Methods of isolation of modal resonances

Applied Mechanics Reviews

Volumn 51, Issue 7, 1998, Pages 449-474

  Veksler, Naum ^a   Izbicki, Jean Louis ^b   Conoir, Jean Marc ^b   Rembert, Pascal ^b  

^a Institut Superieur de l'Electronique et du Numerique   (France)

^b UNIVERSITÉ DU HAVRE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE SCATTERING; FUNCTIONS; MODAL ANALYSIS;

MODAL RESONANCES;

NATURAL FREQUENCIES;

EID: 0032122627     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.3099015     Document Type: Article

References (118)

1. Baum CE (1976), Singularity expansion method, in Transient electromagnetic fields, LB Felsen (ed), Springer, Berlin, 129-179.
2. Baum CE (1976), Emergent technology for transient and broadband analysis and synthesis of antennas and scatterers, Proc IEEE 64, 1598-1616.
3. Gaunaurd GC, Überall H, and Moser PJ (1981), Resonances of dielectrically coated conducting spheres and the inverse scattering problem, J Appl Phys 52, 35-43.
4. Überall H, Gaunaurd GC, and Murphy JD (1982), Acoustic surface wave pulses and the ringing of resonances, J Acoust Soc Am 72, 1014-1017.
5. Moser PJ and Überall H (1983), Complex eigenfrequencies of axi-symmetric perfectly conducting bodies and radar spectroscopy, Proc IEEE 71, 171-172.
6. Gaunaurd GC and Brill D (1984), Acoustic spectrogram and complex frequency poles of a resonant excited elastic tube, J Acoust Soc Am 75, 1680-1693.
7. Gaunaurd GC and Überall H (1985), Relation between creeping wave acoustic transient and the complex frequency poles of the sin- gularity expansion method, JAcoust Soc Am 78,234-243.
8. Tang W (1990), Relation between singularity expansion method (SEM) and resonance scattering theory (RST), Chinese J Acoust 9, 145-155.
9. Überall H, Delsanto PP, Alemar JD, and Nagl A (1990), Application of the singularity expansion method to elastic wave scattering, Appl Mech Rev 43, 235-249.
10. Breit G and Wigner EP (1936), Capture of slow neutrons, Phys Rev 49,519-531.
11. Vogt RH and Neubauer WG (1976), Relation between acoustic reflection and vibrational modes of elastic spheres, J Acoust Soc Am 60, 15-22.
12. Überall H (1978), Modal and surface wave resonances in acoustic wave scattering from elastic objects and in elastic wave scattering from cavities, in Modern problems in elastic wave propagation, J Miklowitz and J Achenbach (eds), Wiley, 239-263.
13. Dickey JW and Überall H (1978), Surface wave resonance in sound scattering from elastic cylinders, JAcoust Soc Am 63, 319-320.
14. Flax L, Dragonette LR, and Überall H (1978), Theory of elastic resonance excitation by sound scattering, J Acoust Soc Am 63, 72373!.
15. Haug AJ, Solomon SG, and Überall H (1978), Resonance theory of elastic wave scattering from a cylindrical cavity, J Sound Vib 57, 51-58.
16. Gaunaurd GC and Überall H (1978), Theory of resonant scattering from spherical cavities in elastic and viscoelastic media, J Acoust Soc Am 63, 1699-1712.
17. Murphy JD, Breitenbach ED, and Überall H (1978), Resonance scattering of acoustic waves from cylindrical shells, J Acoust Soc Am 64,677-683.
18. Gaunaurd GC and Überall H (1979), Numerical evaluation of modal resonances in the echoes of compressional waves scattered from fluid loaded elastic spherical shell, J Acoust Soc Am 50, 4642-4660.
19. Murphy JD, George J, Nagl A, and Überall H (1979), Isolation of the resonant component in acoustic scattering from fluid loaded elastic spherical shell, JAcoust Soc Am 65,368-373.
20. Derem A (1979), Relation entre la formation des ondes de surface et l’apparition de resonances dans la diffusion acoustique, Revue du Cethedec 58,43-79.
