Efficiency enhancement in a Cherenkov laser loaded with a Kerr-likemedium

Efficiency enhancement in energy conversion for a Cherenkov free elctron laser loaded with a Kerr-like medium is discussed with the aid of particle simulation. For the analysis of the problem, a two-dimensional model for the Cherenkov free electron laser is considered which is composed of a planar relativistic electron beam and a parallel plate waveguide one plate of which is loaded with a nonlinear dielectric sheet exhibiting a Kerr-like effect. To follow the growth of an electromagnetic wave and the decrease in the kinetic energy of the electron beam in the specified model of the Cherenkov free electron laser, a particular segment of the electron beam with the longitudinal length of one guide wavelength is picked out. In that segment, as it travels down the waveguide, the interaction between the electromagnetic wave and a group of electrons is analyzed with the use of the finite-difference time-domain (FDTD) method. The result of numerical simulation shows that the efficiency of energy transfer from the electron beam to the electromagnetic wave is greatly enhanced by the proper choice of the nonlinear parameter for a Kerr-like medium. The enhanced efficiency is due to the improved velocity matching between the electron beam and the electromagnetic wave, and to the self-focusing effect of a Kerr-like medium     

A compact Cherenkov laser with a Bragg cavity composed ofdielectric gratings

The growth and saturation characteristics of a Cherenkov laser with a Bragg cavity composed of dielectric gratings are investigated in detail with the aid of numerical simulation based upon the fluid model of the electron beam, For the analysis of the problem, a two-dimensional (2-D) model of the Cherenkov laser is considered which consists of a planar relativistic electron beam and a parallel plate waveguide, one plate of which is loaded with a dielectric sheet. For confinement and extraction of the electromagnetic wave, a Bragg cavity is formed by dielectric gratings fabricated at both ends of a dielectric-loaded parallel plate waveguide. The result of numerical simulation shows that a compact Cherenkov laser, the longitudinal dimension of which is about one order of magnitude smaller than that of the corresponding single-pass Cherenkov laser, can be realized by using a Bragg cavity composed of dielectric gratings     

Three-dimensional analysis of a Cherenkov laser via particlesimulation

For a three-dimensional (3-D) Cherenkov laser composed of a dielectric-loaded rectangular waveguide and a finite-width planar relativistic electron beam, the nonlinear characteristics and efficiency enhancement are investigated with the aid of particle simulation, allowing for the nonlinear properties of the electron beam. The numerical results obtained in the paper are compared with those obtained in the two-dimensional (2-D) analysis. The efficiency enhancement scheme, which was previously proposed for the 2-D case, is found to be effective also for the 3-D case     

Mode analysis of a dielectric-loaded Raman-type free-electron laser

The Raman-type free-electron laser consists of a relativistic electron beam contained in a dielectric-induced parallel plate waveguide and an array of permanent magnets for the wiggler. Under the influence of the periodic magnetostatic field, the coupling between the scattered electromagnetic wave of the TE mode (positive-energy wave) and the electron plasma wave of the TM mode (negative-energy wave) is investigated in detail. The following results are obtained. First, when a dielectric sheet is loaded on the waveguide, the maximum growth rate and the oscillation frequency can be greater than those for the vacuum Raman-type free-electron laser. Second, by choosing proper values for the relative permittivity of the dielectric sheet and the ratio of the beam guide, the beam energy can be greatly lowered without degrading the oscillation characteristics. Third, the growth rate decays exponentially with the oscillation frequency kept almost constant as the beam-dielectric gap increases     

Excitation of microwave by an annular electron beam in a plasma-filled dielectric lined waveguide

An axial relativistic electron beam passing through a slow wave structure is unstable to an electromagnetic perturbation whose phase velocity equals the velocity of the beam. This phenomenon of Cherenkov emission is the basis of all traveling wave tubes. In this paper an excitation of Cherenkov radiation by a thin annular relativistic electron beam in a plasma-filled dielectric-lined waveguide is analysed by use of the self-consistent linear theory. The effect of the thin annular electron beam on the beam-wave interaction is completely described by a jump condition. The dispersion equation and the simultaneous condition of the beam-wave interaction are derived. Finally, the growth rate of the wave is obtained, and the effect of the background plasma density and the electron beam radius on the growth rate of the wave are presented.     

