Surface Waves in Acoustics

Abstract : The article surveys the essential results obtained concerning acoustic surface waves on curved surfaces, and establishes their relationships with the corresponding plane surface waves. In view of the limited generality of the existing literature, the excitation mechanisms considered here for the generation of such surface waves have mostly been taken as those provided by a plane incident acoustic wave; more general mechanisms are briefly mentioned. A classification of surface and lateral waves on flat surfaces, and with a description of their properties is given. Surface waves generated by sound scattering on surfaces of simple or arbitrary curvature, both penetrable and impenetrable is discussed. Theoretical results are considered mainly, but selected illustrative examples of the recent experiments are given also. (Author)

[1]  B. Rulf Relation between Creeping Waves and Lateral Waves on a Curved Interface , 1967 .

[2]  Morris Kline,et al.  An asymptotic solution of Maxwell's equations , 1951 .

[3]  Thomas L. Geers Response of an Elastic Cylindrical Shell to a Transverse Acoustic Shock Wave in a Light Fluid Medium , 1970 .

[4]  H. Weyl,et al.  Ausbreitung elektromagnetischer Wellen über einem ebenen Leiter , 1919 .

[5]  H. Ott Reflexion und Brechung von Kugelwellen; Effekte 2. Ordnung , 1942 .

[6]  Yung Ming Chen,et al.  Diffraction by a Smooth Transparent Object. II. Diffraction by a Cylindrical Cavity , 1965 .

[7]  A. Schoch Schallreflexion, Schallbrechung und Schallbeugung , 1950 .

[8]  L. Knopoff,et al.  Scattering of Impulsive Elastic Waves by a Rigid Cylinder , 1959 .

[9]  C. Bouwkamp On Sommerfeld's Surface Wave , 1950 .

[10]  Y. F. Wang,et al.  Transient Interactions of Spherical Acoustic Waves and a Cylindrical Elastic Shell , 1970 .

[11]  R. Doolittle,et al.  Use of Sound Pulses for a Study of Circumferential Waves , 1966 .

[12]  W. Streifer,et al.  On the scattering of electromagnetic wabes by a dielectric cylinder , 1964 .

[13]  F. S. Lamb,et al.  On the Propagation of Tremors over the Surface of an Elastic Solid , 1904 .

[14]  Waldemar Schöbe Eine an die Nicholsonformel anschliessende asymptotische Entwicklung für Zylinderfunktionen , 1954 .

[15]  D. Ludwig Diffraction by a Circular Cavity , 1970 .

[16]  R. Doolittle,et al.  SOUND SCATTERING BY ELASTIC CYLINDERS. , 1968 .

[17]  R. W. Means,et al.  Scattering of Frequency‐Modulated Pulses by Spherical Elastic Shells in Water , 1968 .

[18]  R. R. Goodman,et al.  Circumferential Waves on Solid Cylinders , 1966 .

[19]  H. Überall,et al.  Transmitted Waves in the Diffraction of Sound from Liquid Cylinders , 1970 .

[20]  A. Rudgers Acoustic Pulses Scattered by a Rigid Sphere Immersed in a Fluid , 1969 .

[21]  A. Sommerfeld Über die Ausbreitung der Wellen in der drahtlosen Telegraphie , 1909 .

[22]  W. G. Neubauer Pulsed Circumferential Waves on Aluminum Cylinders in Water , 1969 .

[23]  Donald Ludwig,et al.  Uniform Asymptotic Expansion of the Field Scattered by a Convex Object at High Frequencies , 1967 .

[24]  M. L. Harbold,et al.  Direct Experimental Verification of Creeping Waves , 1969 .

[25]  Joseph B. Keller,et al.  Geometrical Theory of Elastic Surface‐Wave Excitation and Propagation , 1964 .

[26]  J. Zenneck Über die Fortpflanzung ebener elektromagnetischer Wellen längs einer ebenen Leiterfläche und ihre Beziehung zur drahtlosen Telegraphie , 1907 .

[27]  David Feit High‐Frequency Response of a Point‐Excited Cylindrical Shell , 1971 .

[28]  Louis Cagniard,et al.  Réflexion et réfraction des ondes séismiques progressives , 1939 .

[29]  R. Hickling Analysis of Echoes from a Hollow Metallic Sphere in Water , 1964 .

[30]  W. G. Neubauer Experimental Measurement of “Creeping” Waves on Solid Aluminum Cylinders in Water Using Pulses , 1968 .

