Nonlinear transmission line high voltage pulse sharpening

A nonlinear transmission line comprising:

• a high voltage input configured to receive electrical pulses having a first peak voltage that is greater than 5 kV having a first rise time;
• a first circuit element electrically coupled with the high voltage input, the first circuit element comprising:
• a first nonlinear semiconductor junction capacitance device;
• a first resistor electrically coupled in series with the first nonlinear semiconductor junction capacitance device;
• and
• and a first inductor;
• a second circuit element electrically coupled with the first inductor, the second circuit element comprising:
• a second nonlinear semiconductor junction capacitance device;
• a second resistor electrically coupled in series with the second nonlinear semiconductor junction capacitance device;
• and
• a second inductor
• a third circuit element electrically coupled with the second inductor, the third circuit element comprising:
• a third nonlinear semiconductor junction capacitance device;
• a third resistor electrically coupled in series with the third nonlinear semiconductor junction capacitance device;
• and
• a third inductor;
• a fourth circuit element electrically coupled with the third inductor, the fourth circuit element comprising:
• a fourth nonlinear semiconductor junction capacitance device;
• a fourth resistor electrically coupled in series with the fourth nonlinear semiconductor junction capacitance device;
• and
• a fourth inductor;
• a fifth circuit element electrically coupled with the fourth inductor, the fifth circuit element comprising:
• a fifth nonlinear semiconductor junction capacitance device;
• a fifth resistor electrically coupled in series with the fifth nonlinear semiconductor junction capacitance device;
• and
• a fifth inductor;
• and
• a high voltage output providing a second peak voltage with a second rise time that is faster than the first rise time, the high voltage output electrically coupled with the fifth inductor.

A high voltage device comprising:

• a high voltage input configured to receive electrical pulses having a first peak voltage that is greater than 5 kV having a first rise time;
• a first nonlinear transmission line electrically coupled with the high voltage input, the first nonlinear transmission line comprising:
• a first plurality of circuit elements, each of the first plurality of circuit elements having a resistor and a nonlinear semiconductor junction capacitance device;
• and
• a first plurality of inductors, at least one of the first plurality of inductors is electrically coupled between two circuit elements of the first plurality of circuit elements;
• a second nonlinear transmission line electrically coupled with the first nonlinear transmission line, the second nonlinear transmission line comprising:
• a second plurality of circuit elements, each of the second plurality of circuit elements having a resistor and a nonlinear semiconductor junction capacitance device;
• and
• a second plurality of inductors, at least one of the second plurality of inductors is electrically coupled between two circuit elements of the second plurality of circuit elements;
• and
• a high voltage output electrically coupled with either or both the first nonlinear transmission line and the second nonlinear transmission line, the high voltage output providing a second peak voltage with a second rise time that is faster than the first rise time.