21. Brill D, Gaunaurd GC, and Überall H (1980), Resonance theory of elastic shear wave scattering from spherical fluid obstacles in solids, J Acoust Soc Am 67, 414-424.
22. Flax L and Überall H (1980), Resonances of elastic waves from spherical solid inclusion, JAcoust Soc Am 67, 1432-1442.
23. Flax L, Raju PK, George J, and Überall H (1980), Resonating fields inside elastic scattering objects, J Acoust Soc Am 68,973-979
24. Brill D, Gaunaurd GC, and Überall H (1981), Response surface in elastic wave scattering, J Acoust Soc Am 52, 3205-3214.
25. Gaunaurd GC and Überall H (1983), RST analysis of monostatic and bistatic echoes from an elastic sphere, J Acoust Soc Am 73, 112.
26. Nagl A, Überall H, Delsanto PP, Alemar JD, and Rosario E (1983), Refraction effects in the generation of helical surface waves on a cylindrical obstacle, Wave Motion 5, 235-247.
27. Gaunaurd GC and Werby MF (1985), Resonance response of submerged acoustically excited thick and thin shells, J Acoust Soc Am 77, 2081-2093.
28. Brill D and Gaunaurd GC (1987), Resonance theory of elastic waves ultrasonically scattered from an elastic sphere, J Acoust Soc Am 81, 1-21. '
29. Brill D, Ayres V, and Gaunaurd GC (1987), Influence of natural resonances on scattering and radiation processes, J Wash Acad Sci 77, 55-65.
30. Gaunaurd GC and Werby MF (1987), Lamb and creeping waves around submerged spherical shells resonantly excited by sound scattering, JAcoust Soc Am 82, 2021-2033.
31. Talmant M, Quentin G, Rousselot JL, Subrahmanyam JV, and Überall H (1988), Acoustic resonances of thin cylindrical shells and the resonance scattering theory, J Acoust Soc Am 84, 681 -688.
32. Werby MF, Überall H, Nagl A, Brown SH, and Dickey JW (1988), Bistatic scattering and identification of the resonances of elastic spheroids, JAcoust Soc Am 84, 1425-1436.
33. Sammelmann GS, Trivett DH, and Hackmann RH (1989), Acoustic scattering by a submerged spherical shell I: The bifurcation of the dispersion curve for the spherical antisymmetric Lamb wave, J Acoust Soc Am 85, 114-124.
34. Talmant M, Überall H, Miller RD, Werby MF, and Dickey JW (1989), Lamb waves and fluid-borne waves on water loaded, air filled thin spherical shells., JAcoust Soc Am 86,278-289. '
35. Norris AN (1990), Resonant acoustic scattering from solid targets, J Acoust Soc Am 88, 505-514.
36. Gaunaurd GC and Werby MF (1991), Sound scattering by resonantly excited, fluid-loaded, elastic spherical shells, J Acoust Soc Am 90,2536-2550.
37. Ho JM (1993), Acoustic scattering by submerged elastic cylindrical shells: uniform ray asymptotics, JAcoust Soc Am 94, 2936-2946.
38. Ho JM (1994), Monostatic and bistatic ray acoustic scattering by submerged elastic spherical shells, J Acoust Soc Am 95, 1264-1273.
39. Guo YP (1994), Approximate solutions of the dispersion equation for fluid-loaded cylindrical shells, JAcoust Soc Am 95, 1435-1440.
40. Guo YP (1994), Wave description of near field scattering from cylindrical shells, J Acoust Soc Am 95, 2006-2013.
41. Peine H and Guicking D (1995), Acoustical resonance scattering theory for strongly overlapping resonances, Acta Acustica 3, 233-241.
42. Poincaré H (1910), Sur la diffraction des ondes hertziennes, Rend. Circ Mat Palermo 29, 169-259.
43. Van der Pol B and Bremmer H (1937), Diffraction of electromagnetic waves from an electrical point source round a finitely conducting sphere, with applications to radio-telegraphy and the theory of the rainbow, Phil Mag 24, 141-176.
44. Scholte JGJ (1956), Seismic waves in a spherical hearth, Koninklijk Nederlands Meteorologisch Inst Commun 65, La Haye
45. Franz W (1957), Theorie der Beugung Elektromagnetischer Wellen, Springer-Verlag, Berlin.
