In:
The Journal of the Acoustical Society of America, Acoustical Society of America (ASA), Vol. 110, No. 5_Supplement ( 2001-11-01), p. 2619-2619
Abstract:
The parabolic equation method typically uses rational approximations to the square root operator. The split-step Padé method of Collins is more efficient and it uses rational approximations of the propagator—the exponential of the square root operator, say P=exp & lt;th & gt;is√1+X. Previously, only approximants of the type [p/p] are used. In order to damp the evanescent modes (and avoid instabilities), these [p/p] approximants are not the simple [p/p] Padé approximant of P. In this talk, we demonstrate that [p/(p+1)] Padé approximant of P can be used in the split-step Padé method. It is simple to construct and it has a good accuracy for approximating the propagating modes, yet it is guaranteed to suppress the evanescent modes. This approach will be compared with other variants of the split-step Padé method in numerical examples for acoustical waveguides.
Type of Medium:
Online Resource
ISSN:
0001-4966
,
1520-8524
Language:
English
Publisher:
Acoustical Society of America (ASA)
Publication Date:
2001
detail.hit.zdb_id:
1461063-2
