메뉴 건너뛰기




Volumn 67, Issue 4, 2007, Pages 1124-1146

Reconstruction of the shape and surface impedance from acoustic scattering data for an arbitrary cylinder

Author keywords

Far field; Impedance boundary; Inverse scattering; Numerics; Singularity analysis

Indexed keywords

ACOUSTIC WAVE SCATTERING; CYLINDERS (SHAPES); FUNCTION EVALUATION; IMPEDANCE MATCHING (ACOUSTIC); SOFTWARE PROTOTYPING;

EID: 34548286805     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/060654220     Document Type: Article
Times cited : (54)

References (25)
  • 1
    • 0041382761 scopus 로고    scopus 로고
    • Direct and inverse scattering problems for inhomogeneous impedance cylinders of arbitrary shape
    • I. AKDUMAN AND R. KRESS, Direct and inverse scattering problems for inhomogeneous impedance cylinders of arbitrary shape, Radio Sci., 38 (2003), pp. 1055-1064.
    • (2003) Radio Sci , vol.38 , pp. 1055-1064
    • AKDUMAN, I.1    KRESS, R.2
  • 2
    • 2542440699 scopus 로고    scopus 로고
    • The determination of the surface impedance of a partially coated obstacle from far field data
    • F. CAKONI AND D. COLTON, The determination of the surface impedance of a partially coated obstacle from far field data, SIAM. J. Appl. Math., 64 (2004), pp. 709-723.
    • (2004) SIAM. J. Appl. Math , vol.64 , pp. 709-723
    • CAKONI, F.1    COLTON, D.2
  • 3
    • 21244503183 scopus 로고    scopus 로고
    • The determination of the surface conductivity of a partially coated dielectric
    • F. CAKONI, D. COLTON, AND P. MONK, The determination of the surface conductivity of a partially coated dielectric, SIAM J. Appl. Math., 65 (2005), pp. 767-789.
    • (2005) SIAM J. Appl. Math , vol.65 , pp. 767-789
    • CAKONI, F.1    COLTON, D.2    MONK, P.3
  • 5
    • 84883755049 scopus 로고    scopus 로고
    • Recovery of boundaries and types for multiple obstacles from the far-field pattern
    • to appear
    • J. CHENG, J. J. LIU, G. NAKAMURA, AND S. Z. WANG, Recovery of boundaries and types for multiple obstacles from the far-field pattern, Quart. Appl. Math., to appear.
    • Quart. Appl. Math
    • CHENG, J.1    LIU, J.J.2    NAKAMURA, G.3    WANG, S.Z.4
  • 6
    • 1442327482 scopus 로고    scopus 로고
    • J. CHENG, J. J. LIU, AND G. NAKAMURA, Recovery of the shape of an obstacle and the boundary impedance from the far-field pattern, 3. Math. Kyoto U., 43 (2003), pp. 165-186.
    • J. CHENG, J. J. LIU, AND G. NAKAMURA, Recovery of the shape of an obstacle and the boundary impedance from the far-field pattern, 3. Math. Kyoto U., 43 (2003), pp. 165-186.
  • 7
    • 0000978411 scopus 로고    scopus 로고
    • A simple method for solving inverse scattering problems in the resonance region
    • D. COLTON AND A. KIRSCH, A simple method for solving inverse scattering problems in the resonance region, Inverse Problems, 12 (1996), pp. 383-393.
    • (1996) Inverse Problems , vol.12 , pp. 383-393
    • COLTON, D.1    KIRSCH, A.2
  • 12
    • 0000539082 scopus 로고
    • The Green function for uniformly elliptic equations
    • M. GRUTER AND K. O. WIDMAN, The Green function for uniformly elliptic equations, Manuscripta Math., 37 (1982), pp. 303-342.
    • (1982) Manuscripta Math , vol.37 , pp. 303-342
    • GRUTER, M.1    WIDMAN, K.O.2
  • 13
    • 0007267567 scopus 로고    scopus 로고
    • Reconstruction of the shape of the inclusion by boundary measurements
    • M. IKEHATA, Reconstruction of the shape of the inclusion by boundary measurements, Comm. Partial Differential Equations, 23 (1998), pp. 1459-1474.
    • (1998) Comm. Partial Differential Equations , vol.23 , pp. 1459-1474
    • IKEHATA, M.1
  • 14
    • 0033363378 scopus 로고    scopus 로고
    • Reconstruction of obstacles from boundary measurements
    • M. IKEHATA, Reconstruction of obstacles from boundary measurements, Wave Motion, 3 (1999), pp. 205-223.
    • (1999) Wave Motion , vol.3 , pp. 205-223
    • IKEHATA, M.1
  • 15
    • 13744260991 scopus 로고    scopus 로고
    • A new formulation of the probe method and related problems
    • M. IKEHATA, A new formulation of the probe method and related problems, Inverse Problems, 21 (2005), pp. 413-426.
    • (2005) Inverse Problems , vol.21 , pp. 413-426
    • IKEHATA, M.1
  • 16
    • 0000714376 scopus 로고    scopus 로고
    • Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
    • A. KIRSCH, Characterization of the shape of a scattering obstacle using the spectral data of the far field operator, Inverse Problems, 14 (1998), pp. 1489-1512.
    • (1998) Inverse Problems , vol.14 , pp. 1489-1512
    • KIRSCH, A.1
  • 17
    • 0035419114 scopus 로고    scopus 로고
    • Inverse scattering for shape and impedance
    • R. KRESS AND W. RUNDELL, Inverse scattering for shape and impedance, Inverse Problems, 17 (2001), pp. 1075-1085.
    • (2001) Inverse Problems , vol.17 , pp. 1075-1085
    • KRESS, R.1    RUNDELL, W.2
  • 19
    • 44649152262 scopus 로고    scopus 로고
    • Obstacle and boundary determination from scattering data
    • to appear
    • G. NAKAMURA AND M. SINI, Obstacle and boundary determination from scattering data, SIAM J. Math. Anal., to appear.
    • SIAM J. Math. Anal
    • NAKAMURA, G.1    SINI, M.2
  • 20
    • 33748865770 scopus 로고    scopus 로고
    • Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test
    • G. NAKAMURA, R. POTTHAST, AND M. SINI, Unification of the probe and singular sources methods for the inverse boundary value problem by the no-response test, Comm. Partial Differential Equations, 31 (2006), pp. 1505-1528.
    • (2006) Comm. Partial Differential Equations , vol.31 , pp. 1505-1528
    • NAKAMURA, G.1    POTTHAST, R.2    SINI, M.3
  • 22
    • 23844472089 scopus 로고    scopus 로고
    • Sampling and probe methods-An algorithmical view
    • R. POTTHAST, Sampling and probe methods-An algorithmical view, Computing, 75 (2005), pp. 215-235.
    • (2005) Computing , vol.75 , pp. 215-235
    • POTTHAST, R.1
  • 23
    • 33645279797 scopus 로고    scopus 로고
    • A survey on sampling and probe methods for inverse problems
    • R. POTTHAST, A survey on sampling and probe methods for inverse problems, Inverse Problems, 22 (2006), pp. R1-R47.
    • (2006) Inverse Problems , vol.22
    • POTTHAST, R.1
  • 24
    • 0037867566 scopus 로고
    • On Green's matrices for elliptic boundary value problems (I)
    • V. A. SOLONNIKOV, On Green's matrices for elliptic boundary value problems (I), Proc. Steklov. Inst. Math., 110 (1970), pp. 123-170.
    • (1970) Proc. Steklov. Inst. Math , vol.110 , pp. 123-170
    • SOLONNIKOV, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.