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1.
Based on the vectorial structure of electromagnetic beam and the
method of stationary phase, the analytical structure of Hermite
Gaussian beam in far field is presented. The structural energy flux
distributions are also investigated in the far field. The structural
pictures of some Hermite Gaussian beams are depicted in the far
field. As the structure of Hermite Gaussian beam is dominated by the
transverse mode numbers and the initial transverse Gaussian half
width, it is more complex than that of Gaussian beam. The ratios of
the structural energy fluxes to the whole energy flux are independent
of the transverse mode numbers and the initial transverse Gaussian
half width.
The present research reveals the internal vectorial structure of Hermite Gaussian beam from other viewpoint.\ 相似文献
2.
研究了傍轴椭圆高斯光束在强非局域非线性介质中的传输特性,得到了其各参量的演化方程 及其精确解析解.通过对束宽演化方程及其精确解析解的进一步分析,发现傍轴椭圆高斯光 束在强非局域非线性介质中传输时,两横向方向束宽作周期性变化.不管初始功率为多大, 光束都将周期性的由椭圆高斯光束演化为圆对称高斯光束,再由圆对称高斯光束演化为椭圆 高斯光束;并且在演化的过程中,椭圆的半长轴和半短轴会作周期性交替变化.另外,在一 定初始功率下,傍轴椭圆高斯光束可以保持某一横向方向的束宽不变,得到光孤子.
关键词:
强非局域非线性介质
非局域非线性薛定谔方程
椭圆高斯光束
参量演化方程
空间孤子 相似文献
3.
当高功率激光通过Kerr非线性介质传输时,Kerr效应会严重影响激光的传输特性.实际应用中常遇到像散光束.迄今为止,像散光束传输特性的研究大都局限于在线性介质中的传输,而在非线性介质中传输的研究较少,且还未涉及像散激光束通过含光学系统的Kerr非线性介质传输变换的研究.本文主要研究Kerr效应对聚焦光束像散特性和焦移特性的影响,以及聚焦像散高斯光束的自聚焦焦距和光束焦点调控.在光束扩展情况下,推导出了聚焦像散高斯光束在Kerr非线性介质中传输的束宽、束腰位置和焦移的解析公式,研究表明:在自聚焦介质中,随着自聚焦作用增强(如光束功率增强),光束像散越强,但焦移越小;在自散焦介质中,随着自散焦作用增强(如光束功率增强),光束像散越弱,但焦移越大.另一方面,在光束自聚焦情况下,推导出了自聚焦焦距的解析公式,研究表明利用光束像散可以调控光束焦点个数. 相似文献
4.
基于Gyrator变换,推导了四瓣高斯光束场分布的解析表达式,研究了四瓣高斯光束通过Gyrator变换后的光强分布和相位分布.结果表明:在Gyrator变换过程中,四瓣高斯光束能够转换为具有光涡旋的矩形空心光束,在获得矩形空心光束时其四顶角处光束强度最强,而四条边上的光束强度分布几乎是均匀的.对影响矩形空心光束强度和相位分布的光束参数和变换角进行了详细的分析,发现光束阶数不同,产生不同类型的空心光束;Gyrator变换的变换角则影响空心光束能量分布;空心光束亮环的大小由四瓣高斯光束的束腰宽度决定,束腰宽度越大,矩形空心光束的宽度越小. 相似文献
5.
H.T. Eyyubolu Y. Baykal E. Sermutlu Y. Cai 《Applied physics. B, Lasers and optics》2008,92(2):229-235
For a weak turbulence propagation environment, the scintillation index of the lowest order Bessel–Gaussian beams is formulated.
Its triple and single integral versions are presented. Numerical evaluations show that at large source sizes and large width
parameters, when compared at the same source size, Bessel–Gaussian beams tend to exhibit lower scintillations than the Gaussian
beam scintillations. This advantage is lost however for excessively large width parameters and beyond certain propagation
lengths. Large width parameters also cause rises and falls in the scintillation index of off-axis positions toward the edges
of the received beam. Comparisons against the fundamental Gaussian beam are made on equal source size and equal power basis.
PACS 42.25.Dd; 42.25.Bs; 42.68.Bz; 42.68.-w 相似文献
6.
