Power Gain is defined by

And in terms of Circuit Parameters, it can be written as

Since Gin is also a function of GL, the whole equation depends on GL.
. We can then raise the questions: For what values of GL, we can obtain the same power gain?
Manipulation of the equation for constant Gp gives a locus of points for GL on the Smith Chart which lie on a circle.
If we define a parameter

The center and the radius of the circles for constant Gp are given by

where

Here Gp has to be converted into a number using

The following example gives the constant power gain circles for NE76000 transistor at 10 GHz.
Be patient for the frames to change.