Pulsed source for driving non-linear current dependent loads

A method, comprising:

• providing a circuit that comprises:
• a power source;
• a capacitor;
• a charging switch;
• a load that has an impedance that is based upon an amount of current delivered to the load such that as the amount of the current that is delivered to the load rises, the impedance of the load rises;
• an inductive element connected in series with the load;
• and
• a discharge switch connected between the capacitor and the inductive element;
• closing the charging switch such that the power source charges the capacitor;
• and
• closing the discharge switch such that the capacitor discharges current through the inductive element to the load, wherein discharge of the current through the inductive element causes the inductive element to saturate, and further wherein the amount of current delivered to the load linearly increases for a time window subsequent to the inductive element becoming saturated.

A detonation system, comprising:

• a detonator, wherein the detonator has an impedance that increases as an amount of current delivered to the detonator increases;
• an inductive element connected to the detonator;
• a capacitor;
• and
• a discharge switch connected between the capacitor and the inductive element, wherein responsive to the discharge switch closing, the capacitor discharges a current that passes through the inductive element and is provided to the detonator, the inductive element and the capacitor configured such that the current causes the inductive element to saturate, wherein responsive to saturating, the inductive element causes the current through the detonator to linearly increase.