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Analysis Expression of rate equation for Vertical Cavity Lasers

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Semiconductor Photonics and Technology 2000年第1期6卷 40-47页

作者： PANWei CHENJian－guo 等 Dept.ofComput.＆Commun Eng.SouthwestJiaotongUniversityChengdu610031CHN SichuanUniversity Chengdu610

An analysis solution of rate equation is derived for vertical cavity surface-emitting lasers. Based on the enhanced spontaneous emission caused by VCSELs and influence of nonradiative recombination, the relation between output properties and structural parameters of multi-quantum wells (MQWs) is obtained. It was found that the characteristic curve of a“thresholdless”laser is strongly nonradiative depopulation-dependent. When the nonradiative depopulation is no zero, the light-current characteristic is not linearly even for an ideal closed microcavity. The light output is increased by the enhanced well number and by the reduced width. In particular, a lower threshold current density for MQW structure in the short cavity is realized by us, meanwhile the sharpness of the variation depends on spontaneous emission factor.

关键词： rate equation Spontaneous emission factor Structural parameters of MQWs VCSELs

Analytical　Solutions　of　rate　equations　of　Two－segment　Absorptive　Bistable　Semiconductor　Lasers

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Chinese Journal of Lasers 1995年第3期 193-198页

作者： WU Zhengmao CHEN Jianguo XIA Guangqiong LU Yucun(Optoelectronics Dept, Sichuan Univ. Chengdu. 610064, China)

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关键词： bistable semiconductor laser rate equation

Kinetics of aggregation growth with competition between catalyzed birth and catalyzed death

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Chinese Physics B 2008年第4期17卷 1490-1500页

作者：王海锋林振权高艳 Key Laboratory Ecophysics and Department of Physics Teachers CollegeShihezi University Department of Physics Wenzhou University

An aggregation growth model of three species A, B and C with the competition between catalyzed birth and catalyzed death is proposed. Irreversible aggregation occurs between any two aggregates of the like species with theconstant rate kernels In（n = 1,2, 3）. Meanwhile, a monomer birth of an A species aggregate of size k occurs under the catalysis of a B species aggregate of size j with the catalyzed birth rate kernel K（k, j） = Kkj^v, and a monomer death of an A species aggregate of size k occurs under the catalysis of a C species aggregate of size j with the catalyzed death rate kernel L（k, j） = Lkj^v, whcre v is a parameter reflecting the dependence of the catalysis reaction rates of birth and death on the size of catalyst aggregate. The kinetic evolution behaviours of the three species are investigated by the rate equation approach based on the mean-field theory. The form of the aggregate size distribution of A species ak （t） is found to be dependent crucially on the competition between the catalyzed birth and death of A species, as well as the irreversible aggregation processes of the three species：（i） In the v 〈 0 case, the irreversible aggregation dominates the process, and ak（t） satisfies the conventional scaling form; （2） In the v ≥ 0 casc, the competition between the catalyzed birth and death dominates the process. When the catalyzed birth controls the process, ak（t） takes the conventional or generalized scaling form. While the catalyzed death controls the process, the scaling description of the aggregate size distribution breaks down completely.

关键词： kinetic scaling behaviour aggregation growth catalyzed birth and death rate equation

Effect of detrapping on up-conversion charging in LaMgGa_(11)O_(19):Pr^(3+) persistent phosphor

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Journal of Rare Earths 2021年第12期39卷 1492-1496,I0002页

作者： Xiyu Zhao Chenlin Li Feng Liu Xiao-jun Wang Key Laboratory for UV-Emitting Materials and Technology of Ministry of Education Northeast Normal UniversityChangchun 130024China Department of Physics Georgia Southern UniversityStatesboroGA30460USA

Up-conversion charging(UCC)is a promising approach for charging storage phosphors using low-energy excitation light *** further understanding the UCC,research on the competition between trapping and detrapping during illumination is essentially *** we demonstrate the effect of detrapping on UCC dynamics by a rate equation ***,taking LaMgGa_(11)O_(19):Pr^(^(3+))phosphor as an example,we experimentally verified the dependence of illumination dose and duration on the thermoluminescence intensities using 450 nm laser *** present model and experimental approach appear to be transferable to other phosphors,Thus,many existing persistent phosphors can now be revisited,paving the way toward advancing the understanding of UCC.

关键词： Up-conversion charging Pr^(3+)ion Detrapping rate equation Thermolumineseence Rare earths

Kinetics of catalytically activated aggregation-fragmentation process

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Chinese Physics B 2011年第8期20卷 304-311页

作者：高艳王海锋林振权薛新英 Key Laboratory of Ecophysics and Department of Physics College of ScienceShihezi University Department of Physics Wenzhou University

We propose a catalytically activated aggregation-fragmentation model of three species, in which two clusters of species A can coagulate into a larger one under the catalysis of B clusters; otherwise, one cluster of species A will fragment into two smaller clusters under the catalysis of C clusters. By means of mean-field rate equations, we derive the asymptotic solutions of the cluster-mass distributions ak（t） of species A, which is found to depend strongly on the competition between the catalyzed aggregation process and the catalyzed fragmentation process. When the catalyzed aggregation process dominates the system, the cluster-mass distribution ak（t） satisfies the conventional scaling form. When the catalyzed fragmentation process dominates the system, the scaling description of ak （t） breaks down completely and the monodisperse initial condition of species A would not be changed in the long-time limit. In the marginal case when the effects of catalyzed aggregation and catalyzed fragmentation counteract each other, ak（t） takes the modified scaling form and the system can eventually evolve to a steady state.