46. Levy BR and Keller JB (1959), Diffraction by smooth object, Commun Pure Appl Math 12, 159-209.
47. Keller, JB (1962), Geometrical theory of diffraction, J Op Soc Am 52,116-130.
48. Nussenzveig HM (1965), High-frequency scattering by an impenetrable sphere, Ann Phys 34, 23-95.
49. Doolittle RD, Überall H, and Ugincius P (1968), Sound scattering by elastic cylinders, J Acoust Soc Am 43, 1-14.
50. Nussenzveig HM (1969), High-frequency scattering by a transparent sphere - I: Direct reflection and transmission, J Math Phys 10, 82124.
51. Nussenzveig HM (1969), High-frequency scattering by a transparent sphere - II: Theory of the rainbow and the glory, J Math Phys 10, 125-176.
52. Brill D and Überall H (1971), Acoustic waves transmitted through solid elastic cylinders, JAcoust Soc Am 50, 921 -939.
53. Frisk GV, Dickey JW, and Überall H (1975), Surface wave modes on elastic cylinders, J Acoust Soc Am 58,996-1008.
54. Frisk GV and Überall H (1976), Creeping waves and lateral waves in acoustic scattering by large elastic cylinders, J Acoust Soc Am 59, 46-54.
55. Dickey JW, Frisk GV, and Überall H (1976), Whispering Gallery wave modes on elastic cylinders, J Acoust Soc Am 59, 1339-1346.
56. Williams KL and Marston PL (1985), Backscattering from an elastic sphere: Sommerfeld-Watson transformation and experimental confirmation, JAcoust Soc Am 78, 1093-1102.
57. Williams KL and Marston PL (1986), Synthesis of backscattering from an elastic sphere using the Sommerfeld-Watson transformation and giving a Fabry-Perot analysis of resonances, J Acoust Soc Am 79, 1702-1708.
58. Derem A (1987), Théorie de la matrice S et transformation de Sommerfeld-Watson dans la diffusion acoustique, in La Diffusion Acoustique, N.Gespa, CEDOCAR.
59. Marston PL (1988), GTD for backscattering from elastic spheres and cylinders in water and the coupling of surface elastic waves with the acoustic field, J Acoust Soc Am 83,25-37.
60. Sun NH and Marston PL (1992), Variable phase coupling coefficient for leaky waves on spheres and cylinders from thick cylindrical shells, J Acoust Soc Am 91, 1398-1402.
61. Kaduchak G and Marston PL (1993), Observation of the midfrequency enhancement of tone bursts backscattered by a thin spherical shell in water near the coincidence frequency, J Acoust Soc Am 93, 224-230.
62. Rumerman ML (1993), Increased accuracy in the application of the Sommerfeld-Watson transformation to scattering of acoustic waves from spherical shells, J Acoust Soc Am 94, 1110-1120.
63. Neubauer WG, Ugincius P, and Überall H (1969), Theory of creeping waves in acoustics and their experimental demonstration, Z Naturforsch 24a, 691-700.
64. Marston PL (1995), Variable phase coupling coefficient for leaky waves on spheres from resonance scattering theory, Wave Motion 22, 65-74.
65. Marston PL and Sun NH (1995), Backscattering near the coincidence frequency of thin cylindrical shells: surface wave properties from elasticity theory and an approximate ray synthesis, J Acoust SocAm 97, 777-783.
66. Conoir JM, Izbicki JL, and Rembert P (1996), Scattering by cylindrical objects at oblique incidence, in Acoustic Interaction With Submerged Elastic Structures, series Stability Vibration and Control of Systems, series B5, Guran, Ripoche, and Ziegler (eds), World Scientific Publ, 81-128.
67. Veksler ND (1993), Resonance Acoustic Spectroscopy, Springer-Verlag, Berlin.
68. Überall H, Dragonette LR, and Flax L (1977), Relation between creeping waves and normal modes of vibration of a curved body, J Acoust Soc Am 61,711-715.
69. Gaunaurd GC and Werby MF (1991), Lamb and creeping waves around submerged spherical shells resonantly excited by sound scattering - Part II: further applications, J Acoust Soc Am 89, 1656-1667.
