ラブ波の特性方程式を等角写像で表わす方法 (2)
1967 年 20 巻 3 号 p. 153-163
詳細
1967 年 20 巻 3 号 p. 153-163
Following the previous paper (TAZIME (1966)), numerical calculations have been carried out with the electronic computer. Conformal mappings of wave number ξ on frequency ω-plane are obtained in which γ=ω/ξ was used as a gobetween. Complete RIEMANN sheets have not been constructed. Only a cut runs from one of singular points parallel to the imaginary axis. Overlaps of ξ on ω-plane are avoided by the cut. Two sheets thus decided correspond in some respect to those exhibited by GILBERT (1964). A higher mode has been also investigated in connexion with the ground mode. Using the present mappings, the contour integration on ω-plane may be executed along any path, for instance not only the path of the stationary phase but also that of the steepest descent, when complete RIEMANN sheets will be obtained.
