Square Pulse Analysis of Nonlinear Resonance

A. Keller and S. Bhattacharya

Testing square wave pulse method

Understanding the origin of the non-linearity in the RLC circuit

Studying the effects of multiple non-linear RLC circuits in a ring lattice.

Goals

“Excitation”

Circuit adjusts to find new equilibrium

Similar to a spring with a magnet.

Method

Voltage

time

Linear Harmonic Oscillator

Varactor diode RLC

Node

Linking Inductor

Ryan Stearrett and L Q English, Experimental generation of intrinsic localized modes in a discrete electrical transmission line, J. Phys. D: Appl. Phys. 40 (2007) 5394–5398

Square wave method is an effective method for determining resonance of a circuit

Varactor diodes introduce non-linearity in resonant circuits.

Multiple non-linear resonant circuits create an anharmonic response dependent upon voltage (~3volts).

Conclusions

Dr. Nichols

Dr. Wrubel

Acknowledgements

Questions?