高强度三次谐波转换中位相扰动的变化

 以I/II类角度失谐三倍频方案为例，详细讨论了在高强度三次谐波转换过程中入射基频光的位相扰动和振幅调制对三倍频光位相扰动的影响，定量分析了基频光和三倍频光的位相扰动之间的变化关系。模拟结果表明，三倍频光的位相扰动幅度近似为基频光的三倍；入射基频光的位相分布对三倍频光的影响比振幅调制的影响更加明显，但是当入射功率密度较大时，基频光的振幅调制对三倍频光位相分布的影响明显增大。     

Application of potential harmonic expansion method to BEC: Thermodynamic properties of trapped23Na atoms

We adopt the potential harmonics expansion method for anab initio solution of the many-body system in a Bose condensate containing interacting bosons. Unlike commonly adopted mean-field theories, our method is capable of handling two-body correlation properly. We disregard three- and higher-body correlations. This simplification is ideally suited to dilute Bose Einstein condensates, whose number density is required to be so small that the interparticle separation is much larger than the range of two-body interaction to avoid three- and higher-body collisions, leading to the formation of molecules and consequent instability of the condensate. In our method we can incorporate realistic finite range interactions. We calculate energies of low-lying states of a condensate containing²³Na atoms and some thermodynamical properties of the condensate.     

Time-dependent diffusion and transport calculations using a finite-element-spherical harmonics method

In this paper, the finite-element-spherical harmonics (FE-P_N) method is applied to the solution of transient Boltzmann transport equation. Firstly, transport and diffusion calculations are obtained for homogeneous and inhomogeneous circular regions. Results are compared in order to show the effects of different absorption coefficient values on the propagation of photons. Significant differences between two theories are shown to occur especially in cases when the absorption is increased. Secondly, to validate the FE-P_N method, results from this method are compared with Monte Carlo calculations for different cases. Comparisons show good agreements between FE-transport and Monte Carlo solutions and demonstrate the correctness of the results obtained.     

对超短脉冲强激光在大气通道中产生的三次谐波偏振特性及白光光谱调制特性的研究

研究了超短脉冲强激光在大气中传输产生电离通道后辐射的三次谐波强度随激光偏振的变化.此外，还研究了产生的白光辐射在短波长上的有规律的谱调制，分析了白光谱调制的产生机理. 关键词： 超短脉冲激光 大气通道 超连续辐射 三次谐波     

Design of chirped Mo/Si multilayer mirror in the extreme ultraviolet region

The chirped Mo/Si multilayer mirror in the extreme ultraviolet region is designed to obtain sub-femtosecond pulses from high-order harmonics. Numerical simulations of temporal profile of the pulses are made for superposition of incident high-order harmonics and that of reflected ones by the chirped multilayer mirror.The normal incidence reflectivity and chirp in the wavelength range of 12.5 - 16.5 nm are 6.7% ±0.5%and-3617±171 as2, respectively. Simulation results indicate that the designed chirped multilayer mirror can be used for producing 104-as pulses.     

Analytical Solutions of the Kratzer-Fues Potential in an Arbitrary Number of Dimensions

No Heading Some aspects of the N dimensional Kratzer-Fues potential are discussed, which is an extension of the combined Coulomb-like potential with inverse quadratic potential in N dimensions. The analytical solutions obtained (eigenfunctions and eigenvalues) are dimensionally dependent, so also, the solutions depend on the value of the coefficient of the inverse quadratic term. The expectation values for < r^–2 >, < r^–1 > and the virial theorem for this potential are obtained and the values are also dimensions and parameter dependent.     

Evanescent wave contribution to the diffracted amplitude for spherical geometry

Calculation of the diffracted amplitude for the diffracting aperture on a sphere is briefly reviewed. Explicit formulas are given to compute the diffracted amplitude. In these formulas the real wave and evanescent wave contributions are discussed.     

Interpolation by Polynomials and Radial Basis Functions on Spheres

The paper obtains error estimates for approximation by radial basis functions on the sphere. The approximations are generated by interpolation at scattered points on the sphere. The estimate is given in terms of the appropriate power of the fill distance for the interpolation points, in a similar manner to the estimates for interpolation in Euclidean space. A fundamental ingredient of our work is an estimate for the Lebesgue constant associated with certain interpolation processes by spherical harmonics. These interpolation processes take place in ``spherical caps' whose size is controlled by the fill distance, and the important aim is to keep the relevant Lebesgue constant bounded. This result seems to us to be of independent interest. March 27, 1997. Dates revised: March 19, 1998; August 5, 1999. Date accepted: December 15, 1999.     

等离子体密度标长对高次谐波转换效率的影响

通过等离子体粒子模拟研究了在强激光与等离子体相互作用产生高次谐波的过程中,等离子体密度标长对转换效率的影响,计算了在不同密度标长下p偏振非相对论强度激光与高密度等离子体相互作用产生高次谐波的转换效率,发现等离子体密度标长对转换效率有重要的影响,这种影响与谐波级次,等离子体密度,激光脉冲宽度有关。