双曲柱的英文
hyperbolic cylinder
例句与用法
- A class of exact solutions of the dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders
摘要研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；计算了极化算符的本征函数。 - ( 2 ) the causation that the caustic phenomena of electromagnetic wave propagation in two - dimension concave reflectors occurs and the types of singularities in caustic fields are investigated , and the conclusion that there are two types of singularities ( fold and cusp ) in caustic fields in two - dimension concave reflectors is obtained ; by symplectic geometrical method , formulations of computing wave fields in and far away from caustic fields in two - dimension concave reflectors are deduced , and the results are plotted in pictures . ( 3 ) the cause of the caustic phenomena of electromagnetic wave propagation in three - dimension concave reflectors and the types of singularities in caustic fields is discussed , and the conclusion that there are three main types of singularities ( fold , cusp and swallowtail ) in caustic fields in three - dimension concave reflectors is obtained ; by symplectic geometrical method , the formulae of computing wave fields in and far away from caustic fields in three - dimension concave reflectors are deduced . particularly , the wave fields in ellipsoid concave reflector are computed , and the results displayed in special sections are given
论文主要包括三个方面： ( 1 )分析了凹面反射的焦散现象，给出了不同凹面反射的焦散图； ( 2 )分析了二维凹面反射波动场焦散现象产生的原因及焦散区奇性的种类，得出了二维凹面反射波动场焦散区奇性主要有折叠( fold )和尖点( cusp )两种的结论，利用辛几何方法构造了圆锥曲面反射波动场非焦散区和焦散区的通用计算公式，并给出了圆柱面、椭圆柱面及双曲柱面反射的计算结果； ( 3 )分析了三维凹面反射波动场焦散现象产生的原因及焦散区奇性的种类，得出了三维凹面反射波动场焦散区奇性主要有折叠（ fom 、尖点kusp和燕尾k ）三种的结论，提出了利用辛几何方法计算三维凹面反射波动场非焦散区和焦散区的计算方法，并给出了三轴不等椭球体凹面反射波动场的计算结果剖面图。
