Spatial approximation of leaky wave surface amplitudes for three- dimensional high-frequency scattering: Fresnel patches and application to edge-excited and regular helical waves on cylinders

Journal of the Acoustical Society of America

Volumn 102, Issue 3, 1997, Pages 1628-1638

  Marston, Philip L ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; IMAGING; MEASUREMENT; PRIORITY JOURNAL; ULTRASOUND; WAVEFORM;

EID: 0030769796     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.420074     Document Type: Article

References (28)

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17. L. G. Zhang, N. H. Sun, and P. L. Marston, "Midfrequency enhancement of the backscattering of tone bursts by thin spherical shells," J. Acoust. Soc. Am. 91, 1862-1874 (1992); G. Kaduchak and P. L. Marston, "Observation of the midfrequency enhancement of tone bursts backscattered by a thin spherical shell in water near the coincidence frequency," ibid. 93, 224-230 (1993).
18. G. Kaduchak, D. H. Hughes, and P. L. Marston, "Enhancement of the backscattering of high-frequency tone bursts by thin spherical shells associated with a backwards wave: Observations and ray approximation," J. Acoust. Soc. Am. 96, 3704-3714 (1994).
19. S. G. Kargl and P. L. Marston, "Background contributions and coupling coefficients for backscattering by thick shells," J. Acoust. Soc. Am. 101, 3792-3797 (1997).
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22. P. L. Marston, "Leaky waves on curved scatterers. I. Fresnel width of coupling regions and elliptical Fresnel patches," J. Acoust. Soc. Am. 96, 1893-1898 (1994). See also applications of Fermat's principle in: J. B. Keller and F. C. Karal, "Surface wave excitation and propagation," J. Appl. Phys. 31, 1039-1046 (1960).
23. P. L. Marston, "Leaky waves on curved scatterers. I. Fresnel width of coupling regions and elliptical Fresnel patches," J. Acoust. Soc. Am. 96, 1893-1898 (1994). See also applications of Fermat's principle in: J. B. Keller and F. C. Karal, "Surface wave excitation and propagation," J. Appl. Phys. 31, 1039-1046 (1960).
24. b given below (A2).
25. P. L. Marston, "Approximate meridional leaky ray amplitudes for tilted cylinders: end-backscattering enhancements and comparisons with exact theory for infinite solid cylinders," J. Acoust. Soc. Am. 101, 358-369 (1997); "Approximation for leaky wave amplitudes in acoustic imaging: applications to high frequency sonar," Proceedings of the 23rd International Symposium on Acoustical Imaging, edited by S. Lees (submitted). In the first reference an overall factor of 2 was omitted from the right side of Eq. (12).
26. P. L. Marston, "Approximate meridional leaky ray amplitudes for tilted cylinders: end-backscattering enhancements and comparisons with exact theory for infinite solid cylinders," J. Acoust. Soc. Am. 101, 358-369 (1997); "Approximation for leaky wave amplitudes in acoustic imaging: applications to high frequency sonar," Proceedings of the 23rd International Symposium on Acoustical Imaging, edited by S. Lees (submitted). In the first reference an overall factor of 2 was omitted from the right side of Eq. (12).
27. N. G. Van Kampen, "The method of stationary phase and the method of Fresnel zones," Physica (Amsterdam) 24, 437-444 (1958).
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