高斯光束质量与波像差之间的关系

为了考察光阑截断时高斯光束质量与波像差之间的关系,采用高斯光束值作为截断高斯光束质量的评价参量,通过数值仿真的方法分析光学系统波像差对截断高斯光束质量的影响,给出了高斯光束值与波像差间的拟合关系。讨论了高斯光束质量与Kolmogoroff大气湍流强度间的关系,并给出了二者间的拟合公式。结果表明,该拟合公式的计算结果在相当广的湍流强度范围内与数值仿真结果较好吻合,这也进一步验证了高斯光束值与波像差拟合关系的正确性。

Relationship between Gaussian beam quality and wavefront aberration

In order to investigate the relationship between the truncated Gaussian beam and wavefront aberration, the parameter of Gaussian beam factor was proposed to evaluate the beam quality of the truncated Gaussian laser. The influence of wavefront aberration of optical system on Gaussian beam quality was analyzed by using numerical simulation method and the fitting relationship between Gaussian beam quality factor and wavefront aberration was given. As an example, the relationship between Gaussian beam quality and atmospheric turbulence strength with Kolmogoroff spectral was discussed and their fitting formula was given. The calculating results show that the fitted curve is in good agreement with the corresponding simulated data in a relatively wide range of turbulence strength, which further validate the correctness of the fitting formula between Gaussian beam factor and wavefront aberration.