Figure 12: AC responses of pseudo-capacitance 0.3n for different α.
The designing of FOCs is validated by the presence of their constant phase zones (CPZ). It has been observed that the fractance devices show constant or near constant behavior in terms of phase shift for the entire frequency band [32]. Figure 12 shows the constant phase zones of pseudo-capacitance 0.3n for orders 0.45, 0.52, 0,67 and 0.74. The plots show that other than a small ripple zone, the phase remains constant over most part of the frequency spectrum. The CO with C1=C2=0.3n in the integer domain gave oscillation frequency of 1.2GHz (simulated) with 100pH inductor. However, the same value of pseudo-capacitance, i.e. 0.3n with fractional order 0.4 results in a transient of oscillation frequency 1.7GHz. Further, by varying α with the same numerical value of capacitance generates plots of different frequency, thereby offering an extra degree of freedom in fractional calculus.