A fast and precise workflow for simulating electric field density in thin regions of superconducting resonators

There are a variety of simulation frameworks to calculate the electric field distribution for superconducting resonators and qubits. However, these software packages are impractically slow or not sufficiently accurate for calculation of the electric field density in thin regions on surfaces that are a source of dielectric loss. We present a workflow to rapidly and accurately calculate electric field density using a fast two-dimensional boundary integral equation formulation solver and demonstrate how this can be used with device measurements to predict losses in dielectric layers common in superconducting resonators and qubits.