Multiple Beam Scanning Optics for Laser Printer: Application of Optical Fiber Array Method

We have developed laser printer optics using various kinds of multiple beam generation devices, such as a polarization prism, grating, diode laser array, and optical fiber array. Recently we successfully demonstrated laser-print experiments using five beams from an optical fiber array. In the array, fibers are arranged with a spacing of 0.15 mm and emit circular Gaussian beams that have a diameter of 5 μm and a wavelength of 635 nm. The wavelength of diode lasers is determined from sensitivity of the photoconductor drum of As₂Se₃ material. The arrangement error vertical to the array is mostly suppressed below 0.4 μm. In the optics, curve of scan lines and print position errors in the scan direction are suppressed to a negligible size due to minimization of the magnification variation in the sub-scan direction along the print width and achromatized design, respectively.This paper was originally presented at the 2nd International Conference on Optical Design and Fabrication, ODF2000 which was held on November 15-17, 2000 at the International Conference Center, Tokyo, Waseda University, Japan.     

Partially coherent vortex beams propagating through slant atmospheric turbulence and coherence vortex evolution

Using the extended Huygens-Fresnel principle and the quadratic approximation of the phase structure function, and taking the Gaussian Schell-model (GSM) vortex beam as a typical example of partially coherent vortex beams, the explicit expressions for the cross-spectral density function and average intensity of GSM vortex beams with topological charge m=+1 propagating through slant atmospheric turbulence are derived, and used to study the propagation properties of GSM vortex beams in atmospheric turbulence along a slant path and evolution behavior of coherence vortices. It is shown that the spreading of GSM vortex beams along a horizontal path is larger than that along a slant path in the long atmospheric propagation. The propagation through horizontal atmospheric turbulence can be treated as a special case of the altitude-independent structure constant. The position of coherence vortices in slant atmospheric turbulence does not coincide with that in horizontal atmospheric turbulence, and the dependence of position of coherence vortices on the zenith angle, wavelength and reference point is illustrated by numerical examples. A comparison with the previous work is also made.     

湍流大气中斜程传输光场的相位特性

运用功率谱反演法对斜程传输大气湍流扰动相位屏进行了数值模拟。通过建立激光束初始畸变相位模型,从波前峰谷值和波前功率谱密度函数两个方面,对激光束通过大气湍流后的相位特性进行了研究,重点分析了湍流传输距离和天顶角对激光束波前相位分布的影响。研究结果表明:激光束在湍流大气斜程传输后,其波前相位会发生明显畸变,且空间高频相位较低频相位所占比例明显增加;通过湍流后的波前相位与传输距离及天顶角密切相关,传输距离越长,天顶角越大,相位畸变程度越大,高频相位所占比例越多。     

大气湍流对斜程传输准单色高斯-谢尔光束空间相干性的影响

由湍流大气中斜程传输时准单色高斯-谢尔(GSM)光束互相干函数的解析式导出了该光束的复相干度.然后,利用表征光束空间相干性的横向相干长度,研究了斜程传输时大气湍流对准单色GSM光束空间相干性的影响.研究结果表明：1)当传输路径偏离水平方向较大(即θ≤88°)时,准单色GSM光束横向相干长度随传输距离均为先迅速增加,后缓慢增加,最后基本保持不变.2)当传输路径接近水平方向(即θ≥89°)时,准单色GSM光束横向相干长度随传输距离均为先增大,达到一个最大值后开始下降并持续减小.3) 关键词： 大气光学 空间相干性 高斯-谢尔光束 斜程传输     

湍流大气中斜程传输部分相干光的光束扩展

运用维格纳分布函数与广义惠更斯菲涅耳原理,推导出部分相干光束在任意折射率起伏功率谱模型的大气湍流中斜程传输时,其束宽传输的一般解析表达式。在此基础上,以部分相干平顶(PCFT)光束为例,给出了PCFT光束在大气湍流中斜程传输的束宽扩展解析表达式。在合肥地区大气折射率结构常数高度分布模式下开展了数值计算和分析,并与水平传输时的结果进行了比较。研究结果表明,光束在斜程传输时的束宽不仅与光束阶数、空间相干度、束腰半径、湍流的强弱和传输距离有关,还与天顶角密切相关。光束的阶数越高,空间相干性越差,天顶角越小,则其束宽扩展受湍流的影响就越小。当天顶角小于60°时,大气湍流对斜程传输光束束宽的影响明显小于水平传输的情况。     

