Direct and Inverse Electromagnetic Scattering
The direct and inverse time-harmonic electromagnetic scattering from inhomogeneous media is considered. The physical problem of electromagnetic scattering from known objects is mathematically described by volume integral equations. Being able to master the direct problem is an absolute prerequisite to solving the corresponding inverse problem, which is naturally closely connected. When solving inverse scattering problems one tries to retrieve information about the unknown scatterer from the knowledge of incident probing waves and measured scattering data. We especially investigate methods to reconstruct the geometry and the material properties of inhomogeneous media from scattering data. The objects considered in this context axe either isotropic or anisotropic lossy dielectrics. The objects are assumed to be nonmagnetic. The inverse scattering problem can be formulated as a nonlinear optimization problem which is solved by means of iterative optimization schemes. Numerical examples demonstrate the efficiency of the proposed methods.
KeywordsInverse Problem Nonlinear Optimization Problem Electromagnetic Scattering Inverse Scattering Problem Inverse Scatter Problem
Unable to display preview. Download preview PDF.
- 1.Born M. and Wolf E. Principles of Optics. Pergamon Press, Oxford, 1964.Google Scholar
- 2.Chew, W. C. Waves and Fields in Inhomogeneous Media. Van Nostrand Reinhold, New York, 1990.Google Scholar
- 3.Colton, D. and Kress, R. Inverse Acoustic and Electromagnetic Scattering Theory. Applied Mathematical Sciences 93. Springer, Berlin Heidelberg New York, 1992.Google Scholar
- 6.Fadoulourahmane, S. An Inverse Problem for Time Harmonic Electromagnetic Waves In An Inhomogeneous Orthotropic Medium. Dissertation, University of Oulu, Oulu University Press, 1997.Google Scholar
- 7.Huber, C. J., Rieger, W., Haas, M. and Rucker, W. M. The numerical treatment of singular integrals in boundary element calculations. ACES Journal, Vol. 12, No. 2: 121–126, 1997.Google Scholar
- 12.Rieger, W., Buchau, A., Haas, M., Huber, C., Lehner G. and Rucker W. M. 2D-TE Inverse Medium Scattering: An Improved Variable Metric Method. IEEE AP-S International Symposium Digest, Vol. 3: 2140–2143, 1999.Google Scholar
- 13.Rieger, W., Buchau, A., Haas, M., Huber, C., Lehner G. and Rucker W. M. Image Reconstruction from Real Scattering Data. COMPEL-The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Vol. 18, No. 3: 382–394, 1999.Google Scholar
- 15.Rieger, W., Haas, M., Huber, C., Lehner G. and Rucker W. M. Reconstruction of Inhomogeneous Lossy Dielectric Objects in One Dimension. ACES Journal, Vol. 12, No. 2: 54–59, 1997.Google Scholar
- 16.Rieger, W., Haas, M., Huber, C., Lehner G. and Rucker W. M. A New Approach to the 2D-TE Inverse Electromagnetic Medium Scattering. IEEE AP-S International Symposium Digest, Vol. 2: 706–709, 1998.Google Scholar
- 17.Rieger, W., Haas, M., Huber, C., Lehner G. and Rucker W. M. An Improved Iterative Scheme with Incorporated a priori Information applied to Real Scattering data. USNC/URSI National Radio Science Meeting Digest, p. 17, 1998.Google Scholar