Performance of the LSFD method is compared with conventional FD schemes. Generally, 9-point stencils for 2D cases and 27-point stencils for 3D cases are used for the approximation of the first and second order derivat...Performance of the LSFD method is compared with conventional FD schemes. Generally, 9-point stencils for 2D cases and 27-point stencils for 3D cases are used for the approximation of the first and second order derivatives obtained with conventional central difference schemes. When the same stencils are used, explicit LSFD formulations for approximation of the first and second order derivatives are presented. The LSFD formulations are actually a combination of conventional central difference schemes along relevant mesh lines. It has been found that LSFD formulations need much less iteration steps than the conventional FD schemes to converge, and the ratio of mesh spacing in the x and y directions is an important parameter in the LSFD application, with a great impact on stability of LSFD computation.展开更多
As early as the end of the 1960s, people already put forward an idea of LSFD crystal.In 1979 V. G. Dmitriev et al. first produced LSFD Nd:LN crystal and observed thephenomenon of LSFD in their laboratory. In 1981 L. M...As early as the end of the 1960s, people already put forward an idea of LSFD crystal.In 1979 V. G. Dmitriev et al. first produced LSFD Nd:LN crystal and observed thephenomenon of LSFD in their laboratory. In 1981 L. M. Dorozhkin et al. reportedthe LSFD effect of NYAB crystal from 1.32μm to 0.66μm. In 1990 N. Y. Chou etal. first briefly reported the investigation on the third LSFD Cr:KTP crystal. Be-fore 1990 we had begun to study the Cr:KTP crystal in our laboratory.展开更多
基金supported by the National Natural Science Foundation of China (Nos. 10872005, 10532010)
文摘Performance of the LSFD method is compared with conventional FD schemes. Generally, 9-point stencils for 2D cases and 27-point stencils for 3D cases are used for the approximation of the first and second order derivatives obtained with conventional central difference schemes. When the same stencils are used, explicit LSFD formulations for approximation of the first and second order derivatives are presented. The LSFD formulations are actually a combination of conventional central difference schemes along relevant mesh lines. It has been found that LSFD formulations need much less iteration steps than the conventional FD schemes to converge, and the ratio of mesh spacing in the x and y directions is an important parameter in the LSFD application, with a great impact on stability of LSFD computation.
基金Project supported by the National Natural Science Foundation of China.
文摘As early as the end of the 1960s, people already put forward an idea of LSFD crystal.In 1979 V. G. Dmitriev et al. first produced LSFD Nd:LN crystal and observed thephenomenon of LSFD in their laboratory. In 1981 L. M. Dorozhkin et al. reportedthe LSFD effect of NYAB crystal from 1.32μm to 0.66μm. In 1990 N. Y. Chou etal. first briefly reported the investigation on the third LSFD Cr:KTP crystal. Be-fore 1990 we had begun to study the Cr:KTP crystal in our laboratory.
