This paper presents a three-dimensional （3D） coupled-mode model using the direct-global-matrix technique as well as Fourier synthesis. This model is a full wave, two-way three-dimensional model, and is therefore cap...This paper presents a three-dimensional （3D） coupled-mode model using the direct-global-matrix technique as well as Fourier synthesis. This model is a full wave, two-way three-dimensional model, and is therefore capable of providing ac- curate acoustic field solutions. Because the problem of sound propagation excited by a point source in an ideal wedge with perfectly reflecting boundaries is one of a few three-dimensional problems with analytical solutions, the ideal wedge prob- lem is chosen in this work to validate the presented three-dimensional model. Numerical results show that the field results by analytical solutions and those by the presented model are in excellent agreement, indicating that the presented model can serve as a benchmark model for three-dimensional sound propagation problems involving a planar two-dimensional geometry as well as a point source.展开更多
采用6阶WKB方法,研究了带有整体单极子的Reissner-Nordstrm de Sitter黑洞时空中无质量狄拉克场扰动的似正规模。数值结果显示,该黑洞时空中无质量狄拉克场的似正规模频谱取决于黑洞的有效电荷Q和有效质量M、宇宙学常数Λ以及表征对...采用6阶WKB方法,研究了带有整体单极子的Reissner-Nordstrm de Sitter黑洞时空中无质量狄拉克场扰动的似正规模。数值结果显示,该黑洞时空中无质量狄拉克场的似正规模频谱取决于黑洞的有效电荷Q和有效质量M、宇宙学常数Λ以及表征对称性破缺的标度因子η。对于确定的|κ|、模数n、宇宙学常数Λ和b(和η有关),无质量狄拉克场的衰减在宇宙学常数Λ比较小时是随着Q的增加先变快后变慢,而当宇宙学常数比较大时,则是随着Q的增加而变快。对于确定的|κ|、n、Q和b,无质量狄拉克场的衰减随着Λ的增加而变慢。展开更多
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11125420,11434012,and 41561144006)the Knowledge Innovation Program of the Chinese Academy of Sciences
文摘This paper presents a three-dimensional （3D） coupled-mode model using the direct-global-matrix technique as well as Fourier synthesis. This model is a full wave, two-way three-dimensional model, and is therefore capable of providing ac- curate acoustic field solutions. Because the problem of sound propagation excited by a point source in an ideal wedge with perfectly reflecting boundaries is one of a few three-dimensional problems with analytical solutions, the ideal wedge prob- lem is chosen in this work to validate the presented three-dimensional model. Numerical results show that the field results by analytical solutions and those by the presented model are in excellent agreement, indicating that the presented model can serve as a benchmark model for three-dimensional sound propagation problems involving a planar two-dimensional geometry as well as a point source.
文摘采用6阶WKB方法,研究了带有整体单极子的Reissner-Nordstrm de Sitter黑洞时空中无质量狄拉克场扰动的似正规模。数值结果显示,该黑洞时空中无质量狄拉克场的似正规模频谱取决于黑洞的有效电荷Q和有效质量M、宇宙学常数Λ以及表征对称性破缺的标度因子η。对于确定的|κ|、模数n、宇宙学常数Λ和b(和η有关),无质量狄拉克场的衰减在宇宙学常数Λ比较小时是随着Q的增加先变快后变慢,而当宇宙学常数比较大时,则是随着Q的增加而变快。对于确定的|κ|、n、Q和b,无质量狄拉克场的衰减随着Λ的增加而变慢。