基于广义惠更斯-菲涅耳原理,采用Rytov相位结构函数二次近似和硬边窗口函数的复高斯展开法,推导了受光阑限制的多色高斯-谢尔模型(GSM)光束在大气湍流中的二阶矩束宽公式。研究表明:二阶矩束宽随着大气湍流折射率结构常数、源光谱带宽和光束传输距离的增加而增大,随着光束截断参数和光束相干参数的增加而减小;并且,当源光谱带宽越大、光束截断参数和光束相干参数越小,则湍流对受光阑限制的多色GSM光束扩展的影响就越小。关键词: 相似文献
7.
C. Z. ?il H. T. Eyyubo?lu Y. Baykal O. Korotkova Y. Cai 《Applied physics. B, Lasers and optics》2010,98(1):195-202
Root mean square (rms) beam wander of J
0-Bessel Gaussian and I
0-Bessel Gaussian beams, normalized by the rms beam wander of the fundamental Gaussian beam, is evaluated in atmospheric turbulence.
Our formulation is based on the first and the second statistical moments obtained from the Rytov series. It is found that
after propagating in atmospheric turbulence, the collimated J
0-Bessel Gaussian and the I
0-Bessel Gaussian beams have smaller rms beam wander than that of the Gaussian beam, regardless of the choice of Bessel width
parameter. However, the extent of such an advantage depends on the chosen width parameter, Gaussian source size, propagation
distance and the wavelength. Focusing at finite distances of the considered beams causes the rms beam wander to decrease sharply
at the propagation distances equal to the focusing parameter. 相似文献
8.
Yangli Ai 《Optics Communications》2011,284(13):3216-3220
For linear Gaussian Schell-model (GSM) array beams, the range of turbulence-negligible propagation, in which all of the spatial and angular spreading and the beam propagation factor increasing due to turbulence can be neglected, has been investigated in detail. It is shown that this range of GSM array beams increases with decreasing turbulent parameter and coherent parameter, and depends on the beam number, the waist width, and the relative beam separation distance. This range of a GSM array beam is larger than that of a coherent Gaussian array beam, and this range of a GSM array beam with a large relative beam separation distance is larger than that of a single GSM beam, implying that a GSM array beam may be more appropriate to be used in atmospheric optical communication links than a coherent Gaussian array beam or a GSM beam. 相似文献
9.
以厄米-双曲余弦-高斯(H-ChG)光束为例,对H-ChG光束通过大气湍流传输时的束宽扩展和角扩展做了详细研究.用相对束宽和相对角扩展代替束宽和角扩展来研究湍流对光束影响的灵敏程度.研究表明,折射率结构常数C2n越小,光束束宽扩展和角扩展越小.有较大阶数m,n,较小参数Ω0和束腰宽度w0 H-ChG光束的角扩展受湍流影响较小.当传输距离足够远时,这一结论对H-ChG光束的束宽扩展也成立.当传输距离不长时,对H-ChG光束相对束宽随Ω0和w0的变化规律做了分析.用数值计算例做了说明,并对结果的正确性做了物理解释.厄米-高斯,双曲余弦高斯和高斯光束在大气湍流中的扩展可作为H-ChG光束的特例来处理.
关键词:
束宽扩展和角扩展
大气湍流
厄米-双曲余弦-高斯光束 相似文献
10.
In this paper, we investigate a lens axicon, which actually is a lens with spherical aberration, illuminated by a polychromatic Gaussian beam for producing an extended axial line image of a desired length and nearly uniform intensity. A numerical calculation is performed to investigate the dependence of the axial intensity distribution of the focal segment on the parameters of the incident polychromatic Gaussian beam. It is shown that, compared with monochromatic Gaussian beam illumination, the illumination of the polychromatic Gaussian beam may improve the uniformity of the distribution of the axial intensity, and this improvement in the uniformity of the axis intensity is strongly dependent on the spectral width of the incident Gaussian beam. Moreover, apodization with annular super-Gaussian amplitude distribution is employed to reduce the undesired oscillation of the axial intensity. 相似文献
11.
12.
