scispace - formally typeset
Search or ask a question
Topic

Rate equation

About: Rate equation is a research topic. Over the lifetime, 4249 publications have been published within this topic receiving 90524 citations. The topic is also known as: rate law.


Papers
More filters
Journal ArticleDOI
TL;DR: In this paper, an analytical solution of the gain for thulium doped fiber amplifiers (TDFAs) is obtained after some reasonable simplicities, compared with the experimental data and the numerical results.
Abstract: In this paper, based on the rate equations in a steady state of the Tm 3+ ions, an analytical solution of the gain for thulium doped fiber amplifiers (TDFAs) is obtained after some reasonable simplicities. Compared with the experimental data and the numerical results, the analytical results fit very well with them.
01 Jan 1995
TL;DR: In this article, the same authors analyzed InGaAsP bulk double heterostructures and compressively strained multiquantum-well lasers using steady state rate equations and characterized b nonlinear gain coefficients in the range of (2.7 - 3.0) x 10 cm3 at 20 "C".
Abstract: Spectrally resolved measurements of unclamped spontaneous emission above threshold in 1.3 pm InGaAsP bulk double heterostructure and compressively strained multiquantum-well lasers are analyzed using steady state rate equations. Both types of structures are characterized b nonlinear gain coefficients in the range of (2.7 - 3.0) x 10- cm3 at 20 "C. The nonlinear gain coefficient decreases with increasing temperature due to thermionic emission of carriers out of the active region and decreasing differential gain. The former effect was found to be more pronounced in quantum-well lasers. Excellent agreement with the rate equation based model is obtained. I3
Book ChapterDOI
01 Jan 1991
TL;DR: In this paper, an improved version of the self consistent rate equation model is obtained by using a Monte Carlo algorithm to calculate a microscopic local detrapping cross-section, which is used to solve the hot electron transport in silicon dioxide with traps.
Abstract: The physical problem addressed in this paper is that of hot electron transport in silicon dioxide with traps A rate equation model solved self consistently [1,2] has previously been shown to agree well with experimental data for the flat band voltage shift in silicon dioxide This dynamic trapping and detrapping model contains an empirical detrapping cross section By using a Monte Carlo algorithm to calculate a microscopic local detrapping cross section, an improved version of the self consistent rate equation model is obtained
Proceedings ArticleDOI
07 Nov 2003
TL;DR: In this article, a modified simplified rate equation (RE) model of flowing chemical oxygen-iodine laser (COIL), which is adapted to both the condition of homogeneous broadening and inhomogenous broadening, is presented for performance analyses of a COIL.
Abstract: A modified simplified rate equation (RE) model of flowing chemical oxygen-iodine laser (COIL), which is adapted to both the condition of homogeneous broadening and inhomogeneous broadening being of importance and the condition of inhomogeneous broadening being predominant, is presented for performance analyses of a COIL. By using the Voigt profile function and the gain-equal-loss approximation, a gain expression has been deduced from the rate equations of upper and lower level laser species. This gain expression is adapted to the conditions of very low gas pressure up to quite high pressure and can deal with the condition of lasing frequency being not equal to the central one of spectral profile. The expressions of output power and extraction efficiency in a flowing COIL can be obtained by solving the coupling equations of the deduced gain expression and the energy equation which expresses the complete transformation of the energy stored in singlet delta state oxygen into laser energy. By using these expressions, the RotoCOIL experiment is simulated, and obtained results agree well with experiment data. Effects of various adjustable parameters on the performances of COIL are also presented.
Journal ArticleDOI
TL;DR: In this article, two models represented by differential equations are generated by using the concept of virtual kinetic parameters, which can be determined from non-isothermal experiments only, and a key property of the virtual parameter "p" involved in the transformation rate equations is that it quantitatively characterizes the temperature rate dependence of the nonisothermal reaction.
Abstract: Kinetic models of new types are suggested which are designated primarily to predict the progress of non-isothermal transformations occurring during rapid heating and cooling in alloys. A common feature of each model outlined is that it takes into account not only the varying temperature but also the rate of temperature change on the transformation rate of the process. The two models represented by differential equations are generated by using the concept of virtual kinetic parameters, which can be determined from non-isothermal experiments only. A key property of the virtual parameter "p" involved in the transformation rate equations is that it quantitatively characterizes the temperature rate dependence of the non-isothermal reaction.

Network Information
Related Topics (5)
Raman spectroscopy
122.6K papers, 2.8M citations
90% related
Oxide
213.4K papers, 3.6M citations
87% related
Silicon
196K papers, 3M citations
83% related
Carbon nanotube
109K papers, 3.6M citations
83% related
Adsorption
226.4K papers, 5.9M citations
83% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202336
202262
202154
202054
201961
201880