.. _example-matching_single_stub:
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Visualizing a Single Stub Matching Network
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Introduction
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This example illustrates a way to visualize the design space for a single stub matching network. The matching Network consists of a shunt and series stub arranged as shown below, (image taken from R.M. Weikle's Notes).

.. figure::  ../images/single_stub_matching_diagram.png
   :align:   center 
   :width:	400
   
   Single stub matching Network
   
A single stub matching network can be designed to produce maximum power transfer to the load, :math:`Z_L` at a single frequency. The matching network has two design parameters:
 
* length of series tline
* length of shunt tline
  
This script illustrates how to create a plot of reflection coefficient magnitude, vs series and shunt line lengths. The optimal designs are then seen as the minima of a 2D surface.    

Script
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.. plot:: ./pyplots/examples/single_stub_design_optimization.py
   :include-source: