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基于修正Kolmogorov谱,运用相位结构函数的平方近似,导出了适用于大天顶角传输的到达角起伏方差及其功率谱的解析表达式.研究结果表明,新导出的方差表达式在任意天顶角都是适用的.散射盘尺度和接收孔径对到达角起伏起平滑作用,当接收孔径远大于散射盘尺度时,由于孔径平滑作用,导出的表达式在任意天顶角都可以近似为弱起伏理论给出的结果;当接收孔径小于散射盘尺度时,散射盘尺度的平滑作用明显,接收孔径的平滑作用相对较小,传统的到达角起伏理论仅在小天顶角是适用的,在大天顶角必须用新导出的方差表达式.当接收孔径D<25 cm时,弱起伏理论给出的表达式的适用范围被限制在小于50°~70°的天顶角内.
Based on the modified Kolmogorov spectrum and the square approximation of the phase structure function, the analytic expression of the angular variation of the arrival angle and its power spectrum, which is suitable for the transmission of the large zenith angle, is derived. The results show that the newly derived variance expression can be applied to any zenith The scattering disk scale and the receiving aperture smooth the angle of arrival fluctuation. When the receiving aperture is much larger than the scale of the scattering disk, the derived expression can be approximated by a weak undulation due to the smoothing of the aperture due to the aperture smoothing Theory shows that when the receiving aperture is smaller than the scale of the scattering disk, the smoothing effect of the scattering disk scale is obvious and the receiving aperture smoothing effect is relatively small. The traditional arrival angle fluctuation theory is only applicable to the small zenith angle, The zenith angle must be derived with the newly derived variance expression. The range of application of the expression given by the weak undulation theory is limited to a zenith angle of less than 50 ° to 70 ° when the receiving aperture is D <25 cm.