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Decoupling of temporal/spatial broadening effects in Doppler wind LiDAR by 2D spectral analysis
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作者 刘珍 张云鹏 +3 位作者 竹孝鹏 刘继桥 毕德仓 陈卫标 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第3期447-452,共6页
Pulse echo accumulation is commonly employed in coherent Doppler wind LiDAR(light detection and ranging)under the assumption of steady wind.Here,the measured spectral data are analyzed in the time dimension and freque... Pulse echo accumulation is commonly employed in coherent Doppler wind LiDAR(light detection and ranging)under the assumption of steady wind.Here,the measured spectral data are analyzed in the time dimension and frequency dimension to cope with the temporal wind shear and achieve the optimal accumulation time.A hardware-efficient algorithm combining the interpolation and cross-correlation is used to enhance the wind retrieval accuracy by reducing the frequency sampling interval and then reduce the spectral width calculation error.Moreover,the temporal broadening effect and spatial broadening effect are decoupled according to the strategy we developed. 展开更多
关键词 Doppler wind LiDAR spectral analysis hardware efficiency spectrum broadening effects
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Theoretical study of electron-impact broadening for highly charged Ar XV ion lines
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作者 吴超 高翔 +7 位作者 朱宇豪 韩小英 段斌 孟举 张松斌 颜君 吴勇 王建国 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第5期49-56,共8页
Spectral line widths produced by collisions between charged particles and emitters are of special interest for precise plasma spectroscopy.The highly charged Ar XV ion is demonstrated to have strong intrashell electro... Spectral line widths produced by collisions between charged particles and emitters are of special interest for precise plasma spectroscopy.The highly charged Ar XV ion is demonstrated to have strong intrashell electron interactions,which manifest as an atomic system with many resonance structures,due to the quasi-degeneracy of orbital energies.In this paper we use the relativistic R-matrix method to investigate the electron-impact broadening of highly charged Ar XV ion spectral lines under the impact approximation.It is found that the results considering resonance structures are significantly different from those of the distorted wave approach.Furthermore,we propose a new empirical formula with a correction term to take into account the effect of resonances for electron-impact widths over a relatively wide range of plasma conditions.The corresponding fitting parameters of the new empirical formula for all 47 calculated transitions are also given with an estimated accuracy within 1%,which should be convenient for practical applications.The dataset that supported the findings of this study is available in Science Data Bank,with the link https://doi.org/10.57760/sciencedb.j00113.00101. 展开更多
关键词 highly charged ions electron-impact broadening empirical formula
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Li(2p←2s)+Na(3s)pressure broadening in the far-wing and line-core profiles
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作者 F Talbi N Lamoudi +3 位作者 L Reggami M T Bouazza K Alioua M Bouledroua 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第7期247-254,共8页
This work reports pressure-broadening line-wing and line-core of the lithium Li(2p←2s)resonance line perturbed by ground sodium Na(3s)atoms.In far-wing regions,the calculations are performed quantum-mechanically and ... This work reports pressure-broadening line-wing and line-core of the lithium Li(2p←2s)resonance line perturbed by ground sodium Na(3s)atoms.In far-wing regions,the calculations are performed quantum-mechanically and are intended to examine the photoabsorption coefficients at diverse temperatures.The results show the existence of three satellites,in the blue wing near the wavelengths 470 nm and in the red wing around 862 nm and 1070 nm.For the line-core region,by adopting the simplified Baranger model,the line-width and line-shift rates are determined,and their variation law with temperature is examined.No published data were found to compare these results with. 展开更多
关键词 pressure broadening line-core broadening far-wing spectra PHOTOABSORPTION
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Effect of inhomogeneous broadening on threshold current of GaN-based green laser diodes 被引量:3
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作者 Yipeng Liang Jianping Liu +7 位作者 Masao Ikeda Aiqin Tian Renlin Zhou Shuming Zhang Tong Liu Deyao Li Liqun Zhang Hui Yang 《Journal of Semiconductors》 EI CAS CSCD 2019年第5期67-70,共4页
The inhomogeneous broadening parameter and the internal loss of green LDs are determined by experiments and theoretical fitting. It is found that the inhomogeneous broadening plays an important role on the threshold c... The inhomogeneous broadening parameter and the internal loss of green LDs are determined by experiments and theoretical fitting. It is found that the inhomogeneous broadening plays an important role on the threshold current density of green LDs. The green LD with large inhomogeneous broadening even cannot lase. Therefore, reducing inhomogeneous broadening is a key issue to improve the performance of green LDs. 展开更多