关键词： aggregation fragmentation catalytically activated reaction rate equation

Kinetic evolutionary behavior of catalysis-select migration

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Chinese Physics B 2012年第6期21卷 531-537页

作者：吴远刚林振权柯见洪 Department of Physics Wenzhou University

We propose a catalysis-select migration driven evolution model of two-species（A-and B-species） aggregates,where one unit of species A migrates to species B under the catalysts of species C,while under the catalysts of species D the reaction will become one unit of species B migrating to species *** the catalyst aggregates of species C perform self-coagulation,as do the species D *** study this catalysis-select migration driven kinetic aggregation phenomena using the generalized Smoluchowski rate equation approach with C species catalysis-select migration rate kernel K（k;i,j） = Kkij and D species catalysis-select migration rate kernel J（k;i,j） = *** kinetic evolution behaviour is found to be dominated by the competition between the catalysis-select immigration and emigration,in which the competition is between JD0 and KC0（D0 and C0 are the initial numbers of the monomers of species D and C,respectively）.When JD0 KC0 〉 0,the aggregate size distribution of species A satisfies the conventional scaling form and that of species B satisfies a modified scaling *** in the case of JD0 KC0 〈 0,species A and B exchange their aggregate size distributions as in the above JD0 KC0 〉 0 case.

关键词： catalysis-select migration kinetic evolution behavior rate equation scaling law

Spectroscopic properties of Er/Ce-codoped La_3Ga_5SiO_(14)

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Chinese Physics B 2012年第2期21卷 386-392页

作者： Wang Qing-Guo Su Liang-Bi Li Hong-Jun Zheng Li-He Xu Xiao-Dong Tang Hui-Li Jiang Da-Peng Wu Feng Xu Jun Key Laboratory of Transparent and Opto-Functional Advanced Inorganic Materials Shanghai Institute of CeramicsChinese Academy of SciencesShanghai 201800China Graduate School of the Chinese Academy of Science Beijing 100049China

The Er-single-doped and Er/Ce-codoped La3Ga5SiO14 polycrystalline powders are synthesized by the solid-phase synthesis method. The room-temperature luminescence spectra of the samples are investigated. The Near-infrared- region spectroscopic properties of Er3＋ ions in the La3GasSiO14 systems are analysed with Judd-Ofelt theory and rate equations. The effective deactivating effect of Ce3＋ ions on Er3＋ ions is confirmed.

关键词： solid-phase synthesis spectroscopic properties Judd-Ofelt theory rate equation

Novel Biased Aggregation-Annihilation Model

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Communications in Theoretical Physics 2007年第2期47卷 355-360页

作者： KE Jian-Hong LIN Zhen-Quan CHEN Xiao-Shuang School of Physics and Electronic Information Wenzhou University Wenzhou 325027 China State Laboratory of Infrared Physics Shanghai Institute of Technical Physics the Chinese Academy of Sciences Shanghai 200083 China

We propose a novel two-species aggregation-annihilation model, in which irreversible aggregation reactions occur between any two aggregates of the same species and biased annihilations occur simultaneously between two different species. The kinetic scaling behavior of the model is then analytically investigated by means of the mean-field rate equation. For the system without the seff-aggregation of the un-annihilated species, the aggregate size distribution of the annihilated species always approaches a modified scaling form and vanishes finally; while for the system with the self-aggregation of the un-annihilated species, its scaling behavior depends crucially on the details of the rate kernels. Moreover, the results also exhibit that both species are conserved together in some cases, while only the un-annihilated species survives finally in other cases.

关键词： kinetic behavior aggregation-annihilation scaling law rate equation

Kinetics of catalytically activated duplication in aggregation growth

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Chinese Physics B 2009年第8期18卷 3577-3584页

作者：王海锋林振权高艳胥超 Key Laboratory of Ecophysics and Department of Physics Teachers CollegeShihezi University Department of Physics Wenzhou University

We propose a catalytically activated duplication model to mimic the coagulation and duplication of the DNA polymer system under the catalysis of the primer RNA. In the model, two aggregates of the same species can coagulate themselves and a DNA aggregate of any size can yield a new monomer or double itself with the help of RNA aggregates. By employing the mean-field rate equation approach we analytically investigate the evolution behaviour of the system. For the system with catalysis-driven monomer duplications, the aggregate size distribution of DNA polymers αk（t） always follows a power law in size in the long-time limit, and it decreases with time or approaches a time-independent steady-state form in the case of the duplication rate independent of the size of the mother aggregates, while it increases with time increasing in the case of the duplication rate proportional to the size of the mother aggregates. For the system with complete catalysis-driven duplications, the aggregate size distribution αk（t） approaches a generalized or modified scaling form.

关键词： aggregation catalytically activated reaction rate equation kinetic behavior