[31]  The transient behavior of diffraction of plane pulse by a circular cylinder , 1964 .

[32]  W. G. Neubauer Experimental Observation of Three Types of Pulsed Circumferential Waves on Solid Aluminum Cylinders , 1968 .

[33]  B. Rulf,et al.  Rayleigh Waves on Curved Surfaces , 1969 .

[34]  T. L. Geers Scattering of a Transient Acoustic Wave by an Elastic Cylindrical Shell , 1972 .

[35]  J. Sackman,et al.  Surface Waves in an Elastic Half Space , 1961 .

[36]  J. Keller,et al.  Geometrical theory of diffraction. , 1962, Journal of the Optical Society of America.

[37]  F. Gilbert Scattering of Impulsive Elastic Waves by a Smooth Convex Cylinder , 1960 .

[38]  L. Rayleigh On Waves Propagated along the Plane Surface of an Elastic Solid , 1885 .

[39]  S. I. Rubinow Scattering from a penetrable sphere at short wavelengths , 1961 .

[40]  Joseph B. Keller,et al.  Surface Wave Excitation and Propagation , 1960 .

[41]  R. D. Doolittle,et al.  Sound Scattering by Elastic Cylindrical Shells , 1966 .

[42]  L. Felsen,et al.  On lateral waves in slab configurations and their relation to other wave types , 1965 .

[43]  Louis R. Dragonette Schlieren Visualization of Radiation Caused by Illumination of Plates with Short Acoustical Pulses , 1972 .

[44]  R. Doolittle,et al.  Circumferential Sound Pulses on Elastic Cylinders , 1967 .

[45]  C. W. Horton,et al.  Circumferential Waves in Thin‐Walled Air‐Filled Cylinders in Water , 1963 .

[46]  R. Hickling,et al.  Echoes from Hollow Aluminum Spheres in Water , 1967 .

[47]  H. Huang Transient Interaction of Plane Acoustic Waves with a Spherical Elastic Shell , 1969 .

[48]  R. Stoneley,et al.  Elastic waves at the surface of separation of two solids , 1924 .

[49]  R. D. Gregory The propagation of Rayleigh waves over curved surfaces at high frequency , 1971, Mathematical Proceedings of the Cambridge Philosophical Society.

[50]  Isao Imai Die Beugung elektromagnetischer Wellen an einem Kreiszylinder , 1954 .

[51]  Y. F. Wang,et al.  Early‐Time Interaction of Spherical Acoustic Waves and a Cylindrical Elastic Shell , 1971 .

[52]  R. Kouyoumjian Asymptotic high-frequency methods , 1965 .

[53]  F. G. Friedlander,et al.  Diffraction of sound pulses by a fluid cylinder , 1964, Mathematical Proceedings of the Cambridge Philosophical Society.

[54]  P. Beckmann,et al.  Creeping waves for objects of finite conductivity , 1956 .

[55]  W. M. Wright Scattering of Acoustic Impulses by a Cylinder in Air , 1970 .

[56]  Yung Ming Chen,et al.  Diffraction by a Smooth Transparent Object , 1964 .

[57]  Sing-Chih Tang,et al.  Interaction of a Plane Acoustic Wave with an Elastic Spherical Shell , 1970 .

[58]  Robert Hickling,et al.  Analysis of Echoes from a Solid Elastic Sphere in Water , 1962 .

[59]  K. Norton,et al.  Propagation of Radio Waves over a Plane Earth , 1935, Nature.

[60]  H. Überall,et al.  Acoustic Waves Transmitted Through Solid Elastic Cylinders , 1971 .

[61]  Masahumi Nagase On the Zeros of Certain Transcendental Functions related to Hankel Functions. Part I , 1954 .

[62]  C. W. Horton,et al.  Theoretical Analysis of the Scattering of Short Acoustic Pulses by a Thin‐Walled Metallic Cylinder in Water , 1962 .

[63]  Donald Ludwig,et al.  Uniform asymptotic expansions at a caustic , 1966 .

[64]  R. Hickling Frequency Dependence of Echoes from Bodies of Different Shapes , 1958 .

[65]  M. Junger Surface Pressures Generated by Pistons on Large Spherical and Cylindrical Baffles , 1967 .

[66]  H. Nussenzveig High‐Frequency Scattering by a Transparent Sphere. I. Direct Reflection and Transmission , 1969 .

[67]  R. G. Payton Transient Interaction of an Acoustic Wave with a Circular Cylindrical Elastic Shell , 1960 .