A UNIFORMLY VALID FAR-FIELD ASYMPTOTIC-EXPANSION OF THE GREEN-FUNCTION FOR 2-DIMENSIONAL PROPAGATION ABOVE A HOMOGENEOUS IMPEDANCE PLANE

被引：15

作者：

CHANDLERWILDE, SN ^{[1
]}

HOTHERSALL, DC ^{[1
]}

机构：

[1] UNIV BRADFORD,DEPT CIVIL ENGN,BRADFORD BD7 1DP,W YORKSHIRE,ENGLAND

来源：

JOURNAL OF SOUND AND VIBRATION | 1995年 / 182卷 / 05期

关键词：

D O I：

10.1006/jsvi.1995.0225

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A generalized asymptotic expansion in the far field for the problem of cylindrical wave reflection at a homogeneous impedance plane is derived. The expansion is shown to be uniformly valid over all angles of incidence and values of surface impedance, including the limiting cases of zero and infinite impedance. The technique used is a rigorous application of the modified steepest descent method of Ott [1].

引用

页码：665 / 675

页数：11

共 29 条

[1]

Abramowitz M., 1965, HDB MATH FUNCTIONS

[2] UNIFORM ASYMPTOTIC EXPANSIONS OF INTERGRALS WITH STATIONARY POINT NEAR ALGEBRAIC SINGULARITY [J].

BLEISTEIN, N .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1966, 19 (04) :353-+

[3]

Brekhovskikh L.M., 1960, WAVES LAYERED MEDIUM

[4]

Chandler-Wilde S. N., 1991, GREEN FUNCTION 2 DIM

[5]

Chandler-Wilde SN, 1987, P I ACOUSTICS, V9, P37

[6] SOUND-PROPAGATION ABOVE AN INHOMOGENEOUS IMPEDANCE PLANE [J].

CHANDLERWILDE, SN ;

HOTHERSALL, DC .

JOURNAL OF SOUND AND VIBRATION, 1985, 98 (04) :475-491

[7] EFFICIENT CALCULATION OF THE GREEN-FUNCTION FOR ACOUSTIC PROPAGATION ABOVE A HOMOGENEOUS IMPEDANCE PLANE [J].

CHANDLERWILDE, SN ;

HOTHERSALL, DC .

JOURNAL OF SOUND AND VIBRATION, 1995, 180 (05) :705-724

[8]

CHANDLERWILDE SN, 1988, COMPUTERS MATH RES

[9]

CHANDLERWILDE SN, 1991, PUBLICATION LABORATO, V126

[10]

CHANDLERWILDE SN, 1988, THESIS U BRADFORD UK

← 1 2 3 →