helmholtz formula 中文意思是什麼
helmholtz formula
解釋
亥姆霍茲公式-
First of all, the algorithm base on the boundary problem of helmholtz equation and finite - difference technique, calculate the field in “ cold ” cavity and disperse the helmholtz equation, as a result of the formula : ax = x. secondly, according to the eigenvalue of matrix theory and applied iterative methods, eigenmode adopt a numerical approach which allows the improved chebyshev polynomial iteration which based on the power method to extract the isolated eigenmode in the spectrum. finally, we resolve the problem of compatibility in software and insert the eigenmode module into the chipic which will have the function of eigenmode analysis
具體的說: （ 1 ）首先以電磁理論中的亥姆霍茲方程的邊值問題理論和計算電磁學中的有限差分法為基礎，計算冷腔中的場分佈並離散亥姆霍茲方程，得到標準的本徵值問題: ax = x ; （ 2 ）然後根據矩陣理論中的eigenvalue問題和數值計算中的迭代方法，採用改進后的chebyshev多項式，在power迭代法的基礎上對ax = x進行多項式迭代，實現對頻譜中孤立本徵模的萃取; （ 3 ）最後將用fortran語言編制的eigenmode模塊加入到chipic軟體中，解決了eigenmode模塊與chipic主代碼的兼容問題，從而實現了chipic軟體的模式分析功能。 -
A new approach, the multipole theory ( mt ) method, is briefly described for analysis of waveguide eigenvalue problems. the essential concept is to represent the solution of the waveguide partial differential equation by the generalized mt formula of 2 - d helmholtz equation. the applied rules and the procedure of the mt method are also introduced. by calculating and analyzing some engineering problems, it is shown that the mt method is an effective approach for analysis of waveguide eigenvalue problems
本文利用多極理論分析波導本徵值問題.給出用多極理論分析波導本徵值問題的使用規則和實施方法.實例計算結果表明，用多極理論分析波導本徵值問題，不僅具有較高的計算精度，而且可以很方便地應用於波導工程問題的設計與計算，多極理論是一種有效的波導本徵值分析方法
分享友人