关键词 GaN green laser DIODE INHOMOGENEOUS broadening threshold current density
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Effect of spontaneously generated coherence on inversionless lasing gain in an atomic system with Doppler broadening 被引量:3
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作者 马慧 谭霞 +2 位作者 田淑芬 仝殿民 樊锡君 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第8期2400-2406,共7页
We have studied the effect of the spontaneously generated coherence (SGC) on gain of lasing without inversion (LWI) in a closed three-level A-type atomic system with Doppler broadening. It is shown that, regardles... We have studied the effect of the spontaneously generated coherence (SGC) on gain of lasing without inversion (LWI) in a closed three-level A-type atomic system with Doppler broadening. It is shown that, regardless of the driving and probe fields being co- or counter-propagating, at a suitable value of the Doppler width, we can obtain a much larger LWI gain with SGC than that without SGC; and the region of the LWI gain spectrum with SGC is obviously larger than that without SGC. When the Doppler width takes a constant value, the gain does not monotonically decrease or increase with increasing strength of SGC, the largest LWI gain can be obtained by adjusting strength of SGC. Generally speaking, the co-propagating probe and driving fields is favourable to obtain a larger LWI gain. 展开更多
关键词 spontaneously generated coherence Doppler broadening lasing without inversion GAIN
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Effects of 946-nm thermal shift and broadening on Nd^(3+):YAG laser performance 被引量:2
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作者 Seyed Ebrahim Pourmand Ghasem Rezaei 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第12期342-345,共4页
Spectroscopic properties of flashlamp pumped Nd^3+:YAG laser are studied as a function of temperature in a range from-30℃ to 60℃. The spectral width and shift of quasi three-level 946.0-nm inter-Stark emission wit... Spectroscopic properties of flashlamp pumped Nd^3+:YAG laser are studied as a function of temperature in a range from-30℃ to 60℃. The spectral width and shift of quasi three-level 946.0-nm inter-Stark emission within the respective intermanifold transitions of ^4F3/2→^4I9/2are investigated. The 946.0-nm line shifts toward the shorter wavelength and broadens. In addition, the threshold power and slope efficiency of the 946.0-nm laser line are quantified with temperature.The lower the temperature, the lower the threshold power is and the higher the slope efficiency of the 946.0-nm laser line is,thus the higher the laser output is. This phenomenon is attributed to the ion-phonon interaction and the thermal population in the ground state. 展开更多
关键词 946-nm Nd:YAG laser thermal broadening thermal shift flashlamp pump slope efficiency threshold power
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Laser-induced plasma electron number density:Stark broadening method versus the Saha-Boltzmann equation 被引量:2
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作者 Arnab SARKAR Manjeet SINGH 《Plasma Science and Technology》 SCIE EI CAS CSCD 2017年第2期43-51,共9页
We report spectroscopic studies on plasma electron number density of laser-induced plasma produced by ns-Nd:YAG laser light pulses on an aluminum sample in air at atmospheric pressure. The effect of different laser e... We report spectroscopic studies on plasma electron number density of laser-induced plasma produced by ns-Nd:YAG laser light pulses on an aluminum sample in air at atmospheric pressure. The effect of different laser energy and the effect of different laser wavelengths were compared. The experimentally observed line profiles of neutral aluminum have been used to extract the excitation temperature using the Boltzmann plot method, whereas the electron number density has been determined from the Stark broadened as well as using the Saha-Boltzmann equation (SBE). Each approach was also carried out by using the AI emission line and Mg emission lines. It was observed that the,SBE method generated a little higher electron number density value than the Stark broadening, method, but within the experimental uncertainty range. Comparisons of Ne determined by the two methods show the presence of a linear relation which is independent of laser energy or laser wavelength. These results show the applicability of the SBE method for Are determination, especially when the system does not have any pure emission lines whose electron impact factor is known, Also use of Mg lines gives superior results than Al lines. 展开更多
关键词 plasma parameter laser induced plasma plasma electron density Saha-Boltzmannmethod Stark broadening method
