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1)  linearly polarized Bessel-Gauss beam
线性偏振Bessel-Gauss光束
2)  azimuthally polarized Bessel-Gauss beam
方位偏振Bessel-Gauss光束
1.
With Collins diffraction integral formula in the paraxial approximation, the analytical expressions for the linearly polarized Bessel-Gauss beam and the azimuthally polarized Bessel-Gauss beam through any axisymmetric optical system that can be described by an ABCD ray transfer matrix are given in this paper.
利用Collins衍射积分公式,给出了线性偏振Bessel-Gauss和方位偏振Bessel-Gauss光束通过ABCD轴对称光学系统的解析表达式。
3)  Bessel-Gauss beam
Bessel-Gauss光束
1.
AbstractBy means of Collins diffraction integral formula in the paraxial approximation ,the analytical expression for azimuthally polarized Bessel-Gauss beam through any axisymmetric optical system that can be described by an ABCD ray transfer matrix is given in this paper.
利用Collins衍射积分公式,给出了方位偏振Bessel-Gauss光束通过ABCD轴对称光学系统的解析表达式。
2.
This article makes theoretical analysis on the relationship and distinction between Bessel and Bessel-Gauss beams,the optical intensity distribution at any propagation plane of ideal Bessel beam and the Bessel-Gauss beam,and the effect of the beam waist and the cavity length L on the Bessel-Gauss beam were simulated.
理论分析Bessel光束和Bessel-Gauss光束的相互联系及区别,数值模拟理想Bessel光束和Bessel-Gauss光束在任意平面的径向光强分布,以及光腰半径和谐振腔腔长对输出Bessel-Gauss光束的影响。
4)  Pulsed Bessel-Gauss beam
Bessel-Gauss脉冲光束
5)  linearly polarized light beam
线偏振光束
6)  Bessel beam
Bessel光束
1.
Based on the theory of diffraction integral,the optical field distribution of plane wave passing through an axicon is given,and he intensity distribution in cross-section of Bessel beam is simulated.
由衍射积分理论给出平行光通过轴棱锥后的光场分布表达式,模拟得到Bessel光束截面光强分布图。
2.
The propagation features of Bessel beams are numerically calculated.
利用数值计算从光场振幅的角度研究了 Bessel光束的纵向性质 ,发现 Bessel光束在自由空间中的传播可以理解为我们称之为 Bessel调制光场对另一个振幅为 1的平面波的调制 。
3.
This article makes theoretical analysis on the relationship and distinction between Bessel and Bessel-Gauss beams,the optical intensity distribution at any propagation plane of ideal Bessel beam and the Bessel-Gauss beam,and the effect of the beam waist and the cavity length L on the Bessel-Gauss beam were simulated.
理论分析Bessel光束和Bessel-Gauss光束的相互联系及区别,数值模拟理想Bessel光束和Bessel-Gauss光束在任意平面的径向光强分布,以及光腰半径和谐振腔腔长对输出Bessel-Gauss光束的影响。
补充资料:Bessel不等式


Bessel不等式
Bessel inequality

恢s犯一不等式{Be、sel inequaiity;.沁仪划.”搜哪峨洲,助i 不等式 。{汀,叭、川2 }}_/1I2以户)艺片七竺{兴一 黑沙。,价。, ,、{队中。}- 二、,}}r一‘习址一} 六!!”卜·ilj~’其中./是(准)Hill)。rt空间H‘「“的一个儿素,(f,动是11l的数量积,{呱:加一」}是11中非零儿素的正交系.无沦指标集4的基数是多少,Besscl不等式的右边都至多含有可数个」卜零翔.Bessc】不等式是从Bessd恒等式(Bessell(lentlt乡) ……了一,“一r……二三!、,?一客/‘、{戈一、:推得的,此式对j任意有限个儿素的集合{甲:;月‘二月{成立.在恒等;卜扫,护是向量厂关卜Ll一交系{叭一甲}的four,er系数u[I *“。二一牛“,汽.),*。二(汽,汽)· ~Or Bessel不等式的儿何意义在j一:元素f在儿素叭恤已封所生成的线性子空间上的d交投影的模不超过厂的模(即,直角三角形的斜边长不小于直角边的长).向量j属于向鼠价:口已月)所生成的闭线J性r空间的充分必要条件是Bessol不等式成为等式.如果对卜任意厂〔H都有一上述情况出现则称P~val等式(P ilrscValcquality)对上H旧的正交系{价。::C刁{成立 对于H中线叫一无关的(不一定是比交的冲七素系{甲,::二l,2…{Bessel恒等式及Bessel不等式分别取 形式 …1,。一今。:,‘、.。。。二!{,三 {l,刀万}{ 三}}f}2一艺帐”了,沪。)汀,今), 。刀二! 及 }If!l;)艺b:刀汀,毋。叮,切。), 。,刀二! 其中代产是最初的儿素系中前。个向量的Gram矩阵 (见Gralll行列式((子ram determ,na一It))的逆矩阵中的 J‘素. 这个不等式是由卜W.Bessd在1828年对扭角 函数系导出的.【补任】通常,把几素的比交系{明,}规格化即,令沙=明,广日价、这时,Besse】不等式取形式 艺比厂.汽)!落}一f’三,它比较容易记住.Bessel不等式以这种形式用少遏近沦、阮urier分析及正交多项式理论等.
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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