Analysis of Active Loaded Transmission Line Using an Equivalent BCITL Model

Abstract

A bi-characteristic-impedance transmission line (BCITL) model is used to analyze a loaded active device transmission line. The BCITL possesses lossy and nonreciprocal properties. Selection of the BCITL parameters is a key to provide correct electrical properties at its terminal. Numerical examples show that BCITL models give good agreement with the transmission matrix method.

Graphical tool in analysis of active loaded transmission lines

“…A brief review of the BCITL model of active loaded transmission lines from [3] is presented here for convenience. A transmission line loaded with an active device is shown in Fig.…”

“…Recently, it can be modeled and analyzed using a bi-characteristic-impedance transmission line (BCITL) model [3]. One application of the BCITL is to model and analyze planar multilayer structures [4].…”

Theoretical Analysis of Moving Reference Planes Associated with Unit Cells of Nonreciprocal Lossy Periodic Transmission-Line Structures

“…Since,  + and  -each possess two possible solutions, it seems that there are four possible combined solutions for waves propagating along the infinite NRLSPTLS for the (forward, reverse) wave. However, only two valid solutions ( 1 + ,  2 -) and ( 2 + ,  1 -) must be chosen for the (forward, reverse) wave [14]. In addition, 0 Z  of nonreciprocal BCITLs can be expressed in terms of the total ABCD parameters of each nonreciprocal unit cell as follows [14]:…”

“…However, only two valid solutions ( 1 + ,  2 -) and ( 2 + ,  1 -) must be chosen for the (forward, reverse) wave [14]. In addition, 0 Z  of nonreciprocal BCITLs can be expressed in terms of the total ABCD parameters of each nonreciprocal unit cell as follows [14]:…”

“…At the terminal of a nonreciprocal unit cell in Fig. 3, the load reflection coefficients of the original and shifted unit cells are mathematically defined in terms of associated load impedances as (15) and (16), respectively [14]:…”