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Hybrid windowed networks for on-the-fly Doppler broadening in RMC code 被引量:2
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作者 Tian-Yi Huang Ze-Guang Li +2 位作者 Kan Wang Xiao-Yu Guo Jin-Gang Liang 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2021年第6期70-82,共13页
On-the-fly Doppler broadening of cross sections is important in Monte Carlo simulations,particularly in Monte Carlo neutronics-thermal hydraulics coupling simulations.Methods such as Target Motion Sampling(TMS)and win... On-the-fly Doppler broadening of cross sections is important in Monte Carlo simulations,particularly in Monte Carlo neutronics-thermal hydraulics coupling simulations.Methods such as Target Motion Sampling(TMS)and windowed multipole as well as a method based on regression models have been developed to solve this problem.However,these methods have limitations such as the need for a cross section in an ACE format at a given temperature or a limited application energy range.In this study,a new on-the-fly Doppler broadening method based on a Back Propagation(BP)neural network,called hybrid windowed networks(HWN),is proposed to resolve the resonance energy range.In the HWN method,the resolved resonance energy range is divided into windows to guarantee an even distribution of resonance peaks.BP networks with specially designed structures and training parameters are trained to evaluate the cross section at a base temperature and the broadening coefficient.The HWN method is implemented in the Reactor Monte Carlo(RMC)code,and the microscopic cross sections and macroscopic results are compared.The results show that the HWN method can reduce the memory requirement for cross-sectional data by approximately 65%;moreover,it can generate keff,power distribution,and energy spectrum results with acceptable accuracy and a limited increase in the calculation time.The feasibility and effectiveness of the proposed HWN method are thus demonstrated. 展开更多
关键词 Monte Carlo method Reactor Monte Carlo(RMC) On-the-fly Doppler broadening BP network
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Effects of the width and thickness of slabs on broadening in continuous casting 被引量:1
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作者 Jian-xun Fu Jing-she Li Hui Zhang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2010年第6期723-728,共6页
A 3D viscoelastic-plastic thermal-mechanical coupled finite element model was built on the basis of the secondary development of the commercial software MSC.Marc. Numerical simulations were performed to study slab bro... A 3D viscoelastic-plastic thermal-mechanical coupled finite element model was built on the basis of the secondary development of the commercial software MSC.Marc. Numerical simulations were performed to study slab broadening in the secondary cooling zone. The effects of slab width and thickness on slab broadening were considered. The obtained results reveal that the width broadening is noticeable, and the ratio of ultimate broadening slightly increases with the increase of slab width. This agrees well with the measured data in practice. There is no obvious increase in ultimate broadening when the thickness of slabs increases. 展开更多
关键词 continuous casting SLABS broadening finite element method
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Phase modulation of propagation effect with Doppler broadening 被引量:1
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作者 乔红霞 杨艳玲 +2 位作者 谭霞 仝殿民 樊锡君 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第10期3734-3738,共5页
This paper studies the propagation effect in a closed lambda-type three-level atomic system with Doppler broadening. It is shown that, Doppler broadening due to atomic motion and propagation effect associated with dri... This paper studies the propagation effect in a closed lambda-type three-level atomic system with Doppler broadening. It is shown that, Doppler broadening due to atomic motion and propagation effect associated with driving field depletion along the active medium decreases obviously the gain and output of the lasing without inversion (LWI); the relative phase between the probe and driving fields has a remarkable modulation role to the propagation effect on LWI when Doppler broadening presents; by choosing suitable value of the relative phase, we can get the largest gain and output of LWI. 展开更多
关键词 closed system Doppler broadening propagation effect lasing without inversion
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Influence of Doppler broadening and spontaneously generated coherence on propagation effect in a quasi lambda-type four-level system 被引量:1
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作者 Liu Zhong-Bo Liang Ying +1 位作者 Jia Ke-Ning Fan Xi-Jun 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第2期322-332,共11页
