A proposed method to characterize high harmonic microbunching in EEHG operation of SDUV-FEL

The echo-enabled harmonic generation(EEHG)scheme offers remarkable efficiency for generatinghigh harmonic microbunching with a relatively small energy modulation.A proof of principle experiment of the EEHG scheme has been proposed at the Shanghai deep ultraviolet(SDUV)free electron laser(FEL)facility,where the 4th harmonic of the seed laser is amplified in the 9 m long radiator.To explore the advantages of the EEHG scheme,in this paper,a method of measuring the coherent high harmonic radiation of the radiator is proposed to investigate the electron beam microbunching corresponding to the 10th-20th harmonics of the seed laser.The principle of the proposed method,comparisons with existing methods and the simulation results are presented and discussed.     

合肥储存环相干谐波自由电子激光研究方法的改进

 根据简单的计算模型,导出辐射能量谱形状因子和相干谐波辐射表达式,用此表达式讨论了不对称光学速调管的相干谐波辐射;对于合肥储存环相干谐波自由电子激光,提出了一个不对称光学速调管相干谐波辐射的研究方案,并且作了详细的计算,结果表明在较高的电子束能量下,调整光学速调管和外激光参数,使辐射段波荡器的辐射基波与外激光的二次谐波共振,进行相干谐波产生实验,能获得10⁹量级相干加强因子。     

合肥储存环相干谐波自由电子激光研究方法的改进

根据简单的计算模型,导出辐射能量谱形状因子和相干谐波辐射表达式,用此表达式讨论了不对称光学速调管的相干谐波辐射;对于合肥储存环相干谐波自由电子激光,提出了一个不对称光学速调管相干谐波辐射的研究方案,并且作了详细的计算,结果表明在较高的电子束能量下,调整光学速调管和外激光参数,使辐射段波荡器的辐射基波与外激光的二次谐波共振,进行相干谐波产生实验,能获得109量级相干加强因子。     

谐振子任意次幂坐标算符矩阵元的一种计算方法

利用相干态和正规乘积对谐振子任意次幂坐标算符X^1矩阵元进行了讨论,导出了计算X^1矩阵元的一般公式,其结果与《大学物理》发表的两篇文章一致,为处理谐振子的微扰问题提供了一种新的方法。     

Harmonic operation of high gain harmonic generation free electron laser

In high gain harmonic generation (HGHG) free electron laser (FEL), with the right choice of parameters of the modulator undulator, the dispersive section and the seed laser, one may make the spatial bunching of the electron beam density distribution correspond to one of the harmonic frequencies of the radiator radiation, instead of the fundamental frequency of the radiator radiation in conventional HGHG, thus the radiator undulator is in harmonic operation (HO) mode. In this paper, we investigate HO of HGHG FEL. Theoretical analyses with universal method are derived and numerical simulations in ultraviolet and deep ultraviolet spectral regions are given. It shows that the power of the 3rd harmonic radiation in the HO of HGHG may be as high as 18.5% of the fundamental power level. Thus HO of HGHG FEL may obtain short wavelength by using lower beam energy.     

Parameter study for enhanced high gain harmonic generation scheme

An easy-to-implement scheme called Enhanced High Gain Harmonic Generation is expected to be able to significantly enhance the performance of HG-FEL. In this paper we investigate the effects of the system parameters in the new scheme, including the electron energy detuning, initial electron-beam energy spread, seeding laser power, dispersive field strength and amount of the phase shift, etc. The numerical results from GENESIS (3D-code) are presented and show that the new scheme has acceptable parameters tolerance requirements and is no more or even less sensitive to the system parameters than that of the existing scheme; With the electron energy above the resonance, the efficiency is enhanced for both the new scheme and the existing scheme compared with the resonant energy case.     

