Formation of Hot Images in Laser Beams through a Self-defocusing Kerr Medium Slab

A nonlinear hot image is usually thought as of a special case of self-focusing, and thus occurs when a laser beam propagates through a slab of self-focusing medium. Here we show theoretically that a hot image may also be formed by a thin slab of self-defocusing medium. The physical origin for this hot image formation is akin to the in-line volume-phase holographic imaging due to the intensity-dependent refractive-index modulation of the self- defocusing medium. NumericM simulations confirm the theoretical prediction and further identify the dependence of the hot image on the beam power, the modulation depth of obscuration and the thickness of self-defocusing medium. The analysis presented here brings new insight into the physics of hot image formation in the high power laser system.     

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.     

科里奥利力对气垫转盘的影响

对气垫转盘无外力矩自转现象的原因进行了探讨,理论分析和实验数据均表明:地球自转而产生的科里奥利力是气垫转盘无外力矩自转的最可能原因.这将为气垫转盘实验的改进提供重要的参考和依据.     

发光二极管负电容与复合发光关系

利用正向交流(ac)小信号方法对发光二极管(LED)的电容-电压特性进行测量,可以观察到发光二极管中的负电容现象。通过对复合发光机理和发光二极管p-n结进行分析,得到了发光二极管在特定的正向电压范围内,由于发光概率复合急剧变化出现了＜0的现象;当＜0时,分析发光二极管结电容在正向偏压下对交流小信号的响应得到发光二极管表观电容的电流相位落后交流小信号电压相位,发光二极管表观电容表现为一个负电容。首次得到了发光二极管负电容与复合发光的关系表达式。     

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.     

A quasi-discrete Hankel transform for nonlinear beam propagation

We propose and implement a quasi-discrete Hankel transform algorithm based on Dini series expansion (DQDHT) in this paper. By making use of the property that the zero-order Bessel function derivative J' ₀(0)=0, the DQDHT can be used to calculate the values on the symmetry axis directly. In addition, except for the truncated treatment of the input function, no other approximation is made, thus the DQDHT satisfies the discrete Parseval theorem for energy conservation, implying that it has a high numerical accuracy. Further, we have performed several numerical tests. The test results show that the DQDHT has a very high numerical accuracy and keeps energy conservation even after thousands of times of repeating the transform either in a spatial domain or in a frequency domain. Finally, as an example, we have applied the DQDHT to the nonlinear propagation of a Gaussian beam through a Kerr medium system with cylindrical symmetry. The calculated results are found to be in excellent agreement with those based on the conventional 2D-FFT algorithm, while the simulation based on the proposed DQDHT takes much less computing time.     

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.     

GaN发光二极管表观电阻极值分析

利用正向交流(ac)小信号方法对GaN发光二极管的电容-电压特性进行测量,可以观察到GaN发光二极管中的负电容现象。利用LED串联等效电路对表观电容和表观电阻进行了测量,表观电阻-正向电压曲线出现了一个极值点。通过对相关文献分析,提出负电容现象的根本原因是在较高的正偏下微分电容dQ/dU<0;推论出pn结的微分电容先随正向偏压的增大而急剧增大,当出现复合发光后随正向偏压的增大而减小,直到随正向偏压的增大而出现负值;正向偏置电压较大时,结电导电流的变化率根据I-V特性曲线取极大值,此时微分电容由于强复合效应已快速变小,表观电阻有极大值;得到了表观电阻极大值表达式。表观电阻与正向电压曲线的极值点与理论模型相吻合,证明了该理论模型的正确性。     

Fresnel数对光束填充因子的影响

本文利用快速汉克尔变换算法研究了高功率激光束在自空间传输过程中形成低频调制对光束质量的影响,指出了衍射调制深度跟光束宽度及传输距离等参数之间的变化关系.这种关系给出了如何选择传输参数以减少不利的低频调制的参考方法.     

狭义相对论中事件概念的教学

论述了事件概念的含义及准确理解事件在洛伦兹变换和相对论时空理论（运动时钟延缓、运动尺寸缩短等）教学中的作用．