In this paper we study influences of Doppler broadening, spontaneously generated coherence, and other system parameters on propagation effect in a quasi lambda-type four-level atomic system. It is shown that when the ... In this paper we study influences of Doppler broadening, spontaneously generated coherence, and other system parameters on propagation effect in a quasi lambda-type four-level atomic system. It is shown that when the Doppler broadening is present, generally speaking, the values of gain and intensity of lasing without inversion (i.e. the probe field) in the co-propagating probe and driving fields case are much larger than those in the counter-propagating case; considerably larger gain and intensity of lasing without inversion than those without the Doppler broadening can be obtained by choosing appropriate values of the Doppler broadening width and spontaneously generated coherence strength. The gain and intensity of lasing without inversion increase with the increase of spontaneously generated coherence strength; when spontaneously generated coherence is present, much larger gain and intensity of lasing without inversion than those in the case without spontaneously generated coherence can be obtained. Choosing suitable values of the probe detuning, Rabi frequencies of the driving and pump fields at the entrance of the medium also can remarkably enhance the gain and intensity of lasing without inversion. 展开更多
关键词 four-level system propagation effect spontaneously generated coherence Doppler broadening lasing without inversion
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Electron Density and Temperature Measurement by Stark Broadening in a Cold Argon Arc-Plasma Jet at Atmospheric Pressure 被引量:1
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作者 周秋平 程诚 孟月东 《Plasma Science and Technology》 SCIE EI CAS CSCD 2009年第5期560-563,共4页
Determination of both the electron density and temperature simultaneously in a cold argon arc-plasma jet by analyzing the Stark broadening of two different emission lines is presented. This method is based on the fact... Determination of both the electron density and temperature simultaneously in a cold argon arc-plasma jet by analyzing the Stark broadening of two different emission lines is presented. This method is based on the fact that the Stark broadening of different lines has a different dependence on the electron density and temperature. Therefore, a comparison of two or more line broadenings allows us to diagnose the electron density and temperature simultaneously. In this study we used the first two Balmer series hydrogen lines Ha and Ha for their large broadening width. For this purpose, a small amount of hydrogen was introduced into the discharge gas. The results of the Gigosos-Cardenoso computational model, considering more relevant processes for the hydrogen Balmer lines, is used to process the experimental data. With this method, we obtained reliable electron density and temperature, 1.88 × 1015 cm^-3 and 13000 K, respectively. Possible sources of error were also analyzed. 展开更多
关键词 plasma jet Stark broadening Gigosos-Cardenoso model
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Electron density calculation based on Stark broadening of D Balmer line from detached plasma in EAST tungsten divertor 被引量:1
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作者 Feng XU Fang DING +8 位作者 Xiahua CHEN Liang WANG Jichan XU Zhenhua HU Hongmin MAO Guangnan LUO Zhongshi YANG Jingbo CHEN Kedong LI 《Plasma Science and Technology》 SCIE EI CAS CSCD 2018年第10期68-74,共7页
The electron density within the volume of the tungsten divertor of the Experimental Advanced Superconducting Tokamak (EAST) is calculated based on Dε line (396.9 nm) Stark broadening (SB) measurements. The quas... The electron density within the volume of the tungsten divertor of the Experimental Advanced Superconducting Tokamak (EAST) is calculated based on Dε line (396.9 nm) Stark broadening (SB) measurements. The quasistatic approximation is employed in the SB calculation of the Dε line. The influences of other broadening mechanisms on the calculation error of electron density have been evaluated. The SB method is applied to the study of spatial distribution and time evolution of the electron density in the W divertor. Two electron density bands are observed in the detached divertor plasma during an L-mode discharge sustained by low hybrid wave (LHW) heating, which could be related to the striated particle flux distribution induced by LHW. After the onset of detachment, the upper electron density band corresponding to outer strike point firstly increases then decreases, while the lower density band corresponding to striated particle flux increases continually although the electron densities from Langmuir Probes at the divertor plate keep a descending trend. This could indicate a downward movement of the radiation region that approximately moves along the magnetic field lines after the onset of detachment. 展开更多
关键词 Stark broadening electron density DETACHMENT
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Spectroscopic measurement of Stark broadening parameter of the 636.2 nm Zn I-line 被引量:1
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作者 Ashraf M. El Sherbini Abdel-Nasser Aboulfotouh +4 位作者 Farid Rashid Sami H. Allam Ahmed M. Al-Kaoud Ashraf El Dakrouri Tharwat M. El Sherbini 《Natural Science》 2013年第4期501-507,共7页
