Enhancement of transmission line theory for finite-length non-uniform transmission lines using scattering theory
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Abstract
Classical multiconductor transmission line (MTL) theory is valid for infinitely-long, uniform transmission lines whose cross sectional dimensions are very small compared to the minimum wavelength. Therefore, non-uniformities such as bends, crossings, conductors of different lengths, or electrically distant conductors are not represented in classical MTL models. The proposed scattering based coupling (SBC) method, which uses electromagnetic scattering theory to model mutual coupling between conductors, has been used to model differently-lengthed and electrically distant parallel conductors. Scattered field transmission line (SFTL) model which regards both self and mutual fields to be scattered fields, has been used to model lossless, frequency-independent conductors, that crosses each other at variable crossing angles and for bent conductors at variable bending angles. The SBC and SFTL models have been compared with full-wave thin wire and full-wave, 3D-FEM solvers, respectively.