Multiplane lensing in wave optics

ABSTRACT Wave effects in lensing form a rich phenomenon at the intersection of classical caustic singularities and quantum interference, yet are notoriously difficult to model. Due large number recently observed pulsars fast radio bursts astronomy prospected increase sensitivity gravitational wave detectors, have already been plasma will be near future. The interference fringes sensitive physical parameters, which cannot inferred from geometric optics. In particular, for multiplane lensing, pattern depends on redshifts lens planes. I present new method define efficiently evaluate coherent electromagnetic waves by plasmas lenses polynomial time. This allow use gravitational-wave sources probe our universe novel ways.