Title :
An improved renormalization technique for profile inversion
Author :
Akhtar, M.J. ; Omar, A.S.
Author_Institution :
Magdeburg Univ., Germany
Abstract :
An accurate and efficient method for inverting the permittivity profile of a half space medium illuminated by TEM, TE or TM polarized waves is presented. It is based on an improved renormalization technique and an accurate numerical transform in conjunction with a revised version of the non-linear Riccati differential equation describing the direct problem. A known permittivity profile has been used to generate reflection coefficient data, which have then been used in conjunction with our proposed technique to reconstruct the permittivity profile. A deviation of a maximum of 2% could be easily achieved between original and reconstructed profiles.
Keywords :
Riccati equations; electromagnetic wave polarisation; electromagnetic wave reflection; electromagnetic wave scattering; inverse problems; nonlinear differential equations; permittivity; TE polarized wave; TEM polarized wave; TM polarized wave; accurate numerical transform; direct problem; efficient method; electromagnetic inverse scattering; half space medium; improved renormalization technique; nonlinear Riccati differential equation; permittivity profile inversion; permittivity profile reconstruction; profile inversion; reflection coefficient data; Differential equations; Discrete transforms; Electromagnetic measurements; Electromagnetic reflection; Electromagnetic scattering; Inverse problems; Permittivity measurement; Polarization; Riccati equations; Tellurium;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1999. IEEE
Conference_Location :
Orlando, FL, USA
Print_ISBN :
0-7803-5639-x
DOI :
10.1109/APS.1999.788384