二阶级联非线性光学效应中的最佳耦合函数

为了获得非线性光学晶体中最大的能量转化,研究了由两个二阶非线性效应实现三次谐波产生的物理过程.基于能量守恒条件,得到在能量最大转换条件下两个耦合系数比所具有的函数形式和特点.利用数值计算验证了耦合函数比为t=tanh(z),t=arctan(tz)/1.55以及t=(1-sech(1.8z))时均可获得三次谐波的最大能量输出.     

和频过程中的超绝热演化与能量最大转换

基于准相位匹配技术和量子物理中的反向透热补偿方法,提出了一种超绝热条件下信号场能量完全转换成和频场能量的新方案.利用几何旋转面巧妙地揭示出系统附加反向透热补偿项的物理作用机理;类比弹性碰撞的物理过程,形象地说明了附加反向透热补偿修正项后系统能量转换的特性.借助于原子物理中的Bloch矢量法,清晰的展示了系统在超绝热条件下的演化过程,从新的角度图像化的揭示出体系捷径演化物理过程.利用这一新方案可优化系统的绝热演化过程、缩短耦合区间和非线性晶体长度,减少色散效应的影响,且可在较弱泵浦条件下实现高效的和频能量转换.该方案不仅为非线性光学器件的设计提供了一个很好的理论依据,而且其物理思想可普遍应用于多个领域.     

有机包层光纤的二阶非线性效应

本文研究有机包层光纤中的非线性互作用,从求解耦合方程组得到二次谐波互作用效率的分析表达式并进行了详细的数值计算,讨论了影响转换效率的因素及相位匹配等问题.计算表明,有机包层光纤可以获得较高的二次谐波转换效率.     

一类拟线性椭圆方程组多重解的存在性

利用变分法中的三临界点定理， 研究一类含参数拟线性椭圆方程组的Dirichlet问题, 证明该方程组在其非线项满足某些新的条件时至少存在3个解, 并给出该结论在非线性光学中二次谐波产生耦合方程组的一个应用.     

利用广义双网格法构造的二维非线性光子准晶及其光学性质研究

我们利用广义双网格法构造了二维非线性光子准晶体并对其光学性质进行了研究.这种结构可以同时实现三个非线性频率转换过程,产生红、黄、绿三色激光.理论上通过非线性耦合波方程对各参量光的传播特性进行了研究.该结构在量子光学等领域中有潜在的应用.     

准周期光学超晶格激光变频特性分析

根据耦合波方程,分析了准周期光学超晶格中激光变频过程,在倍频过程满足准位相匹配条件,和频过程不满足准位相匹配条件与倍频过程不满足准位相匹配条件,和频过程满足准位相匹配条件下对不同参量进行了数值模拟,结果表明在小信号近似条件下的转换效率依赖于耦合系数比α,和频位相失配量越大,二次谐波的转换效率与三次谐波的转换效率相差越小,这不利于产生高效的三倍频。     

用非绝热近似下的自组织理论探讨非线性光学中谐波的产生

本文论证了非线性光学中谐波的产生问题。我们指出,如应用H.Haken的自组织理论来分析不是很恰当的,而应用不久前我们提出的非绝热近似下的自组织理论来研究较为妥善。     

迈克尔逊干涉仪非线性耦合腔的内腔倍频技术

本文描述使用迈克尔逊干涉仪非线性耦合腔的内腔二次谐波产生(SHG)的新方法.在KTP晶体中获得65%的平均内腔倍频转换效率.推导关于这些耦合腔的非线性矩阵微分方程式,能计算出增强倍频转换效率公式.与其他理论和实验结果的简明比较,证明本方法在理论与实验之间有较好的符合.     

一周期光学超晶格倍频特性分析

根据耦合波方程,导出了-维周期性光学超晶格中产生的倍频光的复振幅表达式.在准相位匹配条件下对不同参数进行了数值模拟,结果表明光学超晶格一个周期内正畴所占比例l/△和二次谐波的位相变化对二次谐波的转换效率具有较大影响.     

