Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published February 1, 2019 | Submitted + Accepted Version
Journal Article Open

Shifted equivalent sources and FFT acceleration for periodic scattering problems, including Wood anomalies


This paper introduces a fast algorithm, applicable throughout the electromagnetic spectrum, for the numerical solution of problems of scattering by periodic surfaces in two-dimensional space. The proposed algorithm remains highly accurate and efficient for challenging configurations including randomly rough surfaces, deep corrugations, large periods, near grazing incidences, and, importantly, Wood-anomaly resonant frequencies. The proposed approach is based on use of certain "shifted equivalent sources" which enable FFT acceleration of a Wood-anomaly-capable quasi-periodic Green function introduced recently (Bruno and Delourme (2014) [4]). The Green-function strategy additionally incorporates an exponentially convergent shifted version of the classical spectral series for the Green function. While the computing-cost asymptotics depend on the asymptotic configuration assumed, the computing costs rise at most linearly with the size of the problem for a number of important rough-surface cases we consider. In practice, single-core runs in computing times ranging from a fraction of a second to a few seconds suffice for the proposed algorithm to produce highly-accurate solutions in some of the most challenging contexts arising in applications.

Additional Information

© 2018 Elsevier. Received 23 May 2018, Revised 26 October 2018, Accepted 27 October 2018, Available online 1 November 2018. OB gratefully acknowledges support by NSF and AFOSR and DARPA through contracts DMS-1411876 and FA9550-15-1-0043 and HR00111720035, and the NSSEFF Vannevar Bush Fellowship under contract number N00014-16-1-2808. MM work was supported from a PhD fellowship of CONICET and the Bec.AR-Fullbright Argentine Presidential Fellowship in Science and Technology.

Attached Files

Accepted Version - Shifted_equivalent_sources_and_FFT_acceleration_for_periodic_scattering_problems,_including_Wood_anomalies.pdf

Submitted - 1707.04950


Files (2.8 MB)

Additional details

August 22, 2023
October 19, 2023