Approximate analytical expressions of apertured broadband beams in the far field

The approximate analytical expressions of the apertured broadband beams in the far field with Gaussian and Laguerre-Gaussian spatial modes are presented.For the radially polarized Laguerre-Gaussian beam,the result reveals that the electromagnetic field in the far field is transverse magnetic.The influences of bandwidth(Γ) and truncation parameter(C 0) on the transverse intensity distribution of the Gaussian beam and on the energy flux distribution of radially polarized Laguerre-Gaussian beam are analysed.     

啁啾脉冲堆积宽带激光的时间与频谱特性分析

理论研究了啁啾堆积脉冲宽带激光时间与频谱特性与子脉冲参量的关系.结果表明,变换极限子脉冲堆积所得的脉冲平滑,频率啁啾型与时间啁啾型子脉冲堆积所得脉冲出现时间调制,平滑性变差,从频谱上看,前者出现单一谱线,而后者可看到多条谱线|随着子脉冲间延迟的增加,堆积脉冲由脉冲间干涉引起的时间调制增多,但幅度减弱,而频谱的谱线数量增加.所得结果可为适当地选择堆积脉冲参量以获得所需的时间与频谱形状的宽带激光提供参考.     

Beam evolutions of solitons in strongly nonlocal media with fading optical lattices

We address the impact of imprinted fading optical lattices on the beam evolution of solitons in strongly nonlocal nonlinear media. The results show that the width of the soliton experiences a change with the increasing propagation distance, the critical power for the soliton varies with the lattice fading away, and the soliton breathing is affected by the initial lattice depth and the nonlocality degree.     

Radiation Rate of a Two-Level Atom in a Spacetime with a Reflecting Boundary

We study a two-level atom in interaction with a real massless scalar quantum field in a spacetime with a reflecting boundary. We calculate the rate of change of the atomic energy for the atom. The presence of the boundary modifies the quantum fluctuations of the scalar field, which in turn modifies the rate of change of the atomic energy. It is found that the modifications induced by the presence of a boundary make the spontaneous radiation rate of an excited atom to oscillate near the boundary and this oscillatory behaviour may offer a possible opportunity for experimental tests for geometrical （boundary） effects in flat spacetime.     

被圆相位片衍射的空心高斯光束的远场矢量结构特征

基于麦克斯韦方程组解的矢量角谱表述与稳相法,在仅有远场近似的条件下,得到了被圆相位片衍射的空心高斯光束远场能流密度分布的解析表达式.结果表明,光束的总能流可以表示为自由项与附加项之和,其中附加项是相位片对能流分布的影响;总能流、自由项能流、附加项能流又可以分别表示为各自的TE项和TM项之和.利用所导出的公式,描绘了空心高斯光束的总能流、自由项能流、附加项能流及其各自的TE项与TM项能流的横截面分布图.讨论了截断参数与附加相移对纵向总能流分布的影响.     

啁啾脉冲堆积宽带激光的时间与频谱特性分析

理论研究了啁啾堆积脉冲宽带激光时间与频谱特性与子脉冲参量的关系.结果表明,变换极限子脉冲堆积所得的脉冲平滑,频率啁啾型与时间啁啾型子脉冲堆积所得脉冲出现时间调制,平滑性变差,从频谱上看,前者出现单一谱线,而后者可看到多条谱线;随着子脉冲间延迟的增加,堆积脉冲由脉冲间干涉引起的时间调制增多,但幅度减弱,而频谱的谱线数量增加.所得结果可为适当地选择堆积脉冲参量以获得所需的时间与频谱形状的宽带激光提供参考.     

钕玻璃的热致断裂及泵浦极限

以激光介质的第一主应力为评判标准,依据Griffith微裂纹理论作为断裂临界应力,基于已报道的断裂实验数据和3维、瞬态的有限元计算,建立了预测一定泵浦参数下钕玻璃断裂可能性的Weibull统计模型,同时分析了影响介质泵浦极限的其它因素。结果表明:材料的抛光工艺决定了介质的断裂应力;对于短脉冲大能量方式工作的钕玻璃介质,基于美国20世纪90年代的抛光水平,1 Hz以下低重频时应优先考虑18 kWcm-2的泵浦饱和极限,10 Hz以上高重频时应优先考虑介质的断裂极限。     

对一个追赶碰撞问题的延伸讨论

本文对普通力学中一个追赶碰撞问题进行了详细的求解和讨论。分析了A与B两个质点作非完全弹性碰撞发生多次碰撞的条件,得到了两质点至少发生四次碰撞的条件。     

基于Dini展开的高阶Hankel变换及其在光束传输中的应用

基于Dini级数展开, 导出了p(>0) 阶准离散Hankel变换(the pth-order quasi-discrete Hankel transform based on Dini series expansion, pDQDHT)算法, 并给出了该算法在光束传输中的应用. 通过不同输入函数分别对pDQDHT算法进行测试及光束通过透镜传输的应用实例, 结果表明: pDQDHT算法不仅精度高于现有的Hankel变换算法, 可以进行多次正、逆变换, 能广泛应用于光束分步传输问题, 而且执行速度也与一般的快速Hankel变换算法相当. 关键词： Dini级数展开 高阶Hankel变换 光束传输