Propagation of partially coherent beams carrying an edge dislocation through atmospheric turbulence along a slant path

This paper derives the explicit expressions for the average intensity, beam width and angular spread of Gaussian Schell-model (GSM) beams with edge dislocation propagating through atmospheric turbulence along a slant path. The propagation of GSM beams with edge dislocation through horizontal atmospheric turbulence can be treated as a special case through a slant one. The propagation properties of GSM beams with edge dislocation through slant atmospheric turbulence are studied, where the influence of edge dislocation parameters including the slope p and off-axis distance d on the spreading of GSM beams with edge dislocation in atmospheric turbulence is stressed. It shows that the spreading of the intensity profile of GSM beams with edge dislocation along a slant path is smaller than that along a horizontal path in the long-distance atmospheric propagation. The larger the slope vert pvert and the smaller the off-axis distance vert dvert are, the less the beam-width spreading and angular spread of GSM beams with edge dislocation are affected by turbulence. The GSM beams with edge dislocation is less affected by turbulence than that of GSM beams without edge dislocation. The results are illustrated numerically and their validity is interpreted physically.     

Observation of polarization-controlled spatial splitting of four-wave mixing in a three-level atomic system

We report experimental observations of intensity modulation and spatial splitting of four-wave mixing (FWM) signal beams which can be effectively controlled by the polarization states of the pumping laser beams. Due to the periodic change of the pumping beam’s polarization states, the intensity of the FWM beam also evolves periodically. The periodic spatial splitting phenomenon has been observed in both x- and y-directions. The cases with/without the dressing beams are compared. Such studies can be very useful in better understanding the formation of spatial solitons and for signal processing applications, such as spatial beam splitter, routing, and switching.     

Changes in the spectrum, polarization, and coherence of stochastic spatially and spectrally partially coherent electromagnetic J0-correlated Schell-model pulsed beams propagating in free space

Taking the stochastic electromagnetic J ₀-correlated Schell-model pulsed (JSMP) beam as a typical example of stochastic spatially and spectrally partially coherent electromagnetic pulsed beams, the analytical expressions for the cross-spectral density matrix, spectral density, spectral degree of polarization and spectral degree of coherence of stochastic electromagnetic JSMP beams propagating in free space are derived, and used to study the changes in the spectrum, polarization, and coherence of stochastic spatially and spectrally partially coherent electromagnetic JSMP beams. It is shown that the on-axis spectrum is blue-shifted in free-space propagation and is dependent on the pulse temporal coherence length and spatial correlation parameter. The distribution of the on-axis spectral degree of polarization depends on the frequency and spatial correlation parameter. The spectral degree of coherence increases with increasing pulse temporal coherence length. The results derived are interpreted physically.     

Wigner distribution function of Lorentz and Lorentz–Gauss beams through a paraxial ABCD optical system

Based on the Collins integral formula and the Hermite–Gaussian expansion of a Lorentz function, an analytical expression for the Wigner distribution function (WDF) of Lorentz and Lorentz–Gauss beams through a paraxial ABCD optical system is derived. The properties of the WDF of Lorentz and Lorentz–Gauss beams propagating in free space are demonstrated. The normalized WDFs of Lorentz and Lorentz–Gauss beams at the different spatial points are depicted in the several observation planes. The influences of the beam parameters on the WDF of Lorentz and Lorentz–Gauss beams in free space are also analyzed at different propagation distances. The special WDF of a Lorentz beam results in its higher angular spreading than the Gaussian beam.     