Yaling Yin 《Optics Communications》2008,281(22):5511-5514
We propose a simple optical device to convert a Gaussian laser beam into a neat semi-Gaussian laser beam without any diffraction fringe by using a spatial light modulator and a thin, sharp blade, and numerically calculate the diffracted, relative intensity distributions of both the semi-Gaussian laser field and the semi-Gaussian, pseudo-thermal light. We also study the dependence of the border width of the semi-Gaussian beam on the waist of the Gaussian beam. Our study shows that the proposed scheme can be used to cancel all diffraction fringes from both the straight edge of the blade and a finite lens aperture in all the planes vertical to the z axis and obtain a neat semi-Gaussian beam without any diffraction fringe, and find that the border width wB of the generated semi-Gaussian beam is not dependent on the waist of the incident Gaussian beam. 相似文献
13.
14.
The effects of temperature on the intensity profiles and self-deflection of matching Gaussian beam in biased two-photon centrosymmetric paraelectric photorefractive crystals are investigated by numerical simulation. The results show that the matching Gaussian beam can involve into a stable solitary wave after some propagation distance. The peak intensity decreases and the width of the matching Gaussian beam increases as temperature rises. The absolute value of the bending distance decreases monotonically with increasing of temperature. The crystal proposed here is potassium lithium tantalite niobate (KTN). 相似文献
15.
Pulse broadening of the femtosecond pulses in a Gaussian beam passing an angular disperser 总被引:4,自引:0,他引:4
A general analytical formula has been found to describe the evolution of the pulse width of the femtosecond pulses in a Gaussian beam after passing an angular disperser without the assumption of well collimation. This formula is experimentally verified by measuring the pulse width with an autocorrelator based on two-photon absorption. It is found that the effect of the spectral lateral walk-off and group delay dispersion on the pulse-width evolution, and its dependence on the distance traveled, are substantially different when the beam has not been well collimated than from when it has been collimated. These differences result from the decaying nature of the angular dispersion of the Gaussian beam sent across a distance. 相似文献
16.
The diffractive axicon for the illumination with Gaussian beams is designed. The stationary phase method and the numerical calculation are used to analyze the diffraction integral describing the diffraction field. It is shown that with the Gaussian beam illumination of a smaller beam radius, the axicon can produces the uniform-axial-intensity with the lower oscillation frequency and the smaller oscillation amplitude. In addition, with the Gaussian beam illumination of a suitable beam radius, we can achieve the more uniform central-core width. 相似文献
17.
The propagation characteristics of a scalar Gaussian beam in a homogeneous anisotropic medium are considered. The medium is described by a generic wave-number profile wherein the field is formulated by a Gaussian plane-wave distribution and the propagation is obtained by saddle-point asymptotics to extract the Gaussian beam phenomenology in the anisotropic environment. The resultant field is parameterized in terms of e.g., the spatial evolution of the Gaussian beam's curvature, beam width, which are mapped to local geometrical properties of the generic wave-number profile. 相似文献
18.
19.
Based on spherical vector wave functions and their coordinate rotation theory,the field of a Gaussian beam in terms of the spherical vector wave functions in an arbitrary unparallel Cartesian coordinate system is expanded.The beam shape coefficient and its convergence property are discussed in detail.Scattering of an arbitrary direction Gaussian beam by multiple homogeneous isotropic spheres is investigated.The effects of beam waist width,sphere separation distance,sphere number,beam centre positioning,and incident angle for a Gaussian beam with two polarization modes incident on various shaped sphere clusters are numerically studied.Moreover,the scattering characteristics of two kinds of shaped red blood cells illuminated by an arbitrary direction incident Gaussian beam with two polarization modes are investigated.Our results are expected to provide useful insights into particle sizing and the measurement of the scattering characteristics of blood corpuscle particles with laser diagnostic techniques. 相似文献
20.
采用积分变换的技巧,推导出了径向分布高斯列阵光束通过湍流大气传输的二阶矩束宽和远场发散角的解析公式,并详细研究了大气湍流对光束扩展和方向性的影响.研究表明,相干合成情况下,子光束数N越小、径向分布半径r0越大,列阵光束扩展受湍流影响越小.相干较非相干合成时列阵光束的扩展小,但非相干合成时列阵光束扩展受湍流的影响比相干合成时的小.特别地,N足够小或r0足够大时,相干与非相干合成列阵光束的远场束宽相等.另一方面,还给出了相干和非相干合成径向分布高斯列阵
关键词:
径向分布高斯列阵光束
大气湍流
相干和非相干合成
二阶矩束宽 相似文献