量子绝热捷径技术在三波导耦合器设计中的应用

通过将量子无摩擦动力学与绝热消除结合实现了量子绝热捷径技术在光波导耦合器中的设计.为了使该方案更实际可行,引入了幺正变换,以便对波导的宽度以及相邻波导之间的间距进行设计,并利用光束传播法对三波导耦合器进行模拟验证.模拟结果表明,相比于绝热耦合,利用绝热捷径设计的耦合器可以在传输长度缩短4倍的情况下实现能量的有效耦合.该方案可适用于量子信息处理和集成光学领域.     

Cascading Enhancement of Reflected Optical Third-Harmonic Imaging in Bio-Tissues

0　ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｉｒｄ ｈａｒｍｏｎｉｃｇｅｎｅｒａｔｉｏｎ (ＴＨＧ )ｉｍａｇｉｎｇｈａｓｂｅｅｎｄｅｍｏｎｓｔｒａｔｅｄｒｅｃｅｎｔｙｅａｒｓｉｎｂｉｏｌｏｇｉｃａｌｔｉｓｓｕｅｓ[1,2 ] .ＯｎｅｄｉｓｔｉｎｃｔａｄｖａｎｔａｇｅｏｆＴＨＧｉｍａｇｉｎｇｃｏｍｐａｒｉｎｇｗｉｔｈｆｌｕｏｒｅｓｃｅｎｃｅｉｍａｇｉｎｇｉｓｔｈａｔｉｔｃａｎｐｒｏｃｅｅｄｗｉｔｈｏｕｔｔｈｅｎｅｅｄｔｏｌａｂｅｌｔｈｅｂｉｏｌｏｇｉｃａｌｔｉｓｓｕｅｓｗｉｔｈａｐｐｒｏｐｒｉａｔｅｐｒｏｂｅｓ .Ａｎｄ…     

超声波驱动下微管内两气泡间的相互作用

本文发展了气泡和管径可相比拟时管内两气泡间相互作用的理论模型.当管长度一定时,两气泡在管内的声响应取决于两气泡-液柱耦合振动系统的声响应.气泡初始状态、管尺寸以及气泡在管内的位置等都会影响耦合振动气泡的线性共振频率和幅值.采用逐级近似法分析了两个耦合振动气泡（bv=0）和对称状态下单气泡的非线性声响应特性,得到了3倍频和1/3分频振动幅度-频率响应关系.结果表明：系统非线性效应促进基频振动能量向倍频和分频振动传递,气泡间的相互作用和介质黏性对此能量传递过程也有促进作用.     

无对称中心晶体中直接和级联三倍频效应

考察了无对称中心晶体中三倍频（ＴＨＧ）实验所得的三次谐波信号的来源：直接三倍频和级联效应。给出了在实验中区分这两种效应所产生的ＴＨ信号的方法，这有利于利用ＴＨＧ实验来测量晶体的有效三阶三线性系数分量值。     

The nonlinear Fano effect

The Fano effect is ubiquitous in the spectroscopy of, for instance, atoms, bulk solids and semiconductor heterostructures. It arises when quantum interference takes place between two competing optical pathways, one connecting the energy ground state and an excited discrete state, the other connecting the ground state with a continuum of energy states. The nature of the interference changes rapidly as a function of energy, giving rise to characteristically asymmetric lineshapes. The Fano effect is particularly important in the interpretation of electronic transport and optical spectra in semiconductors. Whereas Fano's original theory applies to the linear regime at low power, at higher power a laser field strongly admixes the states and the physics becomes rich, leading, for example, to a remarkable interplay of coherent nonlinear transitions. Despite the general importance of Fano physics, this nonlinear regime has received very little attention experimentally, presumably because the classic autoionization processes, the original test-bed of Fano's ideas, occur in an inconvenient spectral region, the deep ultraviolet. Here we report experiments that access the nonlinear Fano regime by using semiconductor quantum dots, which allow both the continuum states to be engineered and the energies to be rescaled to the near infrared. We measure the absorption cross-section of a single quantum dot and discover clear Fano resonances that we can tune with the device design or even in situ with a voltage bias. In parallel, we develop a nonlinear theory applicable to solid-state systems with fast relaxation of carriers. In the nonlinear regime, the visibility of the Fano quantum interferences increases dramatically, affording a sensitive probe of continuum coupling. This could be a unique method to detect weak couplings of a two-level quantum system (qubits), which should ideally be decoupled from all other states.     

