搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

光子与相对论麦克斯韦分布电子散射的能谱角度谱研究

李树

引用本文:
Citation:

光子与相对论麦克斯韦分布电子散射的能谱角度谱研究

李树

Photon spectrum and angle distribution for photon scattering with relativistic Maxwellian electrons

Li Shu
PDF
导出引用
  • 光子与相对论麦克斯韦分布电子散射的描述及能谱角度谱计算非常复杂且费时.本文提出了一种光子与相对论麦克斯韦速度分布电子散射的蒙特卡罗(MC)模拟方法,该方法能够细致模拟高温等离子体中任意能量光子与任意温度电子的Compton和逆Compton散射问题.对于散射后光子的能谱和角度谱参数,可以根据电子温度抽样若干不同状态的电子,分别模拟其与光子发生散射,可以得到各次散射后的光子能量和偏转角度,取统计平均后的结果即可获得该光子与该温度电子散射的能谱和角度谱分布.根据该方法编写了光子与相对论电子散射MC模拟程序,开展了高温全电离等离子体中光子与相对论电子散射的能谱角度谱计算和分析,分析结果显示:热运动电子将展宽出射光子能谱,且低能光子与高温电子散射后的蓝移现象明显;出射光子的角度谱很复杂,其决定于入射光子能量、出射光子能量及电子温度.基于该方法计算并以数表形式给出的光子-相对论电子散射能谱角度谱数据,可以供辐射输运数值模拟程序使用.
    Description of photon scattering with relativistic Maxwellian electrons is numerically complex, and computationally time consuming for the final photon energy and angle distribution. A Monte Carlo method is used to simulate photon scattering with relativistic Maxwellian electrons. The main idea of this method is to transform the interaction of photonmoving electrons in the laboratory coordinate system into that in a new coordinate system in which the electrons are at rest, then to use the exact Klein-Nishina formula to describe this interaction and obtain the outgoing photon energy and angle, finally, to transform it into the primary laboratory coordinate system. In sum, there are eight steps, i.e.two two-dimensional (2D) transforms and two three-dimensional (3D) transforms and two Lorentz transforms, and two sampling. Repeating this process, summarizing and averaging all computed energy values and angles, the distribution of scattered energy and angle can be obtained.
    A Monte Carlo processor is developed to simulate a photon of any energy interacting with electrons at any temperature. Some typical cases are simulated. The computed results indicate that the photon spectrum is different from that of the photon scattering with rest electrons remarkably, especially for a low energy photon scattering with the high temperature electrons. The main phenomena are Doppler broading and blue shifting. The moving electron can extend the distribution of the outgoing photon energy, and for a low energy photon scattering with the high temperature electrons, the photon maybe obtains the energy from electrons with significant probability. The angle distribution is very complicated, and it is determined by the incident photon energy, the outgoing photon energy, and the electron temperature. This processor can calculate the energy scattering differential cross-sections or energy-angle scattering double differential cross-sections, and provide the data in a tabulated form for other transport methods.
    [1]

    Evans R D 1955 The Atomic Nucleus (New York: McGraw-Hill Press) p677

    [2]

    Salvat F, Fernandez-Varea J M, Sempau J 2006 PENELOPE-2006: A Code System for Monte Carlo Simulation of Electron and Photon Transport Workshop Proceedings Barcelona, Spain p60

    [3]

    Dirac P A M 1925 Monthly Notices R. Astron. Soc. 85 825

    [4]

    Edmonds F N 1953 Astrophys. J. 117 298

    [5]

    Wienke B R 1973 Nucl. Sci. Engin. 52 247

    [6]

    Cooper G E 1974 J. Quant. Spectr. Rad. Transfer 14 887

    [7]

    Wienke B R 1975 J. Quant. Spectr. Rad. Transfer 15 151

    [8]

    Wienke B R, Lathrop B L 1984 J. Comp. Phys. 53 331

    [9]

    Brinkmann W 1984 J. Quant. Spectrosc. Radiat. Transfer 31 417

    [10]

    Wienke B R, Hendricks J S, Booth T E 1985 J. Quant. Spectrosc. Radiat. Transfer 33 555

    [11]

    Wienke B R, Lathrop B L, Devaney J J 1986 Radiation Effects 94 977

    [12]

    Prasad M K, Kershaw D S, Beason J D 1986 Appl. Phys. Lett. 48 1193

    [13]

    Kershaw D S 1987 J. Quant. Spectr. Rad. Transfer 38 347

    [14]

    Shestakov A I, Kershaw D S, Prasad M K 1988 J. Quant. Spectr. Rad. Transfer 40 577

    [15]

