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首页> 外文期刊>Journal of Physics, D. Applied Physics: A Europhysics Journal >SIMULTANEOUS RECONSTRUCTION OF APPROXIMATE PROFILES OF AN INHOMOGENEOUS LOSSY MEDIUM THROUGH A COLLOCATION METHOD
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SIMULTANEOUS RECONSTRUCTION OF APPROXIMATE PROFILES OF AN INHOMOGENEOUS LOSSY MEDIUM THROUGH A COLLOCATION METHOD

机译：通过聚集方法同时重建不均匀的有损耗的中等大小的近似轮廓

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In this paper a one-dimensional inverse-scattering problem is considered. Two approximate inversion formulae are derived. Using these formulae, approximate permittivity and conductivity profiles of an inhomogeneous lossy medium are simultaneously generated from the partial knowledge of the reflection coefficient in the frequency domain. These formulae are deduced through the application of linear transformations to two nonlinear differential equations for the reflection coefficient in the frequency domain. Discrete versions of the inversion formulae are also developed. The transformed equations for the reflection coefficient in the frequency domain are applicable irrespective of whether the derivative of the unknown permittivity profile exists. An example to demonstrate these approximate inversion formulae is given. [References: 17]
机译：本文考虑了一维逆散射问题。推导了两个近似的反演公式。使用这些公式，可以根据对频域中反射系数的部分了解，同时生成不均匀有损耗介质的近似介电常数和电导率曲线。这些公式是通过将线性变换应用于两个非线性微分方程的频域反射系数得出的。还开发了离散形式的反演公式。不管是否存在未知介电常数分布的导数，都可以应用频域中反射系数的变换方程。举例说明了这些近似反演公式。 [参考：17]

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