title: A numerically stable formulation of the Green's function parabolic equation: Subtracting the surface-wave pole.
abstract: The original formulation of the Green's function parabolic equation (GFPE) can have numerical accuracy problems for large normalized surface impedances. To solve the accuracy problem, an improved form of the GFPE has been developed. The improved GFPE formulation is similar to the original formulation, but it has the surface-wave pole "subtracted." The improved GFPE is shown to be accurate for surface impedances varying over 2 orders of magnitude, with the largest having a magnitude exceeding 1000. Also, the improved formulation is slightly faster than the original formulation because the surface-wave component does not have to be computed separately.
authors.affiliation: National Center for Physical Acoustics, University of Mississippi, University, Mississippi 38677 kgilbert@olemiss.edu.
authors.forename: Kenneth E
authors.initials: KE
authors.lastname: Gilbert
mesh_terms: D000465:Algorithms; D017097:Electric Impedance; D004777:Environment; D005583:Fourier Analysis; D055641:Mathematical Concepts; D013016:Sound; D013499:Surface Properties