc(eh)) for Ba1-xNaxFe2As2 have been obtained. We have also obtained the expression for the dependence of spin density wave transition temperature(TSDW) on ΔSDW for Ba1-xNaxFe2As2. Using some plausible approximations and appropriate experimental values for the parameters in the obtained equations of motion, phase diagrams of TC versus Δsc(e), Δsc(h) and Δsc(eh) are plotted. Furthermore, a phase diagram of TSDW versus ΔSDW is plotted for the material under consideration. Finally, using the above mentioned phase diagrams, the interplay between superconductivity and spin density wave in the two band model high temperature FeBSC Ba1-xNaxFe2As2 has been demonstrated to be a very distinct possibility. The agreement of the current finding with the experimental observations is quite commendable.