Multi-beam second-harmonic generation in beta barium borate with a spatial light modulator and application to internal structuring in poly(methyl methacrylate)

Parallel beam frequency doubling of 170 fs, NIR pulses is demonstrated by placing a thin beta barium borate (BBO) nonlinear crystal after a spatial light modulator. Computer-generated holograms applied to the spatial light modulator create 18 parallel diffracted beams at the fundamental wavelength λ=775 nm, then frequency doubled to λ=387 nm and focussed inside the poly(methyl methacrylate) (PMMA) substrate for refractive index structuring. This procedure, demonstrated for the first time in PMMA, requires careful attention to phase matching of multiple beams and opens up dynamic parallel processing at UV wavelengths where nematic liquid crystal devices are more sensitive to optical damage. By overlapping filamentary modifications, an efficient, stable volume phase grating with dimensions 5×5×2.0 mm³ and pitch Λ=15 μm was fabricated in 18 minutes and reached a first-order diffraction efficiency of 70 % at the Bragg angle.     

Potential formation and high density plasma production on the tandem mirror GAMMA 10

GAMMA 10 experiments have advanced in high density experiments after the last EPS Workshop where we reported high density plasma production by using an ion cyclotron range of frequency heating at a high harmonic frequency and neutral beam injection in the central cell. Recently a high density plasma was obtained with much improved reproducibility than before and without degradation of diamagnetic signal. The high density plasma was attained by adjusting the spacing of the conducting plates installed in the anchor transition regions. Dependencies of particle confinement time, ion energy confinement time and plasma confining potential on plasma density were obtained for the first time in the high density region. Presented at 5th Workshop “Role of Electric Fields in Plasma Confinement and Exhaust”, Montreus, Switzerland, June 23–24, 2002.     

部分相干厄米高斯光束在斜程大气湍流中的扩展

基于广义惠更斯-菲涅耳原理,推导出部分相干厄米高斯（H-G）光束通过斜程大气湍流传输的均方根束宽和角扩展的解析表达式,并用以研究了传输路径和光束阶数对部分相干H-G光束传输的影响。引入相对束宽和相对角扩展来定量描述光束抗拒大气湍流的能力。结果表明:在相同条件下,部分相干H-G光束斜程传输受大气湍流的影响要小于水平传输,与水平传输相比斜程传输更有利于部分相干光束在大气湍流中的传输,光束阶数越大部分相干H-G光束受大气湍流的影响越小。     

激光陀螺光电探测器光窗的设计

用平面波计算拍频条纹间距时,因激光器中存在衍射效应,且实际光强分布为高斯型,故给光电探测器光窗尺寸计算带来很大误差(40%),导致系统不能正常工作。为此,以高斯光束为基础,利用光电探测器测得2路信号的相位差,通过数值计算得到2束光拍频条纹间距,由此计算得到理想相位差光电探测器的尺寸。最后,用实验验证了该设计方法的可行性,为RLG光电探测器光窗尺寸的设计提供了一种简单准确的方法。     

The Beam Propagation Factor of Nonparaxial Truncated Flattened Gaussian Beams

By using the second-order moment of the power density, the beam width, far-field divergence angle and M² factor of nonparaxial truncated flattened Gaussian (FG) beams are derived analytically. It is shown that the M² factor of nonparaxial truncated FG beams depends not only on the truncation parameter δ and beam order N, but also on the initial waist-width to wavelength ratio w₀/λ. The far-field divergence angle approaches an asymptotic value of θ_max=63.435° when the truncation parameter δ → 0. For the special cases of N = 0 and δ → ∞ our results reduce to those of nonparaxial truncated Gaussian beams and nonparaxial untruncated FG beams, respectively.     

Studying characteristics of the large-scale ionospheric irregularities induced by high-power HF radio emission with GPS diagnosis

We present the results of experimental studies of artificial large-scale irregularities of the ionospheric electron number density with dual-frequency GPS diagnosis. The total electron content was analyzed in the GPS signal trajectory when the satellites passed over the heated region. Spectral composition of the observed variations was determined by wavelet analysis. Characteristic scales of artificial irregularities of the electron number density in the F layer are estimated. It is experimentally proved that the irregularities remain for at least 15–20 min after the transmitter is switched off. A more confident excitation and increased intensity of the irregularities were also confirmed when the beam was inclined south of the magnetic-zenith direction.     

