Provider: Ingenta Connect
Database: Ingenta Connect
Content: application/x-research-info-systems
TY - ABST
AU - Küsel, Elizabeth T.
AU - Siegmann, William L.
AU - Collins, Michael D.
TI - The Split-Step Padé-Fourier Solution
JO - Acta Acustica united with Acustica
PY - 2007-09-01T00:00:00///
VL - 93
IS - 5
SP - 810
EP - 814
N2 - Range-dependent ocean acoustics problems can be solved accurately and efficiently with the parabolic equation method. Several approaches have been developed, including the split-step Padé and split-step Fourier solutions. The split-step Padé solution is based on rational
approximations and provides greater accuracy. The split-step Fourier solution is based on a linear approximation to the square root of an operator and provides greater efficiency for some high-frequency problems. The attributes of these approaches are combined to obtain the split-step Padé-Fourier
solution, which provides a high level of accuracy and permits range steps of up to thousands of wavelengths for some high-frequency problems. This solution is obtained by multiplying and dividing by the exponential on which the split-step Fourier solution is based. One of the factors is implemented
using the split-step Fourier solution. The other step is based on a rational approximation of an exponential function with a reduced oscillation rate, which permits larger range steps.
UR - https://www.ingentaconnect.com/content/dav/aaua/2007/00000093/00000005/art00014
ER -