Support: United States — Israel Binational Science Foundation (BSF)

Period of Performance: October 1, 2015 — September 30, 2019

Budget: $126,000 (NCSU share $63,000)

Summary: Radio waves and sound waves can propagate through various media (like air, water, sand, glass, etc.) and can partially penetrate and partially reflect off various obstacles (a submarine under the ocean surface, a tumor in the human tissue, a land mine buried into the ground, etc.) An efficient capability of simulating these waves on a computer is therefore very important for a variety of applications including radar and sonar imaging, geophysics, radiophysics and telecommunications, medical imaging, nondestructive evaluation of materials, plane and submarine detection, active control of sound, etc. We propose a methodology for simulating the unsteady radio and sound waves on a computer that is superior to other techniques. For a broad class of important problems, it offers both a higher accuracy and faster speed of the simulation.