原子、分子和纳米材料中非线性高次谐波的产生:一个潜在的极超快和高能量的新型光源

在原子、分子和纳米材料中的高次谐波为非线性光学开辟了一个崭新的研究领域. 其响应时间之短、能量之高,引起了人们的高度重视.目前的研究达到了白热化的程度.还有很多问题没有解决.文章首先简要地介绍了这一个新的领域.然后用一个简单的例子引出有名的辐射截断方程,最后用C60作为一个例子说明如何详细地计算辐射能量谱.     

A nonperturbative quantum electrodynamic approach to the theory of laser induced high harmonic generation

Using nonperturbative quantum electrodynamics, we develop a scattering theory for high harmonic generation (HHG). A transition rate formula for HHG is obtained. Applying this formula, we calculate the spectra of high harmonics generated from different noble gases shined by strong laser light. We study the cutoff property of the spectra. The data show that the cutoff orders of high harmonics are greater than that predicted by the “3.17” cutoff law. As a numerical experiment, the data obtained from our repeated calculations support the newly derived theoretical expression of the cutoff law. The cutoff energy of high harmonics described by the new cutoff law, in terms of the ponderomotive energy U_p and the ionization potential energy I_p, is 3.34U_p+ 1.83I_p. The higher cutoff orders predicted by this theory are due to the absorption of the extra photons, which participate only the photon-mode up-conversion and do nothing in the photoionization process.     

波荡器谐波场增强效应对电子自发辐射谱的影响

 有效利用电子束在波荡器中运动时产生的谐波辐射,是获得更短波长辐射最直接的方法之一。提高波荡器磁场的谐波分量可以提高电子束的谐波辐射光场强度。分析了一种改进Halbach型波荡器结构,计算了其磁场的构成,分析表明这种结构可以使磁场的三次谐波分量提高至基波分量的25%左右。以合肥光源的电子束参数为例,计算了波荡器磁场谐波分量增强后对电子束自发辐射谱的影响。计算结果表明,波荡器磁场谐波分量增强至25%时,可以使电子束自发辐射的三次谐波辐射增强至基波辐射光子通量的67%左右。     

Coherent states of general time-dependent harmonic oscillator

By introducing an invariant operator, we obtain exact wave functions for a general time-dependent quadratic harmonic oscillator. The coherent states, both inx- andp-spaces, are calculated. We confirm that the uncertainty product in coherent state is always larger thankh/2 and is equal to the minimum of the uncertainty product of the number states. The displaced wave packet for Caldirola-Kanai oscillator in coherent state oscillates back and forth with time about the center as for a classical oscillator. The amplitude of oscillation with no driving force decreases due to the dissipation in the system. However, the oscillation with resonant frequency oscillates with a large amplitude, even after a sufficient time elapse.     

波荡器谐波场增强效应对电子自发辐射谱的影响

有效利用电子束在波荡器中运动时产生的谐波辐射,是获得更短波长辐射最直接的方法之一。提高波荡器磁场的谐波分量可以提高电子束的谐波辐射光场强度。分析了一种改进Halbach型波荡器结构,计算了其磁场的构成,分析表明这种结构可以使磁场的三次谐波分量提高至基波分量的25%左右。以合肥光源的电子束参数为例,计算了波荡器磁场谐波分量增强后对电子束自发辐射谱的影响。计算结果表明,波荡器磁场谐波分量增强至25%时,可以使电子束自发辐射的三次谐波辐射增强至基波辐射光子通量的67%左右。     

提高相干谐波输出的一种新方法

本文利用自由电子激光(FEL)纵模统一理论讨论了光学速调管自由电子激光相干谐波的输出情况。从物理上分析了非对称光学速调管的设计,得出了采用非对称的光学速调管可使FEL的相干谐波输出提高近30％。     

