Reconstruction of Permittivity Profiles Through a Transformation of the Differential Equation for the Reflection Coefficient
作者:
M. Razzaghi,
F. Ahmad,
期刊:
Journal of Electromagnetic Waves and Applications
(Taylor Available online 1999)
卷期:
Volume 13,
issue 6
页码: 757-765
ISSN:0920-5071
年代: 1999
DOI:10.1163/156939399X01311
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In this paper a one-dimensional inverse scattering problem is considered. An approximate inversion formula in a closed-form is derived. Using this formula, an approximate permittivity profile is generated from the partial knowledge of the frequency domain reflection coefficient. This formula is deduced through the application of a linear transformation to a nonlinear differential equation for the frequency domain reflection coefficient. Examples are given to demonstrate the accuracy of this approximate inversion formula.
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