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为了研究厄米-正弦-高斯(HSiG)光束在非傍轴情形下受参量影响的特性,基于光强二阶矩理论,经过一系列复杂的数学计算,得出了非傍轴厄米-正弦-高斯光束的远场发散角、束腰宽度以及光束传输因子的解析式,并通过数值模拟,得到了它们与离心参量的关系。结果表明,在束腰宽度与波长比取值逐渐减小时,随着离心参量趋于0,当阶数为奇数和偶数时.发散角分别趋于63.435°和73.898°。束腰宽度和光束传输因子随参量的增加呈现较大的起伏,非傍轴情形下的光束传输因子取值与傍轴情况有很大的不同,其受参量影响不仅可以小于1,甚至趋于0。
In order to study the properties of Hermitian-Sine-Gaussian (HSiG) beams influenced by parameters under non-paraxial conditions, based on the second-order moment theory of light intensity, a series of complex mathematical calculations were made to obtain the non-paraxial Hermite-Sinusoidal - Gaussian beam far-field divergence angle, waist width and beam transmission factor analytic formula, and by numerical simulation, their relationship with the centrifugal parameters. The results show that the divergence angle tends to be 63.435 ° and 73.898 ° respectively when the order is odd and even when the values of the width and the wavelength of the beam waist decrease gradually. The waist width and the beam transmission factor show a large fluctuation with the increase of the parameters. The values of the beam transmission factor in the non-paraxial case are greatly different from those in the paraxial axis. The influence of the parameters can not only be less than 1, 0.