In this article we will present an attempt to measure the Stark broadening parameter of the Zn I-line at 636.23 nm utilizing the optical emission spectroscopy (OES) technique, taking into consideration the possibility... In this article we will present an attempt to measure the Stark broadening parameter of the Zn I-line at 636.23 nm utilizing the optical emission spectroscopy (OES) technique, taking into consideration the possibility of existence of self absorption. This method is standing on comparison of the Lorentzian FWHM and spectral line intensity of the unknown Stark broadening parameter line (Zn I-636.23 nm—in our case) to a well known Stark parameter line (e.g. Zn I-lines at 472.2, 481 and 468 nm) at a reference electron density of 2.7 × 1017 cm-3 and temperature of 1 eV. We have utilized the emission spectral data acquired from well diagnosed plasma produced by the interaction of Nd: YAG laser at wavelength of 1064 nm with ZnO nanomaterial target in open air. The results indicates that the Stark broadening of the Zn I-line at 636.23 nm is centered at 5.06 ± 0.03 ? with a 25% uncertainty at the given reference plasma parameters. The knowledge of the Stark broadening parameter of the 636.23 nm line may be important in the diagnostics of the laser plasma experiments especially in the absence of the Hα-line. 展开更多
关键词 STARK broadening PARAMETER LIBS OES ZnO Zinc Lines
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Theoretical Calculations of Thermal Broadenings and Transition Probabilities of R, R' and B Line-Groups for Ruby
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作者 MA Dong-Ping LIU Yan-Yun CHEN Ju-Rong 《Communications in Theoretical Physics》 SCIE CAS CSCD 2001年第12期723-728,共6页
On the basis of the unified calculation of the thermal shifts of R1 line, R2 line and ground-state-splitting transition probabilities of direct and Raman processes have theoretically been calculated. The thermal broad... On the basis of the unified calculation of the thermal shifts of R1 line, R2 line and ground-state-splitting transition probabilities of direct and Raman processes have theoretically been calculated. The thermal broadenings of R,The theoretically predicted transition probabilities are in good agreement with the experimental ones.PACS numbers: 71.70.Ch, 78.20.Nv, 63.20.Mt, 63.20. 展开更多
关键词 crystal fields ELECTRON-PHONON interaction THERMAL broadening transition probability direct and Raman processes
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Theoretical investigation of the pressure broadening D1 and D2 lines of cesium atoms colliding with ground-state helium atoms
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作者 Moussaoui Abdelaziz Alioua Kamel +1 位作者 Allouche Abdul-rahman Bouledroua Moncef 《Chinese Physics B》 SCIE EI CAS CSCD 2019年第10期300-308,共9页
Full quantum mechanical calculations are performed to determine the broadening in the far wings of the cesium D1 and D2 line shapes arising from elastic collisions of Cs atom with inert helium atoms. The potential ene... Full quantum mechanical calculations are performed to determine the broadening in the far wings of the cesium D1 and D2 line shapes arising from elastic collisions of Cs atom with inert helium atoms. The potential energy curves of the low-lying CsHe molecular states, as well as the related transition dipole moments, are carefully computed from ab initio methods based on state-averaged complete active space self-consistent field-multireference configuration interaction(SACASSCF-MRCI) calculations, involving the spin-orbit effect, and taking into account the Davidson and BSSE corrections.The absorption and emission reduced coefficients are determined in the temperature and wavelength ranges of 323-3000 K and 800-1000 nm, respectively. Both profiles of the absorption and the emission are dominated by the free-free transitions,and exhibit a satellite peak in the blue wing near the wavelength 825 nm, attributed to B^2Σ1/2^+→ X^2Σ1/2^+/transitions. The results are in good agreement with previous experimental and theoretical works. 展开更多
关键词 absorption COEFFICIENT emission COEFFICIENT pressure broadening potential CURVES
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Influence of Doppler-broadening on absorption-dispersion properties in a resonant coherent medium
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作者 徐卫华 高锦岳 《Chinese Physics B》 SCIE EI CAS CSCD 2005年第12期2496-2502,共7页
We investigate the influence of Doppler broadening on absorption-dispersion properties in a four-level atomic system that can evolve from a normal dispersion to an anomalous dispersion. Our results show that the absor... We investigate the influence of Doppler broadening on absorption-dispersion properties in a four-level atomic system that can evolve from a normal dispersion to an anomalous dispersion. Our results show that the absorption-dispersion properties become strongly dependent on the propagation directions of the applied fields if Doppler broadening is taken into account. Especially, the switchover in the sign of the dispersion is still achievable even in the presence of Doppler broadening if properly arranging the propagation directions of the applied fields, which is in contrast with the otherwise behaviours in some other configurations. 展开更多