Mode analysis of an open-boundary cerenkov laser in the collective regime

The mode analysis of an open-boundary Cerenkov laser is developed in the collective regime. The Cerenkov laser under consideration consists of a relativistic slab electron beam and a dielectric-loaded conducting plane. The beam and the dielectric are assumed to be arbitrary in thickness, with an arbitrary gap allowed between them. For the Cerenkov laser specified above, the dependence of the growth rate upon the electron density of the beam, the beam-dielectric gap, the beam thickness, and the drift velocity of the beam is clarified. In particular, the following results deserve special attention. First, with other parameters kept invariant, the growth rate approaches a constant value for the beam thickness greater than the reactive skin depth of the beam. Second, the growth rate becomes maximum at the drift velocity of the beam characteristic of a particular electromagnetic wave mode with which the space charge wave interacts. As the mode number increases, the characteristic drift velocity shifts to higher values whereas the value of the maximum growth rate decreases.     

Cherenkov radiation in a plasma-filled coaxial cylindrical dielectric slow-wave structure

In this paper, a new type of plasma-filled coaxial cylindrical dielectric slow-wave structure that is very beneficial to the beam-wave interaction of the high-power microwave source is developed. The Cherenkov radiation in the plasma-filled coaxial cylindrical dielectric slow-wave structure is examined by use of the self-consistent linear field theory. The dispersion equation and the synchronized condition as well as the wave growth rate of the beam-wave interaction are derived. The dispersion equation clearly shows that the Cherenkov radiation excited in the plasma-filled coaxial cylindrical dielectric slow-wave structure results from the coupling between the slow electromagnetic wave, TM-modes, propagated along the slow-wave structure and the negative-energy space-charge wave propagated along the relativistic electron beam. The numerical results indicate that the dispersion curves are divided into two branches due to the presence of the background plasma in the coaxial cylindrical dielectric slow-wave structure for the identical electromagnetic wave mode, and the radial distributions of the longitudinal fluctuating electric field corresponding to the two dispersion curve branches are completely different. Injection of the background plasma into the slow-wave structure can enhance the output frequency and the wave growth rate of the beam-wave interaction and enables the high-power microwave source that utilizes this kind of slow-wave structure to gain more output power of the microwave with higher output frequency.     

变阻抗相对论返波管的研究

根据相对论返波管（RBWO）的非线性理论，数值模拟了耦合阻抗单步跃变型RBWO效率与束流参量、耦合阻抗跃变位置、高低耦合阻抗比值的依赖关系，结果表明器件最优化效率可达到50%，设计制造了一个X波段高功率耦合阻抗单步跃变型RBWO，运用全电磁粒子模拟程序仿真了器件中注波互作用过程，预见出器件功率、效率、频率等性能参量，在电子注电流、注加速电压、互作用区长度相同的实验条件下，测得变阻抗器件实验效率约为均匀阻抗型器件效率的2倍。     

变阻抗相对论返波管的研究

根据相对论返波管(RBWO)的非线性理论,数值模拟了耦合阻抗单步跃变型RBWO效率与束流参量、耦合阻抗跃变位置、高低耦合阻抗比值的依赖关系,结果表明器件最优化效率可达到50%.设计制造了一个X波段高功率耦合阻抗单步跃变型RBWO,运用全电磁粒子模拟程序仿真了器件中注波互作用过程,预见出器件功率、效率、频率等性能参量.在电子注电流、注加速电压、互作用区长度相同的实验条件下,测得变阻抗器件实验效率约为均匀阻抗型器件效率的2倍.     

