Interwinding Distributed Capacitance and Guitar Pickup Transient Response

Simple RLC circuit models of guitar pickups do not account for audible features that characterize the pickup. Psychoacoustic experiments reveal that any acoustically accurate model has to reproduce the first 30 ms of the transient response with extreme precision. The proposed model is impractical for simple-minded model reduction or brute force numerical simulations yet, by focusing on modeling electromagnetic details and exposing a connection to spectral graph theory, a framework for finding the transient response to sufficient accuracy is exposed.