Study of the comparison of the methods of equivalent sources and boundary element methods for near-field acoustic holography

Journal of the Acoustical Society of America

Volumn 120, Issue 6, 2006, Pages 3694-3705

  Valdivia, Nicolas P ^a   Williams, Earl G ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; CONFORMAL MAPPING; FUSELAGES;

CONFORMAL SURFACE; EQUIVALENT SOURCES METHOD (ESM); FUSELAGE SURFACE; NEAR-FIELD ACOUSTIC HOLOGRAPHY;

ACOUSTIC HOLOGRAPHY;

ACOUSTICS; ANALYTICAL ERROR; ARTICLE; FORCE; INTERMETHOD COMPARISON; MATHEMATICAL ANALYSIS; MEASUREMENT; PRIORITY JOURNAL; SURFACE PROPERTY; VALIDATION PROCESS; VELOCITY;

ACOUSTICS; HOLOGRAPHY; HUMANS; MODELS, STATISTICAL; PHYSICS;

EID: 33845367671     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2359284     Document Type: Article

References (22)

1. E. G. Williams and J. D. Maynard, " Holographic imaging without the wavelength resolution limit., " Phys. Rev. Lett. 45, 554-557 (1980).
2. E. G. Williams, Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography (Academic, London, 1999).
3. K. E. Atkinson, The Numerical Solution of Integral Equations of the Second Kind (Cambridge University Press, New York, 1997).
4. M. R. Bai, " Application of bem (boundary element method)-based acoustic holography to radiation analysis of sound sources with arbitrarily shaped geometries., " J. Acoust. Soc. Am. 92, 533-549 (1992).
5. P. C. Hansen, Rank-Deficient and Discrete Ill-Posed Problems (Siam, Philadelphia, 1998).
6. N. Valdivia and E. G. Williams, " Krylov subspace iterative methods for boundary element method based near-field acoustic holography., " J. Acoust. Soc. Am. 117, 711-724 (2005).
7. I. N. Vekua, " About the completeness of the system of metaharmonic functions., " Dokl. Akad. Nauk SSSR 90, 715-718 (1953).
8. V. D. Kupradze, Potential Methods in the Theory of Elasticity (Fitzmatizdat, Moscow, 1965).
9. C. Müller and H. Kersten, " Two classes of complete systems of functions for the treatment of boundary value problems for the reduced wave equation Δu+ k2 u=0., " Math. Methods Appl. Sci. 2, 48-67 (1980).
10. G. H. Koopmann, L. Song, and J. Fahnline, " A method for computing acoustic fields based on the principle of wave superposition., " J. Acoust. Soc. Am. 86, 2433-2438 (1989).
11. R. D. Miller, J. E. T. Moyer, H. Huang, and H. Uberall, " A comparison between the boundary element method and the wave superposition approach for the analysis of the scattered fields from rigid bodies and elastic shells., " J. Acoust. Soc. Am. 89, 2185-2196 (1991).
12. A. Sarkissian, " Method of superposition applied to scattering from a target in shallow water., " J. Acoust. Soc. Am. 95, 2340-2345 (1994).
13. Y. I. Bobrovnitskii and T. M. Tomilina, " General properties and fundamental errors of the method of equivalent sources., " Acoust. Phys. 41, 649-660 (1995).
14. A. Sarkissian, " Extension of measurement surface in near-field acoustic holography., " J. Acoust. Soc. Am. 115, 1593-1596 (2004).
15. A. Sarkissian, " Method of superposition applied to patch near-field acoustic holography., " J. Acoust. Soc. Am. 118, 671-678 (2005).
16. T. Semenova and S. F. Wu, " On the choice of expansion functions in the Helmholtz equation least-squares method., " J. Acoust. Soc. Am. 117, 701-710 (2005).
17. D. Colton and R. Kress, Inverse Acoustics and Electromagnetic Scattering Theory (Springer-Verlag, New York, 1992).
18. D. Colton and R. Kress, Integral Equation Methods in Scattering Theory (Wiley-Interscience, New York, 1983).
19. T. K. DeLillo, V. Isakov, N. Valdivia, and L. Wang, " The detection of surface vibrations from interior acoustical pressure., " Inverse Probl. 19, 507-524 (2003).
20. N. Valdivia and E. G. Williams, " Implicit methods of solution to integral formulations in boundary element methods based near-field acoustic holography., " J. Acoust. Soc. Am. 116, 1559-1572 (2004).
21. E. G. Williams, " Continuation of acoustic near-fields., " J. Acoust. Soc. Am. 113, 1273-1281 (2002).
22. P. Herdic, B. Houston, M. Marcus, E. Williams, and A. Baz, " The vibro-acoustic response and analysis of a full-scale aircraft fuselage section for interior noise reduction., " J. Acoust. Soc. Am. 117, 3667-3678 (2005).