Gabor multipliers for pseudodifferential operators and wavefield propagators

Michael P. Lamoureux, Gary F. Margrave, Peter C. Gibson

We summarize some applications of Gabor multipliers as a numerical implementation of certain linear operators that arise in seismic data processing, including differential operators, nonstationary filters, and wavefield propagators. We demonstrate an approximation formula for pseudodifferential operators using Gabor multipliers. We present a demonstration of the almost factorization of Gabor symbols that is used in a fundamental way for nonstationary deconvolution. We give a numerical example of wavefield propagation through the EAGE salt model.