Harmonic operation of high gain harmonic generation free electron laser

In high gain harmonic generation (HGHG) free electron laser (FEL), with the right choice of parameters of the modulator undulator, the dispersive section and the seed laser, one may make the spatial bunching of the electron beam density distribution correspond to one of the harmonic frequencies of the radiator radiation, instead of the fundamental frequency of the radiator radiation in conventional HGHG, thus the radiator undulator is in harmonic operation (HO) mode. In this paper, we investigate HO of HGHG FEL.Theoretical analyses with universal method are derived and numerical simulations in ultraviolet and deep ultraviolet spectral regions are given. It shows that the power of the 3rd harmonic radiation in the HO of HGHG may be as high as 18.5% of the fundamental power level. Thus HO of HGHG FEL may obtain short wavelength by using lower beam energy.     

超强脉冲激光辐照固体靶背表面的渡越辐射

 在超强脉冲激光与固体靶相互作用中,利用光学CCD相机和光学多道分析仪,分别在固体薄膜靶背表面法线方向测量了渡越辐射（TR）积分成像图案和光谱。测量结果显示：TR空间分布图案呈圆环状,而辐射区域有发散角和光强分布;TR光谱在800 nm附近出现尖峰,是激光的基频波,这一现象归因于超热电子束在输运的过程中产生的微束团而引起的相干渡越辐射;如果考虑超热电子的产生和加热机制,共振吸收和真空加热对超热电子都有贡献,其中占主导地位的加热机制则是共振吸收对电子的加热。     

1.8 T直流磁体94 GHz连续波二次谐波回旋管

首次实现直流磁体W波段二次谐波回旋管连续波稳定运行。回旋管工作时所需1.8 T磁场由一个水冷直流线圈产生。直流线圈励磁电流为500 A,功耗28 kW,内孔直径66 mm,可直接将回旋管插入内孔中。回旋管内电子束由双阳极磁控注入电子枪产生。采用高效率内置准光模式变换器实现束波分离并输出准高斯波束。研制的回旋管工作频率为94.08 GHz,腔内工作模式为TE₀₂。实验中成功实现5 min连续稳定运行,输出功率达到12 kW。电子束电压为45 kV,电流1.7 A,对应的输出效率15.7 %。     

用自洽平均值法计算非线性谐振子本征值

提出了一种自洽平均值法计算非线性谐振子本征值的方法.研究结果表明,等效势能曲线、坐标算符的一次项和二次项的平均值及能量本征值均在主量子数n较小时与微扰量子理论相吻合,在n=0时两者完全一致.     

谐振子系统坐标算符矩阵元的简单计算方法

详细讨论了在粒子数表象和相干态表象中如何简捷地计算谐振子系统坐标算符矩阵元的问题,给出了具体的计算过程并对文献中的相关处理方法和过程进行了评述.     

Coherent states of a damped harmonic oscillator

We construct here the coherent states (annihilation operator eigenstates) of a damped harmonic oscillator. These coherent states, which are normalizable, have the desired behaviour in the classical limit (ℏ→0).     

The second harmonic generation in semiconductors in the DC magnetic field

The second harmonic radiation in millimeter wave region is found in semiconductors in the absence of the dc electric field. The observed resonant maximum of radiation intensity is shown to be related to the excitation of the free-electron plasma oscillations in the dc magnetic field.     

不同加热机制产生的超热电子的相干渡越辐射谐波研究

利用不同加热机制产生的超热电子所导致的相干渡越辐射(CTR)在谐波分量强度比上的不同，给出了区分飞秒激光等离子体相互作用产生超热电子过程中的主要与次要加热机制的一种可能方法.得到了加热周期不同的加热机制所产生超热电子的比例与CTR谐波分量的二倍频和一倍频的强度比之间的具体关系式.如果在实验上测到此谐波分量强度比，就可以推出不同加热机制在加热过程中所起作用的大致比例关系.另外，CTR谐波分量的强度比还与超热电子的温度、实验上所使用靶的厚度有一定依赖关系，对此作了较为详细的讨论. 关键词： 相干渡越辐射 超热电子 加热机制