A system, apparatus, and method for optimizing structural parameters of a physical device are described. The method includes receiving an initial description of the physical device describing the structural parameters within a simulated environment. The method further includes performing a simulation of the physical device in response to an excitation source to determine a performance metric of the physical device. The simulation environment includes one or more absorbing boundaries for attenuation of an output of the excitation source during the simulation. The method further includes recording attenuated field values of the simulated environment associated with the attenuation during the simulation. The method further includes determining a loss metric based on a difference between the performance metric and a target performance metric, backpropagating the loss metric using the attenuated field values, and generating a revised description of the physical device by updating the structural parameters to reduce the loss metric.