    Webster J B, Stephan B G, Bridgman C J 1973 Trans. Amer. Nucl. Soc. 17 574

    [16]

    Wienke B R, Lathrop B L, Devaney J J 1984 Nucl. Sci. Engin. 88 71

    [17]

    Booth T E, Hendricks J S 1985 Nucl. Sci. Engin. 90 248

    [18]

    Fleck J A, Cummings J D 1971 J. Computat. Phys. 8 313

    [19]

    Lux I, Koblinger L 1991 Monte Carlo Particle Transport Methods: Neutron and Photon Calculations (Boston: CRC Press) p44

    [20]

    Kahn H 1954 Applications of Monte Carlo (AECU-3259 Report, National Technical Information Service)

    [21]

    Koblinger L 1975 Nucl. Sci. Engin. 56 218

    [22]

    Pomraning G C 1972 J. Quant. Spectr. Rad. Transfer 12 1047

    [23]

    数学手册编写组 1979 数学手册 (北京: 高等教育出版社) 第330页

    Editor Group 1979 Handbook of Mathematics (Beijing: Higher Education Press) p330

  • [1]

    Evans R D 1955 The Atomic Nucleus (New York: McGraw-Hill Press) p677

    [2]

    Salvat F, Fernandez-Varea J M, Sempau J 2006 PENELOPE-2006: A Code System for Monte Carlo Simulation of Electron and Photon Transport Workshop Proceedings Barcelona, Spain p60

    [3]

    Dirac P A M 1925 Monthly Notices R. Astron. Soc. 85 825

    [4]

    Edmonds F N 1953 Astrophys. J. 117 298

    [5]

    Wienke B R 1973 Nucl. Sci. Engin. 52 247

    [6]

    Cooper G E 1974 J. Quant. Spectr. Rad. Transfer 14 887

    [7]

    Wienke B R 1975 J. Quant. Spectr. Rad. Transfer 15 151

    [8]

    Wienke B R, Lathrop B L 1984 J. Comp. Phys. 53 331

    [9]

    Brinkmann W 1984 J. Quant. Spectrosc. Radiat. Transfer 31 417

    [10]

    Wienke B R, Hendricks J S, Booth T E 1985 J. Quant. Spectrosc. Radiat. Transfer 33 555

    [11]

    Wienke B R, Lathrop B L, Devaney J J 1986 Radiation Effects 94 977

    [12]

    Prasad M K, Kershaw D S, Beason J D 1986 Appl. Phys. Lett. 48 1193

    [13]

    Kershaw D S 1987 J. Quant. Spectr. Rad. Transfer 38 347

    [14]

    Shestakov A I, Kershaw D S, Prasad M K 1988 J. Quant. Spectr. Rad. Transfer 40 577

    [15]

    Webster J B, Stephan B G, Bridgman C J 1973 Trans. Amer. Nucl. Soc. 17 574

    [16]

    Wienke B R, Lathrop B L, Devaney J J 1984 Nucl. Sci. Engin. 88 71

    [17]

    Booth T E, Hendricks J S 1985 Nucl. Sci. Engin. 90 248

    [18]

    Fleck J A, Cummings J D 1971 J. Computat. Phys. 8 313

    [19]

    Lux I, Koblinger L 1991 Monte Carlo Particle Transport Methods: Neutron and Photon Calculations (Boston: CRC Press) p44

    [20]

    Kahn H 1954 Applications of Monte Carlo (AECU-3259 Report, National Technical Information Service)

    [21]

    Koblinger L 1975 Nucl. Sci. Engin. 56 218

    [22]

    Pomraning G C 1972 J. Quant. Spectr. Rad. Transfer 12 1047

    [23]

