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应用标量光场光强的传统定义 ,推导了具有轴对称性的傍轴标量光束的光强二阶矩的传输规律。在此基础上 ,给出了光束的束腰半径、远场发散角及光束质量因子M2 ,并证明了光束质量因子M2 1。应用标量光场光强的精确定义 ,计算了非傍轴标量高斯光束的质量因子 ,结果表明 :当ω0 λ时 ,光束质量因子M2 可以小于 1,并随光束的束腰半径趋于零而趋向于零 ;ω0 >λ时 ,高斯光束的质量因子M2 非常接近于 1,且随光束束腰半径的增大迅速趋向于 1。此外 ,文章还对一些相关的问题进行了讨论。
By using the traditional definition of the light intensity of scalar light field, the law of transmission of the second moment of light intensity of paraxial scalar beams with axisymmetry is deduced. On this basis, the beam waist radius, far-field divergence angle and beam quality factor M2 are given, and the beam quality factor M2 1 is proved. Using the exact definition of the light intensity of a scalar light field, the mass factor of a non-paraxial scalar Gaussian beam is calculated. The results show that when ω0 λ, the beam quality factor M2 can be less than 1 and tend to follow the beam waist radius At zero; ω0> λ, the mass factor M2 of the Gaussian beam is very close to 1, and tends rapidly to 1 as the beam waist radius increases. In addition, the article also discussed some related issues.