Effects of Partial Spatial Coherence with Uniform-Intensity Diffractive Axicons

摘要

Apodized annular-aperture logarithmic axicons that form uniform-intensity axial211u001eline images with coherent light are studied in Gaussian-correlated illumination. 211u001eDiffractive assessment of the line-image distributions and spatial coherence 211u001eproperties involves a highly oscillating double 2D integral. The on-axis behavior 211u001edepends only on radial integrals that can be computed with special-purpose 211u001eroutines. The authors show that at all correlation levels the images at off-axis 211u001epoints can be evaluated using a technique based on spline approximations. The 211u001eauthors also demonstrate that the method of stationary phase an be sequentially 211u001eapplied to the 4D diffraction integral yielding accurate 3D closed-form results. 211u001eThe stationary-phase formulas find applications in fast image evaluation, in 211u001eintensity balancing by varying the irradiance, and in designing axicon phase 211u001eprofiles. This paper complements the authors' earlier study of partially coherent 211u001eaxicon images by radiometric transport techniques.