Linear Theory of Plasma-Filled Coaxial Cylindrical Cherenkov Maser

Injection of background plasma into the beam-wave interaction region can greatly enhance the beam-wave interaction efficiency and the microwave output power of the device. In this paper, a new type of plasma-filled slow-wave structure, i.e., plasma-filled, dielectric-loaded coaxial cylindrical waveguide with a dielectric ring enclosing tightly the inner conductor, is developed. The Cherenkov radiation excited by the beam-wave interaction in the slow-wave structure is examined by use of the self-consistent linear field theory. The dispersion equation and the synchronized condition of the beam-wave interaction are derived. It's clearly shown that the Cherenkov radiation excited by the beam-wave interaction results from the coupling between the slow electromagnetic wave, TM-modes, propagated along the slow-wave structure and the negative-energy space-charge wave propagated along the relativistic electron beam. And the wave growth rate is solved, and the beam-wave energy exchange in the presence of the background plasma is discussed. Finally, the effects of the background plasma density on the dispersion characteristics, the distribution of the longitudinal fluctuating electric field, the wave growth rate and the beam-wave energy exchange are calculated and discussed.     

Instabilities Driven by an Intense Beam in a Plasma-Filled Dielectric-Lined Waveguide Immersed in a Finite Axial Magnetic Field

A linear analysis is described on stabilities driven by an intense relativistic electron beam in an infinitely long, plasma-filled, and dielectric-lined circular waveguide immersed in a finite strength axial magnetic field. A dispersion equation is derived from the cold fluid theory and solved numerically. Beam-plasma instabilities due to interaction between beam modes and the Trivelpiece-Gould modes appear as well as the Cherenkov and the cyclotron Cherenkov instabilities. Parametric researches are carried out varying magnetic field strength, plasma density, and dielectric constant. Effects of a finite magnetic field and plasma filling are discussed in connection with the possibilities of using this system as a microwave radiation source.     

实心注在等离子体介质筒产生的切伦可夫辐射

利用自洽线性场理论：考虑电子的三维扰动，分析了轴向实心相对论电子注通过填充背景等离子体介质筒慢波波导产生的切伦可夫辐射，导出了描述其不稳定性的色散方程和注液互作用的同步条件，求得出电磁波辐射的时间增长率，分析了背景等离子体密度和实心电子注半径对波增长率的影响。     

Field theory of dielectric Cherenkov maser

The effect of three-dimensional perturbed velocity and three-dimensional perturbed current density on the beam-wave interaction of dielectric Cherenkov maser is analysed by use of the self-consistent linear field theory. Three distinct cases are considered. First, the propagation of the electron beam in an annular dielectric liner enclosed by a loss-free conducting wall is investigated. The dispersion equation and the simultaneous condition of the beam-wave interaction are derived. It's clearly shown that the instability of the interaction results from the coupling of the TM mode in the dielectric lined slow-wave waveguide to the beam mode via the electron beam. And the coupling is proportional to the density of the beam. The growth rate of the wave produced by the electron beam are obtained. Then, the case of a relativistic electron beam guided by a longitudinal magnetic field in the same slow-wave structure is examined. The motion of electrons could be approximated to be one-dimensional when the simultaneous condition of the beam-wave interaction of dielectric Cherenkov maser is satisfied. Finally, the effect of the background plasma on the instability of the beam-wave interaction is studied.     

Nonlinear electromagnetic theory of low-frequency instability of a relativistic electron beam in plasma with strongly nonpotential plasma and beam waves

A substantially nonpotential nonlinear theory of instability of a straight high-current relativistic electron beam propagating in a plasma waveguide under the conditions of the collective stimulated Cherenkov effect is elaborated. In the most general statement of problem, relativistic nonlinear equations for the temporal dynamics of this instability are obtained. The case of a low-density plasma is considered when both the plasma and beam waves are essentially nonpotential. Under the assumption that weak resonance plasma-beam interaction and linearity of plasma electrons are present, the general equations are transformed (by expanding the electron trajectories and momenta) to cubically nonlinear relativistic equations, which describe nonlinear shifts in frequencies of the plasma and beam waves. Analytic solutions to these equations are obtained with allowance for the dependence of the electron mass on the electron velocity and for the nonpotentiality of the interacting waves. The results are in good agreement with the numerical solutions of the general nonlinear equations in a wide range of values for the parameters.     

