根据惠更斯-菲涅耳原理、空间频谱理论、能量守恒定律推导出一个波面为平面的小衍射源远场衍射积分公式的倾斜因子,给出一个衍射远场半球面上光场分布的计算表达式。根据满足正弦条件的准直物镜对光波波面的变换特性,给出小平坦波面光场的准直光场计算表达式,并以简单直角坐标偏振和简单柱面坐标偏振的高斯光束变换特性为例说明了该公式的应用。

Based on the Huygens-Fresnel principle, spatial frequency spectrum theory, and the law of energy conservation, we derive an inclination factor of the integral formula for far-field diffraction from a small diffractive source with a planar wavefront and provide an expression to calculate the light field distribution on the far-field hemispherical surface. Then, according to the characteristics of the wavefront transformation of a collimating objective satisfying the sine condition, a calculation formula is recommended for a collimating light field from a small diffractive source with a planar wavefront. Furthermore, applications of this formula are shown through the transformation characteristics of Gaussian beams of simple rectangular coordinate polarization and simple cylindrical coordinate polarization.