In this paper the concept of first boundary condition （i）（i = 0, 1, 2,…, n） is proposed based on [1], the existence of two times spline interpolant under first boundary condition is proved using constructivity me...In this paper the concept of first boundary condition （i）（i = 0, 1, 2,…, n） is proposed based on [1], the existence of two times spline interpolant under first boundary condition is proved using constructivity method and the uniqueness of the two times spline interpolant under first boundary condition（n） is proved too.展开更多
It was shown experimentally that for a 65-fs 17-J pulse,the effect of filamentation instability,also known as small-scale self-focusing,is much weaker than that predicted by stationary and nonstationary theoretical mo...It was shown experimentally that for a 65-fs 17-J pulse,the effect of filamentation instability,also known as small-scale self-focusing,is much weaker than that predicted by stationary and nonstationary theoretical models for high B-integral values.Although this discrepancy has been left unexplained at the moment,in practice no signs of filamentation may allow a breakthrough in nonlinear pulse post-compression at high laser energy.展开更多
文摘In this paper the concept of first boundary condition （i）（i = 0, 1, 2,…, n） is proposed based on [1], the existence of two times spline interpolant under first boundary condition is proved using constructivity method and the uniqueness of the two times spline interpolant under first boundary condition（n） is proved too.
基金This work was supported by the Ministry of Science and Higher Education of the Russian Federation No.075-15-2020-906(Center of Excellence‘Center of Photonics’).
文摘It was shown experimentally that for a 65-fs 17-J pulse,the effect of filamentation instability,also known as small-scale self-focusing,is much weaker than that predicted by stationary and nonstationary theoretical models for high B-integral values.Although this discrepancy has been left unexplained at the moment,in practice no signs of filamentation may allow a breakthrough in nonlinear pulse post-compression at high laser energy.
