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(jì)算電磁學(xué)中的有限差分法為基礎(chǔ),計(jì)算冷腔中的場(chǎng)分布并離散亥姆霍茲方程,得到標(biāo)準(zhǔn)的本征值問題: ax = x ; ( 2 )然后根據(jù)矩陣?yán)碚撝械膃igenvalue問題和數(shù)值計(jì)算中的迭代方法,采用改進(jìn)后的chebyshev多項(xiàng)式,在power迭代法的基礎(chǔ)上對(duì)ax = x進(jìn)行多項(xiàng)式迭代,實(shí)現(xiàn)對(duì)頻譜中孤立本征模的萃取; ( 3 )最后將用fortran語(yǔ)言編制的eigenmode模塊加入到chipic軟件中,解決了eigenmode模塊與chipic主代碼的兼容問題,從而實(shí)現(xiàn)了chipic軟件的模式分析功能。