  Simple RLC circuit models of guitar pickups do not account for audible
features that characterize the pickup. Psycho-acoustic experiments reveal that
any acoustically accurate model has to reproduce the first 30 milli-seconds 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.
