Modulator for circular induction accelerator

1. A modulator circuit for generating discrete energy pulses in a device, the modulator circuit comprising:

a high voltage power source intermittently coupled to a saturable first inductor and a second inductor; and

a capacitor coupled in parallel between said high voltage power source and said saturable first inductor and said second inductor, wherein said saturable first inductor, said second inductor and said capacitor have a total resistance sufficiently low that the modulator circuit is underdamped.

2. The modulator circuit of claim 1 wherein a switch disposed between said high voltage power supply and said saturable first inductor, said second inductor and said capacitor is effective to both couple and decouple said high voltage power supply and regulate a polarity of power provided from said high voltage power supply.

3. The modulator circuit of claim 2 wherein the polarity of said energy pulses alternates each pulse.

4. The modulator circuit of claim 2 wherein said saturable first inductor includes a control winding effective to contribute a control flux and thereby adjust time to saturation.

5. The modulator circuit of claim 3 wherein said device is a circular induction accelerator.

6. The modulator circuit of claim 5 wherein said device is a Betatron.

7. A method for generating a pulsed high current, comprising:

coupling a modulator circuit to a circular induction accelerator wherein said modulator circuit includes a high voltage power source intermittently coupled to a saturable first inductor and a capacitor coupled in parallel between said high voltage power source and said saturable first inductor with said circular induction accelerator being electrically connected to said saturable first inductor and said capacitor;

charging said capacitor at first polarity for a first interval of time that does not exceed a time required to saturate said first inductor; and

after said first interval of time, discharging said capacitor into said circular induction accelerator and recharging said capacitor at a reversed polarity.

8. The method of claim 7 including replenishing said capacitor at said reverse polarity for a second time interval and then discharging said capacitor into said circular induction accelerator and then recharging said capacitor at said first polarity.

9. The method of claim 8 including disposing a switch between said power supply and said saturable first inductor, capacitor and circular induction accelerator, said switch effective to selectively couple and decouple said power supply from said saturable first inductor, capacitor and circular induction accelerator.

10. The method of claim 9 including selecting said switch to be effective to alternate the polarity of energy pulses delivered by said power supply when replenishing said capacitor.

11. The method of claim 10 wherein said saturable first inductor, capacitor and circular induction accelerator are selected such that their total resistance R 1 satisfies the equation

R

1

<

2

⁢

L

s

C

1

leading to an underdamped oscillating circuit.

12. The method of claim 11 wherein said saturable first inductor has a controllable inductance.

13. The method of claim 12 wherein a control winding around said saturable first inductor introduces a control flux to selectively adjust said time to saturation.

14. The method of claim 9 wherein said circular induction accelerator is selected to be a Betatron.

15. The method of claim 14 wherein said modulator circuit oscillates at a frequency of from 1.5 kHz to 2.5 kHz.