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T-branch, a hidden discontinuity tutorial

Modules

1. Introduction
2. Models and parameters
3. Practical solutions
4. Final remarks

pages: previous | 1 2 [3]

For OZ direction one considers a charge distribution  of     of   an   infinite  line   and  other two of  with   reversed  polarities  in  the point z = {-1,1}.

      The potentials are and . Them superposition produces on intervals zÎ(1,+¥) şi zÎ(-¥, -1) the following potential:

 

                     (2)

 

Taking into account those mentioned above and using a new superposition, the residual potential of the T-branch will be:

                                          

            (3)

 and the integral form:

                               (4)

 Green functions for corner are presented by [2]. Finally, the excess capacitance of the corner is presented in equation (5).

                                                  (5)

For a deeper research in practice, bellow are offered [2] a few approximations of the T-branch parameters, excellent formulas for some discontinuities in microstrip configurations being offered by the famous scientist Gupta. The approximations are included in the lumped equivalent circuit model presented in figure 2 for particular conditions of characteristic impedance (Z0=50W) and substrate (Al2O3, er=9,9). The inductances of the two arms can be evaluated very similar as in the case of the corner discontinuity.

 

1. Introduction
2. Models and parameters
3. Practical solutions
4. Final remarks

pages: previous | 1 2 [3]

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