A high-resolution view of the source-plane magnification near cluster caustics in wave dark matter models

We present the highest resolution images to date of caustics formed by wave dark matter ($ψ$DM) fluctuations near the critical curves of cluster gravitational lenses. We describe the basic magnification features of $ψ$DM in the source plane at high macromodel magnification and discuss specific differences between the $ψ$DM and standard cold dark matter (CDM) models. The unique generation of demagnified counterimages formed outside the Einstein radius for $ψ$DM is highlighted. Substructure in CDM cannot generate such demagnified images of positive parity, thus providing a definitive way to distinguish $ψ$DM from CDM. Highly magnified background sources with sizes $r\approx 1pc$, or approximately a factor of ten smaller than the expected de Broglie wavelength of $ψ$DM, offer the best possibility of discriminating between $ψ$DM and CDM. These include objects such as very compact stellar clusters at high redshift that JWST is finding in abundance.