关键词 Doppler broadening ABSORPTION dispersion SUBLUMINAL SUPERLUMINAL
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On-the-fly Doppler broadening method based on optimal doubleexponential formula
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作者 Rui Chen Li-Juan Hao +2 位作者 Bin Wu Jing Song Li-Qin Hu 《Nuclear Science and Techniques》 SCIE CAS CSCD 2017年第11期251-257,共7页
As temperature changes constantly in nuclear reactor operation, on-the-fly Doppler broadening methods are commonly adopted for generating nuclear cross sections at various temperatures in neutron transport simulation.... As temperature changes constantly in nuclear reactor operation, on-the-fly Doppler broadening methods are commonly adopted for generating nuclear cross sections at various temperatures in neutron transport simulation. Among the existing methods, the widely used SIGMA1 approach is inefficient because it involves error function and Taylor series expansion. In this paper, we present a new on-the-fly Doppler broadening with optimal double-exponential formula based on SuperMC to improve efficiency with given accuracy. In this method, doubleexponential formula in 1/16 steps is used for broadening cross section at low energy, with both accuracy and efficiency. Meanwhile, the Gauss–Hermite quadrature of different orders is used for broadening cross section at resonance energy. The method can generate neutron cross section rapidly and precisely at the desired temperature.Typical nuclide cross sections and benchmarking tests are presented in detail. 展开更多
关键词 On-the-fly DOPPLER broadening CROSS SECTION Double-exponential FORMULA SuperMC
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Spectral Broadening of Ion Bernstein Wave Due to Parametric Decay Instabilities
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作者 甘春芸 项农 于治 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第8期73-76,共4页
The parametric decay instabilities (PDIs) of ion Bernstein wave with different input power levels are investigated via particle-in-cell simulation. It is found that the number of decay channels increases with the in... The parametric decay instabilities (PDIs) of ion Bernstein wave with different input power levels are investigated via particle-in-cell simulation. It is found that the number of decay channels increases with the input power. Resonant mode-mode couplings dominate for a low input power. With increasing the input power, the nonresonant PDIs appear to dissipate the energy of the injected wave and give rise to edge ion heating. The generated child waves couple with each other as well as the injected wave and /or act as a pump wave to excite new decay channels. As a result, the frequency spectrum is broadened with the increase of the input power. 展开更多
关键词 of on with is Spectral broadening of Ion Bernstein Wave Due to Parametric Decay Instabilities ICRF in
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Microscopic—Theoretical Calculations of R—Line Thermal Shifts and Broadenings of MgO:V^2+
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作者 MADong-Ping MANing 《Communications in Theoretical Physics》 SCIE CAS CSCD 2002年第5期631-636,共6页
A great improvement on a previous work (Phys. Rev. B48 (1993) 14067) has been made. By taking into account all the irreducible representations and their components in the electron-phonon interaction (EPI) as well as a... A great improvement on a previous work (Phys. Rev. B48 (1993) 14067) has been made. By taking into account all the irreducible representations and their components in the electron-phonon interaction (EPI) as well as all the levels and the admixtures of basic wavefunctions within d<SUP>3</SUP> electronic configuration, the values of all the parameters in the expressions of thermal shift (TS) and thermal broadening (TB) from EPI for the ground level, R level and R line of MgO:V<SUP>2+</SUP> have microscopically been evaluated; and then, both the TS and TB of R line and various contributions to them have uniformly been calculated. The results are in very good agreement with the experimental data. It is found that all the three terms of TS from EPI are red shifts; the term of the contribution to TS from thermal expansion is blue shift. The Raman term is the largest, and the other terms are also important for TS. The R-line TS of MgO:V<SUP>2+</SUP> comes from the first-order term of EPI. The elastic Raman scattering of acoustic phonons plays a dominant role in R-line TB of MgO:V<SUP>2+</SUP>. For calculations of both the TS and TB, it is very important to take into account all the admixtures of wavefunctions. 展开更多
关键词 crystal fields optical properties electron-phonon interaction electronic structure thermal shift and broadening thermal expansion
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