In the astronomically natural transitional approximations for waves near caustics in gravitational lensing, the familiar wavelength scalings associated with short-wave asymptotics are accompanied by a variety of dependences on disparate astronomical lengths, such as the Schwarzschild radius, separation of binary stars, and distance to the lens. These dependences are calculated analytically for spacings of interference fringes and the corresponding intensity amplifications, for two much-studied models: lensing of a distant source by an isolated star and near the fold and cusp caustics from a binary star lens. If the aperture of a telescope looking in the direction of the source is modelled by Gaussian apodization, the image is a complexification of the wave in the observation plane.

在引力透镜中焦散附近波的天文自然过渡近似中，与短波渐近相关的熟悉的波长标度伴随着对不同天文长度的各种依赖，例如施瓦西半径、双星的分离以及到它们的距离。镜头。对于两个研究较多的模型，对干涉条纹的间距和相应的强度放大进行了分析计算：孤立星对远处源的透镜化和双星透镜的折叠和尖角焦散附近的透镜。如果用高斯切趾法模拟望远镜朝光源方向看的孔径，则图像是观测平面中波的复化。