高斯光束非线性“热像”效应研究

高功率激光系统中非线性“热像”强度可能达到光学元件损伤阀值，从而对系统的安全运行造成威胁.以往的非线性“热像”现象研究都是基于无限大平面光波背景，但实际系统中传输的是有限束宽光束.本文以高斯光束为例，基于无像差自聚焦理论分析了有限束宽光束的“热像”形成规律.结果表明，高斯光束“热像”的强度与位置在光束腰斑较小时与平面光波情况有明显不同，但光束腰斑较衍射物大得多时，高斯光束可以近似当作平面光波处理.     

带宽对强光束非线性成像的抑制效应

 宽频带激光驱动器中光束的传输与常规的窄带系统有很大区别。数值分析了宽带激光的成像这一非线性传输现象，并与窄带激光的成像特性进行了比较，发现宽带激光的热像位置和窄带激光基本相同，但宽带激光的热像强度比窄带激光低很多，说明宽带激光能很好地抑制非线性成像的形成。此外，通过改变脉冲啁啾和脉冲宽度两种方式分别揭示了带宽对非线性成像和光束匀滑的影响，发现不同带宽情形下热像的位置基本相同，均处于共轭位置处；热像的光强和热像处光束的调制对比度随着啁啾值的增大而降低，随脉冲宽度的增大而增大。由于受到群速度色散效应的作用，带宽能够阻碍热像的形成，并提高光束的匀滑度。     

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.     

可用于红外探测器的自组织量子线及其带间和子带间光学跃迁

研究了自组织量子线Ga1-xInxAs的结构、应力分布及其光学性质.模拟了微应力导致的横向成序及其导引短周期超晶格形成量子线的过程，并计算出量子线在原子尺度上的微应力分布.这里考虑了价带各向异性、带间混合及局域应力分布对光学性质的作用.研究发现自组织量子线具有应用于正入射红外探测器的良好光学特性.结果显示当量子线的周期长度为15到30nm时，导带子带间跃迁波长处在10到20μm，这正是红外探测器的理想工作范围.同时，带间吸收波长在中红外范围，它提供了红外探测器的另一个窗口. 关键词： 自组织 微应力 红外探测器 量子线     

（3＋1）-dimensional nonlinear propagation equation for ultrashort pulsed beam in left-handed material

In this paper a comprehensive framework for treating the nonlinear propagation of ultrashort pulse in metamaterial with dispersive dielectric susceptibility and magnetic permeability is presented. Under the slowly-evolving-wave approximation, a generalized （3＋1）-dimensional wave equation first order in the propagation coordinate and suitable for both right-handed material （I~HM） and left-handed material （LHM） is derived. By the commonly used Drude dispersive model for LHM, a （3＋1）-dimensional nonlinear Schrodinger equation describing ultrashort pulsed beam propagation in LHM is obtained, and its difference from that for conventional RHM is discussed. Particularly, the self-steeping effect of ultrashort pulse is found to be anomalous in LHM.     

Nonlinear images of scatterers in chirped pulsed laser beams

The bandwidth and the duration of incident pulsed beam are proved to play important roles in modifying the nonlinear image of amplitude-type scatterer.It is found that the initially positive chirp-type bandwidth can suppress the nonlinear image,while the negative one can enhance it,and that both effects are inversely proportional to the incident pulse duration.Numerical simulations further demonstrate that the location of nonlinear image is at the conjugate plane of the scatterer and that,for negatively pre-chirped pulsed beam,the nonlinear image peak intensity can be higher than that in the corresponding monochromatic case under certain conditions.Moreover the effect of group velocity dispersion on nonlinear image is found to be similar to that of chirp-type bandwidth.     

高功率激光系统中非线性热像与模糊斑大小的关系

高功率激光系统中非线性热像的强度可能达到光学元件的损伤阈值,从而危及系统的安全运行。明确并避免引起最强热像大小的模糊斑,可以降低热像的破坏威胁。通过理论分析与数值模拟方法,研究了高功率激光系统中非线性热像光强与模糊斑大小的关系。根据角谱传输和Bespalov-Talanov小尺度自聚焦理论,推导出一定厚度非线性介质的热像光强表达式,得到了热像光强随模糊斑大小的变化规律,并用数值模拟结果进行了验证。结果表明,随着模糊斑尺寸的增大,热像光强先是单调增大,达到一最大值后单调下降;热像光强最大时对应的模糊斑大小基本上与由Bespalov-Talanov小尺度自聚焦理论决定的最快增长小尺度调制尺寸相同。