Guha Shekhar, Gillen Glen
Opt Express. 2005 Mar 7;13(5):1424-47. doi: 10.1364/opex.13.001424.
Using nonparaxial vector diffraction theory derived using the Hertz vector formalism, integral expressions for the electric and magnetic field components of light within and beyond an apertured plane are obtained for an incident plane wave. For linearly polarized light incident on a circular aperture, the integrals for the field components and for the Poynting vector are numerically evaluated. By further two-dimensional integration of a Poynting vector component, the total transmission of a circular aperture is determined as a function of the aperture radius to wavelength ratio. The validity of using Kirchhoff boundary conditions in the aperture plane is also examined in detail.
利用基于赫兹矢量形式推导的非傍轴矢量衍射理论，得到了平面波入射时，有孔平面内外光的电场和磁场分量的积分表达式。对于线偏振光入射圆形孔径的情况，对场分量和坡印廷矢量的积分进行了数值计算。通过对坡印廷矢量分量进行进一步的二维积分，确定了圆形孔径的总透射率与孔径半径与波长之比的函数关系。还详细研究了在孔径平面使用基尔霍夫边界条件的有效性。