70. Hackman RH and Sammelman GS (1991), Acoustic scattering by a submerged, spherical shell - HI: Pole trajectories in the complex-fci plane, J Acoust Soc Am 90, 2705-2717.
71. Veksler ND, Izbicki JL, and Conoir JM (1994), Bending A wave in the scattering by a circular cylindrical shell: its relation with the bending free modes,-/Acoust Soc Am 96,287-293
72. Maze G, Léon F, Ripoche J, Klauson A, Metsaveer J, and Überall H (1995), Nature de I’onde de Scholte sur une coque sphérique, Acústica 81,201-213. '
73. Veksler ND, Izbicki JL, and Conoir JM (1996), Fluid filled cylindrical elastic shell: influence of the fluid-structure coupling on peripheral waves, Proc 4th Ini Congress on Sound and Vibration, St Petersburg, Russia, Crocker (ed), 1677-1682
74. Mow CC and Mente LJ (1963), Dynamical stresses and displacements around cylindrical discontinuities due to a plane harmonic shear wave, J Appl Mech 30, 598-604.
75. Varadan VK and Varadan VV (1979), Acoustic, Electromagnetic and Elastic Wave Scattering - Focus on the T-matrix Approach, VK Varadan and VV Varadan (eds), Pergamon Press.
76. Danila E, Conoir JM, Pareige P, and Izbicki JL, Multichannel resonant scattering theory applied to the acoustic scattering by an eccentric elastic cylindrical shell immersed in fluid, Wave Motion (Accepted for publication).
77. Pao YH and Mow CC (1971), Diffraction of Elastic Waves and Dynamic Stress Concentration, Crane Russak, New-York.
78. Junger MC and Feit D (1972), Sound, Structures and Their Interaction, MIT Press, Cambridge.
79. Shenderov EL (1989), Wave Problems in Hydroacoustics, Sudostro-enie, Leningrad, (in Russian).
80. Felsen L and Marcuvitz N (1973), Radiation and Scattering of Waves, Prentice Hall, New-York.
81. Gespa N (1987), La Diffusion Acoustique, Cedocar editions, Paris. Shenderov EL (1989), Sound, Radiation, and Scattering, Sudostro-enie, Leningrad, (in Russian).
82. H Überall (ed) (1992), Acoustic Resonance Scattering, Gordon and Breach, Philadelphia.
83. Überall H (1973), Surface wave in acoustics, in Physical Acoustics (vol 10), WP Mason and RN Thurston (eds), Acad Press, New-York.
84. Flax L, Gaunaurd GC, and Überall H (1981), Theory of resonance scattering, in Physical Acoustics (vol 15), WP Mason and RN Thurston (eds), Acad Press, New York.
85. Gaunaurd GC (1989), Elastic and acoustic resonance wave scattering, Appl Mech Rev 42,143-192.
86. Gaunaurd GC and Werby MF (1990), Acoustic resonance scattering by submerged elastic shells, Appl Mech Rev 43, 171 -208.
87. Marston PL (1992), Geometrical and catastrophe optics methods in scattering in Physical Acoustics (vol 21), WP Mason and RN Thurston (eds), Acad Press, New York.
88. Numrich SK and Überall H (1992), Scattering of sound pulses and the ringing of target resonances in Physical Acoustics (vol 21), WP Mason and RN Thurston (eds), Acad Press, New-York.
89. Maze G and Ripoche J (1983), Méthode d’isolement et d’identi-fication des resonances (MUR) de cylindres et de tubes soumis à une onde acoustique plane dans l’eau, Rev Phys Appl 18, 319-326.
90. Maze G, Ripoche J, Derem A, and Rousselot JL (1984), Diffusion d’une onde ultrasonore par des tubes remplis d’air immergés dans l’eau, Acustica 55, 69-85.
91. Ripoche J, Maze G, and Izbicki JL (1985), New research in nondestructive testing: resonance acoustic spectroscopy, Proc Ultrasonics Int 85, Butterworth Scientific, Guildford, 364-369.
92. Pareige P, Rembert P, Izbicki JL, Maze G, and Ripoche J (1989), Méthode impulsionnelle numérisée (MIN) pour l’isolement et l’identification des resonances de tubes immergés, Phys Lett 25, 353-354.