半抛物量子阱中二阶非线性光学性质的研究

本文对外加电场作用下GaAs/AlGaAs半抛物量子阱非线性光整流和二次谐波极化率进行了研究.首先,本文运用密度矩阵和迭代的方法获得外加电场作用半抛物量子阱系统光整流和二次谐波极化率的表达式.同时,采用有限差分法求得多外加电场作用下该系统的能级和波函数,避免了精确求解过程中的多重不恰当近似.结果表明:1)有限差分法计算结果相当精确;2)外加电场和受限势频率与系统能级、受限势形状、以及光整流和二次谐波极化率有着密切的关系,同时,可以通过外加电场和受限势频率实现对该系统光整流和二次谐波极化率的有效调控.将为基于子带跃迁的光电子器件的制备提供理论基础.     

Ultafast organic nonlinear optical molecules and the realization of mesoscopic photonic devices

In the twentieth century, revolutionary changes took place in the human society and people’s life-style due to the improvement of the optoelectronic information technology based on the second-order nonlinear optical effects, such as the electro-optic effect, the second harmonic generation (SHG), and so on. Along with the rapid development of light information technology, new principles and methods of nonlinear optics are needed, and the third-order nonlinear optical effects attract great attention. The research progress of nonlinear optics is reviewed in this article. Our research work on the third-order nonlinear optical materials, ultrafast and low-power organic all-optical photonic crystal switching are introduced.     

索末菲量子化条件修正式的研究

首先说明了波尔量子化条件、普朗克量子化条件与索末菲量子化条件具有对等性;然后对近年来在计算谐振子零点能时提出的索末菲量子化条件修正表达式进行了分析,指出其与波尔氢原子理论存在矛盾;最后在驻波条件的启发下对索末菲量子化条件给出了另外一种修正式,计算表明这一新的修正式既可以正确地给出谐振子的零点能,又能与波尔氢原子理论具有一致性.     

一类阻尼非线性Schrodinger方程的坍塌性质

讨论了出现在吸引玻色-爱因斯坦凝聚中的一类带调和势的阻尼非线性Schrodinger方程.对照玻色爱因斯坦凝聚的物理性质, 运用能量方法, 作者得到了一个较为简单的判别条件，当初值满足该条件时，初值问题的解将在有限时间内坍塌.     

Nonlinear optics in the extreme ultraviolet

Nonlinear responses to an optical field are universal in nature but have been difficult to observe in the extreme ultraviolet (XUV) and soft X-ray regions owing to a lack of coherent intense light sources. High harmonic generation is a well-known nonlinear optical phenomenon and is now drawing much attention in attosecond pulse generation. For the application of high harmonics to nonlinear optics in the XUV and soft X-ray regime, optical pulses should have both large pulse energy and short pulse duration to achieve a high optical electric field. Here we show the generation of intense isolated pulses from a single harmonic (photon energy 27.9 eV) by using a sub-10-femtosecond blue laser pulse, producing a large dipole moment at the relatively low (ninth) harmonic order nonadiabatically. The XUV pulses with pulse durations of 950 attoseconds and 1.3 femtoseconds were characterized by an autocorrelation technique, based on two-photon above-threshold ionization of helium atoms. Because of the small cross-section for above-threshold ionization, such an autocorrelation measurement of XUV pulses with photon energy larger than the ionization energy of helium has not hitherto been demonstrated. The technique can be extended to the characterization of higher harmonics at shorter wavelengths.     

Quantum Size-Dependent Third-Order Nonlinear Optical Susceptibility in Semiconductor Quantum Dots

The density matrix approach has been employed to investigate the optical nonlinear polarization in a single semiconductor quantum dot(QD). Electron states are considered to be confined within a quantum dot with infinite potential barriers. It is shown, by numerical calculation, that the third-order nonlinear optical susceptibilities for a typical Si quantum dot is dependent on the quantum size of the quantum dot and the frequency of incident light.