Complex Beta of a Bipolar Transistor

Reading Introduction to Radio Frequency Design by Wes Hayward [W7ZOI], and literally by only page 5 I’m wanting to plot a chart - to help me to understand the nature of Beta in Complex terms - from the math presented:

\[\beta(F) = \frac{\beta_0}{1 + j\beta_0 F/F_T}\]

Notes:

• $\beta$ is Complex at RF
• The estimation: $\beta = F_T/F$ (solid red line above) only begins to be accurate well above $F_B$
• The phase angle of $\beta$ is $-45^\circ$ at $F_B$
• The phase angle of $\beta$ is $-90^\circ$ at $F_T$