Forced 2-D Energy Transitions Suitable for High Power Applications

Transitioning from one energy state to another, in a highly controlled manner, is a vexing problem for high power applications. In high power microwave, lasers, plasmas, and related situations there is often a need to create high power pulse trains with well-defined and as narrow as possible pulsewidths. Single one-shot pulses are also of interest. The resulting formulation allows for flexible and controllable pulse shape, duration, and periodicity. It provides for an optimal means for rapid transitions from low energy states to high energy ones. The essence of the approach stems from being able to describe pulse formation as 2-D switching in the phase plane for the associated dynamics of interest. Such a formulation is applicable to a wide array of situations beyond the electronic ones that are actually synthesized in order to confirm the underlying theory. A mathematical proof is also provided.