影响同步辐射X射线螺旋显微CT的若干因素研究

同步辐射X射线是扁平光, 传统显微CT难以对长样品实现快速、高分辨、低剂量三维成像, 螺旋扫描的引入可以很好地解决这一难题. 本文采用数字模拟和实验的方法较为系统地研究了螺距、光斑竖直高度和180° 投影数对成像质量、速度的影响. 模拟结果表明, 在螺距不大于2的前提下, 180° 投影数增大, 误差减小, CT成像速度变慢; 光斑竖直高度增大, 速度加快; 螺距增大, 速度加快, 且误差在允许范围内; 选取合适的参数值使旋转平移比为整数, 误差最小. 同时, 优化参数并在上海光源实现螺旋显微CT, 从实验上验证了模拟结果. 研究表明, 通过优化各参数, 同步辐射螺旋显微CT可以实现快速高质量三维成像, 为以后的实际应用提供了依据.     

Interference Patterns of Two Focused Gaussian Beams in an LDA Measuring Volume

Based on a model of spherical Gaussian beam interference, the fringe spacing variations in the measuring volume of a differential LDA system are analysed and the fringe patterns are obtained for different locations of beam waists. It is found that when the incident beams are sharply focused and a large beam cross-angle is used to obtain high spatial resolution, fringe gradients occur along both the x- and z-directions, even though the incident beams intersect at their waists. When the measuring volume is very small, the measurement accuracy of an LDA is limited by inherent fringe gradients mainly along the z-direction. © 1997 Elsevier Science Ltd. All rights reserved.     

Polarization properties of polarized and partially coherent Electromagnetic Gaussian-Schell model pulse beams on slant path in turbulent atmosphere

This paper is based on the unified theory of coherence and polarization of stochastic electromagnetic beams and the extended Huygens–Fresnel principle, combined with the quadratic approximation of Rytov’s phase structure function and the generalized Stokes parameters. We have derived the novel expressions for the cross-spectral density matrix elements and the degree of cross-polarization of a class of elliptically polarized spatially and spectrally partially coherent Electromagnetic Gaussian-Schell model pulse (EGSMP) beams propagating through atmospheric turbulence along a slant path. Additionally, we calculate and analyze the effects of the turbulent intensity, the initial pulse duration, waist width of the beam, the spatial coherence length and temporal coherence length et al. on the polarization properties of fully polarized and partially coherent EGSMP beams. Finally, a comparison of the impact of those factors on the partially polarization beams is made. The results show that the influences of the turbulent intensity, the initial pulse duration, waist width of the beam, the spatial coherence length and temporal coherence length et al. on the polarization properties of fully polarized and partially coherent EGSMP beams are larger. While the effects of those parameters on the partially polarization and partially coherent EGSMP beams are smaller. It is noted that the results of this paper have established sound theoretical basis on the topic of improving performance of the laser system propagating through the atmospheric turbulence.     

部分相干厄米-双曲正弦-高斯光束通过湍流大气传输的平均光强分布演化和角扩展

推导出部分相干厄米-双曲正弦-高斯(H-ShG)光束通过湍流大气的平均光强和角扩展的解析表示式,并用以研究了部分相干H-ShG光束在湍流中的平均光强分布演化和角扩展. 结果表明,折射率结构常数C²_n的增加和空间相关长度σ₀的减小都会加速演化过程. 引入相对角扩展来定量描述光束抗拒湍流的能力. 空间相关长度σ₀,束腰宽度w₀和双曲 关键词： 平均光强分布演化 角扩展 湍流大气 部分相干厄米-双曲正弦-高斯(H-ShG)光束     

Altitude–time variations in electron number density in the ionospheric <Emphasis Type="Italic">E</Emphasis> layer

We present the results of measuring the electron number density in the ionospheric E layer by a method based on the creation of artificial periodic irregularities of the ionospheric plasma with two different spatial scales. Artificial periodic irregularities were created by the radiation of the Sura heating facility at frequencies 4.7 and 5.6 MHz. The electron number density was determined by the ratio of relaxation times of the signals backscattered by artificial periodic irregularities during their sounding by probing radio waves at the mentioned frequencies. Features of the electron-density profiles obtained in 2006 and 2007 in the altitude range 95–115 km are discussed and their altitude–time variations are analyzed.