93. Quentin G and Cand A (1989), Pulsed resonance identification method, Electron Lett A 135, 143-146.
94. Veksler ND (1992), Intermediate background in problems of sound wave scattering by elastic shells, Acustica 76, 1-9.
95. Veksler ND and Korsunski VM (1982), Acoustic pressure formula for backscattering by thin elastic circular cylindrical shells, Acoust Lett 6, 70-78.
96. Kaplunov JD, Nolde EV, and Veksler ND (1992), Asymptotic description of the peripheral waves in scattering of a plane acoustic wave by a spherical shell, Acustica 76, 10-19.
97. Veksler ND (1993), Modal resonances in problems of acoustic waves scattering by elastic shells, Proc Estonian Acad Sc Phys Math 42, 14-21.
98. Veksler ND (1992), Intermediate background in problems of acoustic waves scattering by elastic shells, Akust Zh 38, 421 -426 (in Russian).
99. Kaplunov JD, Nolde EV, and Veksler ND (1994), Asymptotic formulae of the modal resonance of peripheral waves in the scattering of an obliquely incident plane acoustic wave by a cylindrical shell, Acustica 80, 280-293.
100. Goodman RR and Stem R (1962), Reflection and transmission of. sound by elastic spherical shells, J Acoust Soc Am 34, 338-344.
101. Werby MF (1991), Acoustical background for a submerged elastic shell, J Acoust Soc Am 90, 3279-3287.
102. Norris A and Vasudevan N (1992), Acoustic wave scattering from thin shell structures, J Acoust Soc Am 92, 3320-3336.
103. Koiter WT (1960), Consistent first approximation in the general theory of thin elastic shells, in The theory of thin elastic shells, WT Koiter (ed), N Holland, Amsterdam.
104. Veksler ND (1988), Sound wave scattering by circular cylindrical shells, Wave Motion 8, 525-536.
105. Gaunaurd GC (1992), Hybrid background coefficients to isolate the resonance spectrograms of submerged shells, J Acoust Soc Am 92, 1981-1984.
106. Kargl SG and Marston PL (1990), Longitudinal resonances in the form function for backscattering from a spherical shell: Fluid shell case, J Acoust Soc Am 88, 1114-1122.
107. Choi MS, Joo YS, and Lee JP (1997), Inherent background coefficients for submerged cylindrical shells, J Acoust Soc Am 101, 1743-1745.
108. Choi MS and Joo YS (1997), Theory of the background amplitudes in acoustic resonance scattering, J Acoust Soc Am 101, 2083-2087.
109. Conoir JM, Izbicki JL, and Lenoir O (1997), Phase gradient method applied to scattering by an elastic shell, Ultrasonics 35, 157-169.
110. Derible S, Izbicki JL, Rembert P (1995), New tools to determine the resonance widths of a cylindrical shell, World Congress on Ultrasonics, ConfProc, 101-104.
111. Rembert P, Derible S, and Izbicki JL (1996), Experimental measurement of resonance widths of a cylindrical elastic shell, Acta Acustica 82, S239, Forum Acusticum, Anvers.
112. Derible S, Rembert P, and Izbicki JL, Experimental measurement of resonance widths of a cylindrical elastic shell, Acta Acustica (accepted).
113. Derible S, Rembert P, Lenoir O, and Izbicki JL (1993), Elastic plate: Experimental measurement of resonance widths, Acoust Lett 16, 208-213.
114. Derible S, Rembert P, Lenoir O, and Izbicki JL (1993), Measurement of elastic plate resonance widths, Proc of 19th Ultrasonics Int Conf Butterworth, 483-486.
115. Veksler ND and Izbicki JL (1996), Modal resonances of peripheral waves, Acta Acustica 82, 401 -410.
116. Franz W (1954), Über die Greenshen Funktionnen des Zylinders und der Kugel, Z Naturforsch A9, 70.
117. Hõnl H, Maue AW, and Westpfahl K (1961), Theorie der Beugung, Springer, Berlin.
118. Veksler ND (1973), Method of computation and structure of the echo signal from acoustically rigid immovable sphere in boundless acoust medium, Trans Acad Sci USSR Mekh Tverd Tela, 84-96 (in Russian).