    数学手册编写组 1979 数学手册 (北京: 高等教育出版社) 第330页

    Editor Group 1979 Handbook of Mathematics (Beijing: Higher Education Press) p330

  • [1] 张显, 刘仕倡, 魏军侠, 李树, 王鑫, 上官丹骅. 结合源偏倚和权窗的蒙特卡罗全局减方差方法. 物理学报, 2024, 73(4): 042801. doi: 10.7498/aps.73.20231493
    [2] 上官丹骅, 闫威华, 魏军侠, 高志明, 陈艺冰, 姬志成. 多物理耦合计算中动态输运问题高效蒙特卡罗模拟方法. 物理学报, 2022, 71(9): 090501. doi: 10.7498/aps.71.20211474
    [3] 邓力, 李瑞, 王鑫, 付元光. 特征γ射线谱分析的蒙特卡罗模拟技术. 物理学报, 2020, 69(11): 112801. doi: 10.7498/aps.69.20200279
    [4] 陈忠, 赵子甲, 吕中良, 李俊汉, 潘冬梅. 基于蒙特卡罗-离散纵标方法的氘氚激光等离子体聚变反应率数值模拟. 物理学报, 2019, 68(21): 215201. doi: 10.7498/aps.68.20190440
    [5] 迟晓丹, 胡勇. 中心对称的阻挫磁体中斯格明子直径的调节. 物理学报, 2018, 67(13): 137502. doi: 10.7498/aps.67.20172709
    [6] 董烨, 刘庆想, 庞健, 周海京, 董志伟. 材料二次电子产额对腔体双边二次电子倍增的影响. 物理学报, 2018, 67(3): 037901. doi: 10.7498/aps.67.20172119
    [7] 李树. 光子与相对论麦克斯韦分布电子散射截面的蒙特卡罗计算方法. 物理学报, 2018, 67(21): 215201. doi: 10.7498/aps.67.20180932
    [8] 董烨, 刘庆想, 庞健, 周海京, 董志伟. 腔体双边二次电子倍增一阶与三阶模式瞬态特性对比. 物理学报, 2017, 66(20): 207901. doi: 10.7498/aps.66.207901
    [9] 林舒, 闫杨娇, 李永东, 刘纯亮. 微波器件微放电阈值计算的蒙特卡罗方法研究. 物理学报, 2014, 63(14): 147902. doi: 10.7498/aps.63.147902
    [10] 王海华, 孙贤明. 两种按比例混合颗粒系的多次散射模拟. 物理学报, 2012, 61(15): 154204. doi: 10.7498/aps.61.154204
    [11] 文德智, 卓仁鸿, 丁大杰, 郑慧, 成晶, 李正宏. 蒙特卡罗模拟中相关变量随机数序列的产生方法. 物理学报, 2012, 61(22): 220204. doi: 10.7498/aps.61.220204
    [12] 李鹏, 许州, 黎明, 杨兴繁. 金刚石薄膜中二次电子输运的蒙特卡罗模拟. 物理学报, 2012, 61(7): 078503. doi: 10.7498/aps.61.078503
    [13] 张宝武, 张萍萍, 马艳, 李同保. 铬原子束横向一维激光冷却的蒙特卡罗方法仿真. 物理学报, 2011, 60(11): 113701. doi: 10.7498/aps.60.113701
    [14] 张鹏飞, 苏兆锋, 孙剑锋, 杨海亮, 李永东, 高屹, 孙江, 王洪广, 尹佳辉, 梁天学, 孙凤举, 王志国. 阳极杆箍缩二极管产生X射线能谱的模拟计算. 物理学报, 2011, 60(10): 100204. doi: 10.7498/aps.60.100204
    [15] 朱方, 张兆传, 戴舜, 罗积润. 电介质表面纵向射频电场对次级电子倍增效应的影响. 物理学报, 2011, 60(8): 084103. doi: 10.7498/aps.60.084103
    [16] 赵学峰, 李三伟, 蒋刚, 王传珂, 李志超, 胡峰, 李朝光. 超热电子与金黑腔靶作用产生硬X射线的蒙特卡罗模拟. 物理学报, 2011, 60(7): 075203. doi: 10.7498/aps.60.075203
    [17] 金晓林, 黄桃, 廖平, 杨中海. 电子回旋共振放电中电子与微波互作用特性的粒子模拟和蒙特卡罗碰撞模拟. 物理学报, 2009, 58(8): 5526-5531. doi: 10.7498/aps.58.5526
    [18] 赵宗清, 丁永坤, 谷渝秋, 王向贤, 洪 伟, 王 剑, 郝轶聃, 袁永腾, 蒲以康. 超短超强激光与铜靶相互作用产生Kα源的蒙特卡罗模拟. 物理学报, 2007, 56(12): 7127-7131. doi: 10.7498/aps.56.7127
    [19] 孙贤明, 韩一平, 史小卫. 降雨融化层后向散射的蒙特卡罗仿真. 物理学报, 2007, 56(4): 2098-2105. doi: 10.7498/aps.56.2098
    [20] 郝樊华, 胡广春, 刘素萍, 龚 建, 向永春, 黄瑞良, 师学明, 伍 钧. 钚体源样品γ能谱计算的蒙特卡罗方法. 物理学报, 2005, 54(8): 3523-3529. doi: 10.7498/aps.54.3523
计量
  • 文章访问数:  5122
  • PDF下载量:  38
  • 被引次数: 0
出版历程
  • 收稿日期:  2018-09-30
  • 修回日期:  2018-11-05
  • 刊出日期:  2019-01-05

/

返回文章
返回