Answer 02: why can Smith circle "allow left string and right parallel"?

stay 《 answer 01：Smith Why can a circle “ Feel up and down Left string right parallel ”？》 In, we have described the origin of reflection coefficient , Then the reflection coefficient is normalized , After normalization, the graphical representation of normalized impedance in complex plane . Next we will try “ Bending ” This figure , And study “ Bending ” Later features ——

In life, there are many examples of transforming three-dimensional shape into plane shape ,

For example, peel and flatten a three-dimensional orange ,

Such as map “ Bending ” Become a globe ——

Now suppose I give you the following arm bar ,

Next , Please put the arm bar “ Bending ”——

Complex plane coordinates and Smith Circular graphs are two-dimensional planes , Operate the lines in the complex plane figure like breaking and bending the arm bar , So a straight line begins to evolve into a curve ——

The curve evolves into a closed circle ——

here , We have changed the Cartesian graph of the complex plane to Smith Circular graph , In order to deepen our understanding of , There are several typical lines that need to be understood again

The impedance of the black line , There is a characteristic ： The real part is 0;( The resistance is 0) The impedance of the red line , There is a characteristic ： The imaginary part is 0;( inductance 、 The capacitance is 0) The impedance of the blue line , There is a characteristic ： The real part is 1;( The resistance is 50 ohm ) The impedance of the yellow line , There is a characteristic ： The imaginary part is -1; The impedance of the orange line , There is a characteristic ： The imaginary part is 1

Turn into Smith Circle chart to reflect ：

adopt Smith Circular graph , Except for special lines , We can also simply and intuitively observe some areas , Take the following two examples ：

So far we have described Smith The formation process of circular graph , And a little understanding of the typical characteristic curve 、 Area ,

About “ Feel up and down , Left string right parallel ” The problem is still a threshold , And the limit of the length , Leave it to the next chapter .