Simulating the Phonon Collection Efficiency in KIPMDs

Kinetic inductance phonon-mediated (KIPM) detectors are superconducting microcalorimeters that use microwave kinetic inductance detectors (MKIDs) to read out phonon signals in the device substrate. In order to improve the design of these detectors, we need to understand the effect of various detector design elements on the physical processes that take place within the detector through simulation efforts. One figure of merit for KIPM detectors is the phonon collection efficiency, $\eta_{ph]$, defined as the ratio of phonon energy detected by the sensitive element in the detector and the energy deposited by incident phonons in the substrate. Comparing the phonon collection efficiency obtained in simulation and in experiment for the same detector geometry provides insight to physical processes in the detector, such as phonon absorption at substrate-sensor interfaces and phonon loss to non-sensitive detector elements. This work models the phonon collection efficiency in two KIPM detectors with different geometries, one located at the Fermi National Accelerator Laboraory, the other located at the SLAC National Accelerator Laboratory.