非线性光栅自调制光限幅器件研究

研制出一种三角槽型透明高分子聚合物光栅与该聚合物平板间填充有机非线性光学液体的夹层结构器件，具有非线性自调制光限幅功能。实验测得该器件对较弱的532nm波长的YAG倍频激光透过率大于60％。对较强激光透过率小于2％～3％。理论预期在激光波长400-700nm都有光限幅特性。且愈靠近532nm波长。激光限幅功能愈强。首次从实验上验证了该非线性光栅具有自适应宽带光限幅的功能。它不仅可以实现可调谐光限幅。且对所设计的激光波长，达到能量低于人眼安全阈值的高效激光防护成为可能。     

An analysis of oblique angle stimulated Cherenkov radiation with some experimental results

This paper considers the possible amplification in a dielectric medium of a plane wave intersected by an electron beam at the Cherenkov angle. An oscillator is designed in which a Fabry-Perot resonator's axis is placed at this angle. The gain is found to be inversely proportional to the wavelength, suggesting the possibility of a vacuum ultraviolet or soft X-ray laser. The randomization of the phase coherence between the wave and the electrons due to multiple scattering of the electrons by the atoms of the dielectric is minimized by limiting the length of interaction, and increasing the electron beam energy. Early unpublished experiments are given in which quartz resonators were placed in the Mark III Linear Accelerator's electron beam at Stanford University. From this, other subsequent experimental work, and the theory derived here. two devices are considered which utilize gas as a dielectric instead of a solid.     

T-matrix analysis of electromagnetic wave differaction from a Fourier grating

This paper is described for T-matrix analysis of the electromagnetic wave diffraction from a Fourier grating that the boundary value problem is treated by applying the extended boundary condition. The rigorous form of the expression of matrix elements is presented in the term of Bessel functions of the first kind. The error of power conservation versus the truncated number has been examined for mode number. Diffraction efficiencies versus groove depth and wavelength for a second or third harmonic wave of Fourier grating have been discussed. Numerical results are in good agreement with those obtained from other method and experimental values. Reasonable numerical results are presented for a groove depth per period of the Fourier grating less than 0.25.     

Comparison of dc electric field and tapered wiggler free electron laser efficiency enhancement schemes

A constant parameter wiggler free electron laser using a dc electric field for efficiency enhancement is compared to several tapered wiggler efficiency enhancement schemes. Analytical expressions for the efficiency in the plane wave, infinitesimally small radius electron beam limit are derived and compared. Numerical simulations for a Gaussian radiation field and finite radius electron beam with an output radiation wavelength of 2 μm are presented. For finite radius electron beams, the extraction efficiency using a dc electric field is somewhat greater than or equal to that using proposed tapering schemes. While the dc field offers flexibility in efficient, tunable laser design, the required field strengths for visible radiation are in the megavolt/meter range.     

Optimization of the beam configuration in the Raman-type free-electron laser

A theoretical discussion is given for the two-dimensional Raman-type free-electron laser composed of a hollow relativistic electron beam of arbitrary thickness contained in a parallel plate waveguide and an array of permanent magnets for the pumping source. Under the influence of the magnetostatic field pump, the coupling between the scattered wave of the even TE mode (positive-energy wave) and the electron plasma wave of the odd TM mode (negative-energy wave) is investigated in detail. With the aid of numerical illustrations, the electron plasma wave with odd symmetry is found to be split into two modes: one mode is dominant for a thick beam and the other mode dominant for a thin beam. For the case where the scattered wave interacts with the electron plasma wave of the latter mode, an optimum beam thickness is obtained for which the growth rate becomes maximum. The optimum beam thickness is found to be comparable with the wavelength of the scattered wave and yet considerably greater than the reactive skin depth of the electron beam. In addition, the efficiency for energy conversion is found to be greatly improved by utilizing a hollow beam instead of a solid beam.     

基于复合光栅镜的角向偏振光产生研究

为了得到角向偏振光输出,采用严格耦合波分析方法,设计了一种复合光栅镜。先通过对Ge光栅的伪博世工艺刻蚀特性的研究,得到了高深宽比的无定型Ge光栅。然后在栅槽底部引入了随机分布的Ge纳米针,在该光栅上依次镀金膜和介质保护膜,得到介质-金属复合光栅镜。最后将该复合光栅镜用作轴快流CO2激光器谐振腔尾镜,得550W角向偏振光输出。结果表明,纳米柱及金栅脊的引入使得该复合光栅镜具有很高的偏振选择性。