Study on the beam quality factor of sinh-Gaussian(ShG) beams
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摘要: 在标量光场角谱衍射理论的基础上,应用精确光强定义下的非傍轴标量光束的光强二阶矩理论,计算了非傍轴双曲正弦高斯光束的束腰半径、远场发散角、质量因子,并与傍轴双曲正弦高斯光束的质量因子进行了比较研究。数值计算表明,当双曲正弦高斯光束束腰半径较大时,传统光强定义下的光强二阶矩理论近似成立,傍轴与非傍轴理论计算的光束质量因子变化规律完全相同;束腰半径较小时,傍轴理论计算的结果有较大误差,必须采用精确光强定义下的非傍轴光束质量因子的定义作修正。
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关键词:
- 双曲正弦高斯光束 /
- 非傍轴双曲正弦高斯光束 /
- 光强二阶矩 /
- 光束质量因子
Abstract: Based on the angular spectrum representation and the theory of the second intensity moment of non-paraxial scalar beam,the beam waist radius,the far-field divergence angle and the beam quality factor of non-paraxial scalar sinh-Gaussian(ShG) beams were calculated.Compared with the beam quality factor of paraxial scalar sinh-Gaussian (ShG) beams,some new results were obtained.When the beam waist radius is relatively large,the theoretical calculations for the beam quality factor of paraxial and non-paraxial scalar sinh-Gaussian(ShG) beams change in the same way and the theory of the traditional second intensity moment of scalar light field is a valid approximation; when the beam waist radius is very small,they have a great difference and the theory of the second intensity moment of non-paraxial scalar beam must be used. -
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[1] CASPERSON L W,TOVAR A A.Hermite-sinusoidal-Gaussian beams in complex optical systems [J].J O S A,1998,A15(4):954～961.
[1] CASPERSON L W,HALL D G,TOVAR A A.Sinusoidal-Gaussian beams in complex optical systems [J].J O S A,1997,A14(12):3341～3348.
[2] TOVAR A A,CASPERSON L W.Production and propagation of Hermite-sinusoidal-Gaussian laser beams [J].J O S A,1998,A15(9):2425～2432.
[3] 王喜庆,吕百达.厄米-双曲正弦-高斯光束的M2因子 [J].物理学报,2002,51(02):247～251. [4] 张彬,马虹,吕百达.双曲正弦高斯光束的M2因子相干模 [J].物理学报,1999,48(10):1869～1874. [5] 曹清,邓锡铭,郭弘.横截面上光强的精确表述 [J].光学学报,1996,16(7):897～902. [6] 邓小玖,吴本科,肖苏.微小孔近场衍射的能量传输 [J].光学学报,2001,21(12):1432～1436. [7] GOODMAN J W.傅里叶光学系统 [M].北京:科学出版社,1976.54～55. [8] PORRAS M A.Finiteness and propagation law of the power density second-order moment for diffracted scalar light beam [J].Optic,1999,110(9):417～420.
[9] 邓小玖,胡继刚,刘彩霞 et al.光束质量因子的研究 [J].合肥工业大学学报(自然科学版),2002,25(6):1187～1190.
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