Friberg A T, Popov S Y
Appl Opt. 1996 Jun 1;35(16):3039-46. doi: 10.1364/AO.35.003039.
The characteristics of extended-range focal-line images generated in partially coherent light by annular-aperture logarithmic axicons are analyzed in terms of a certain generalized radiometric model. This radiometric description, which makes use of radiance propagation along geometric rays, is valid in the asymptotic short-wavelength limit, and it yields both the spectral density and the spatial coherence distributions of the images. The radio metrically obtained values on the image axis and in transverse planes are assessed against direct partially coherent wave-theoretical calculations. It is shown that the radiometric technique produces remarkably accurate results for the intensity and the spatial coherence profiles. Compared with diffraction calculations, the radiometric method is much faster, especially in conditions of relatively incoherent illumination.
利用某种广义辐射度模型，分析了环形孔径对数轴锥镜在部分相干光中产生的扩展范围焦线图像的特性。这种辐射度描述利用沿几何光线的辐射传播，在渐近短波长极限下是有效的，并且它能给出图像的光谱密度和空间相干分布。将在图像轴上和横向平面上通过辐射度法获得的值与直接的部分相干波动理论计算结果进行评估。结果表明，辐射度技术在强度和空间相干分布方面产生了非常准确的结果。与衍射计算相比，辐射度方法要快得多，特别是在相对非相干照明条件下。
