With the development of production and technology , non - orthogonal coordinate system is demanded in more and more fields 隨著生產(chǎn)和科學(xué)的發(fā)展,出現(xiàn)了越來越多的場合要求采用非正交系坐標(biāo)測量系統(tǒng)。
I carried my research on both the two computation methods and fruitful results were obtained . for the fdtd method , i solved the instability problem of the method in the non - orthogonal coordinate system . for the pwe method , i introduce the linear transform in to calculate analytically the fourier coefficients of complicated photonic crystals 對于有限時(shí)域差分方法,我解決了一個(gè)影響這種方法在斜坐標(biāo)使用的穩(wěn)定性問題,得到了傳統(tǒng)的yee型差分在斜坐標(biāo)里的擴(kuò)充;對于平面波展開方法,我引入了線性變化求富里葉展開的系數(shù),這種方法的好處可以很方便快捷的獲得復(fù)雜光子晶體的富里葉系數(shù)。