Inverse scattering for an impedance cylinder buried in a dielectric cylinder

Inverse Problems in Science and Engineering

Volumn 17, Issue 4, 2009, Pages 473-488

  Kress, Rainer ^a   Yaman, Fatih ^b   Yapar, Ali ^b   Akduman, Ibrahim ^b  

^a UNIVERSITY OF GÖTTINGEN   (Germany)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Boundary integral equations; Impedance condition; Inverse scattering; Tikhonov regularization

Indexed keywords

ARBITRARY SHAPE; BACKGROUND MEDIUM; CYLINDRICAL OBJECTS; DIELECTRIC CYLINDER; FAR-FIELD PATTERNS; ILL POSED; IMPEDANCE BOUNDARY; IMPEDANCE CONDITION; IMPEDANCE CYLINDER; IMPEDANCE FUNCTIONS; INVERSE METHODS; INVERSE SCATTERING; INVERSE SCATTERING PROBLEMS; LEAST-SQUARES APPROACH; LINEAR INTEGRAL EQUATIONS; MATHEMATICAL FOUNDATIONS; NUMERICAL EXAMPLE; SCATTERED FIELD; STABLE NUMERICAL SOLUTIONS; TIKHONOV REGULARIZATION; TIME-HARMONIC;

ACOUSTIC FIELD MEASUREMENT; BOUNDARY INTEGRAL EQUATIONS; CYLINDERS (SHAPES); DIELECTRIC MATERIALS; SCATTERING;

INVERSE PROBLEMS;

EID: 70350296386     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415970802131760     Document Type: Article

References (11)

1. I. Akduman and R. Kress, Direct and inverse scattering problems for inhomogeneous impedance cylinders of arbitrary shape. Radio Sci. 38 (2003), pp. 1055-1064.
2. P. Jakubik, and R. Potthast, Testing the integrity of some cavity - the Cauchy problem and the range test. Appl. Numer. Math. 2007, doi: 10.1016/j.apnum.2007.04.007.
3. R. Kress and W. Rundell, Inverse scattering for shape and impedance. Inverse Probl. 17 (2001), pp. 1075-1085.
4. P. Serranho, A hybrid method for inverse scattering for shape and impedance. Inverse Probl. 22 (2006), pp. 663-680.
5. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, 2nd ed., Springer Verlag, Berlin, 1998.
6. D. Colton and R. Kress, Integral Equation Methods in Scattering Theory, Wiley-Interscience Publications, New York, 1983.
7. R. Kress, On the numerical solution of a hypersingular integral equation in scattering theory. J. Comput. Appl. Math. 61 (1995), pp. 345-360.
8. R. Kress, Integral Equations, 2nd ed., Springer Verlag, Berlin, 1998.
9. R.F. Harrington, Matrix methods for field problems. Proc. IEEE 55 (1967), pp. 136-149.
10. J.H. Richmond, Scattering by a dielectric cylinder of arbitrary cross section shape. IEEE Trans. Antennas and Prop. 13 (1965), pp. 334-341.
11. P. Henrici, Applied and Computational Complex Analyis, Vol. 3, Wiley-Interscience Publications, New York, 1986.