Inverse obstacle scattering problems with a single incident wave and the logarithmic differential of the indicator function in the enclosure method

Inverse Problems

Volumn 27, Issue 8, 2011, Pages

  Ikehata, Masaru ^a  

^a GUNMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ABSOLUTE VALUES; CONVERGENCE RATES; CONVEX HULL; ENCLOSURE METHOD; GOVERNING EQUATIONS; INCIDENT WAVES; INDEPENDENT VARIABLES; INDICATOR FUNCTIONS; OBSTACLE SCATTERING; OTHER APPLICATIONS; TWO-DIMENSION;

DIFFRACTIVE OPTICS; ENCLOSURES; HELMHOLTZ EQUATION;

INVERSE PROBLEMS;

EID: 79961223540     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/27/8/085006     Document Type: Article

References (16)

1. Bateman H 1954 Higher Transcendental Functions (Bateman Manuscript Project vol 2) ed A Erdélyi (New York: McGraw-Hill)
2. Colton D and Kress R 1995 Eigenvalues of the far field operator for the Helmholtz equation in an absorbing medium SIAM J. Appl. Math. 55 1724-35
3. Elschner J and Yamamoto M 2008 Uniqueness in determining polyhedral sound-hard obstacles with a single incoming wave Inverse Problems 24 035004
4. Grisvard P 1985 Elliptic Problems in Nonsmooth Domains (Boston, MA: Pitman)
5. Ikehata M 1999 Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data Inverse Problems 15 1231-41 (Pubitemid 129618014)
6. Ikehata M 2000 Reconstruction of the support function for inclusion from boundary measurements J. Inverse Ill-Posed Problems 8 367-78 (Pubitemid 32276087)
7. Ikehata M 2000 On reconstruction in the inverse conductivity problem with one measurement Inverse Problems 16 785-93
8. Ikehata M 2003 Complex geometrical optics solutions and inverse crack problems Inverse Problems 19 1385-405
9. Ikehata M 2004 Inverse scattering problems and the enclosure method Inverse Problems 20 533-51
10. Ikehata M 2005 An inverse transmission scattering problem and the enclosure method Computing 75 133-56 (Pubitemid 41144612)
11. Ikehata M 2005 The Herglotz wavefunction, the Vekua transform and the enclosure method Hiroshima Math. J. 35 485-506
12. Ikehata M 2010 The enclosure method for inverse obstacle scattering problems with dynamical data over a finite time interval Inverse Problems 26 055010
13. Ikehata M 2010 A note on the enclosure method for an inverse obstacle scattering problem with a single point source Inverse Problems 26 105006
14. Ikehata M and Itou H 2009 Extracting the support function of a cavity in an isotropic elastic body from a single set of boundary data Inverse Problems 25 105005
15. Liu H and Zou J 2008 On uniqueness in inverse acoustic and electromagnetic obstacle scattering problems J. Phys.: Conf. Ser. 124 012006
16. Olver W J 1974 Asymptotics and Special Functions (New York: Academic)