New numerical method to solve eigenvalue equation of surface wave 計(jì)算表面波特征方程的一種新的數(shù)值方法
The first order weakly - guiding approximation for the eigenvalue equation of hybrid modes in a step - index optical fiber 階躍光纖中混合模式特征方程的一階弱導(dǎo)近似
Then use the finite element method to analyse the dielectric loaded resonant cavity , and get the generalized eigenvalue equation ax = k02bx , in matrix b includes the unknown r 然后采用有限元分析的方法來(lái)分析介質(zhì)加載諧振腔,并得到待求廣義特征方程ax = k02bx ,其中b中含有未知數(shù)r 。
For the mesoscopic metal ring system in external magnetic field , supposing the system has a symmetry under translation in charge space , the quantum current and the quantum energy spectrum in mesoscopic metal ring are given by solving thire eigenvalue equations ; and the quantum fluctuations of the current and the energy have been calculated by the character of the minimum shift operator 摘要針對(duì)處于外磁場(chǎng)中的介觀金屬環(huán)系統(tǒng),假設(shè)在電荷空間中具有變換的對(duì)稱(chēng)性,通過(guò)求解本征值方程給出系統(tǒng)的量子電流、能譜關(guān)系;利用最小平移算符的性質(zhì)等,計(jì)算介觀金屬環(huán)中電流和能量的量子漲落。
According to eigenvalue equation ( general formula ) of the energy method of the plane steel frame structure stability , and considering the restriction of the end of the column of the main steel frame and function of deflection curve gained from the differential balance equation general resolution , we get the equation for calculating the length coefficient of the main frame structure stability of the steel arch gate and the resolutions are also given 根據(jù)平面剛架穩(wěn)定性能量法特征值方程(通式) ,考慮弧形鋼閘門(mén)主框架柱的柱端約束的特殊情況,求出撓曲線函數(shù)(試解函數(shù))通解,得到弧形鋼閘門(mén)主框架柱穩(wěn)定性計(jì)算長(zhǎng)度系數(shù)方程。其中弧門(mén)主框架主橫梁式形框架的臨界荷載比較現(xiàn)行規(guī)范推薦的有限元法簡(jiǎn)單方便、結(jié)果精確及物理概念明確等優(yōu)點(diǎn)。