Parametric resonator for electrical transduction

1. A parametric resonator comprising:

an electronic device having an electrical parameter configured to oscillate at a pump frequency in response to an applied force to the electronic device;

wherein, when the pump frequency is twice a resonance frequency of the parametric resonator, the parametric resonator is configured to:

generate parametric resonance in response to the oscillating electrical parameter; and

sustain an electrical signal responsive to varying the electrical parameter of the electronic device without requiring a permanent charge or a voltage applied to the electronic device;

wherein the electronic device is a capacitor having the electrical parameter of capacitance;

wherein the capacitance is variable in response to the applied force;

wherein, when the pump frequency is twice a resonance frequency of the parametric resonator, the parametric resonator is further configured to sustain the electrical signal responsive to varying the capacitance of the capacitor between a first capacitance that is equal to an average capacitance plus a change in capacitance and a second capacitance that is equal to the average capacitance minus the change in capacitance; and

wherein the change in capacitance is equal to or greater than about twice the average capacitance divided by a quality factor of the parametric resonator.

2. The parametric resonator of claim 1 further configured to generate the electrical signal responsive to varying the capacitance without requiring a permanent charge or a voltage applied to the electronic device.

3. The parametric resonator of claim 1 , wherein the pump frequency is between about 16 kHz and 100 MHz.

4. The parametric resonator of claim 1 , wherein the applied force is a mechanical force; and

wherein the average capacitance is a function of the mechanical force acting to vary the capacitance of the capacitor.

5. The parametric resonator of claim 1 forming at least a portion of an implantable medical device.

6. The parametric resonator of claim 1 , wherein the capacitor has a mechanical resonance frequency equal to about twice an electrical resonance frequency of the parametric resonator.

7. A parametric resonator system comprising:

an electronic component of an RLC circuit;

wherein the RLC circuit has a resonance frequency;

wherein the electronic component has an electrical parameter that oscillates at a pump frequency in response to an external force;

wherein, when the pump frequency is twice the resonance frequency of the RLC circuit, the parametric resonator system is configured to self-sustain an oscillating electrical signal in response solely to varying the electrical parameter;

wherein the electronic component is a capacitor having the electrical parameter of capacitance;

wherein the capacitance is variable in response to the external force;

when the pump frequency is twice the resonance frequency of the RLC circuit, the parametric resonator system is further configured to sustain the oscillating electrical signal responsive to varying the capacitance of the capacitor between a first capacitance that is equal to an average capacitance plus a change in capacitance and a second capacitance that is equal to the average capacitance minus the change in capacitance; and

wherein the change in capacitance is equal to or greater than about twice the average capacitance divided by a quality factor of the parametric resonator system.

8. The parametric resonator system of claim 7 , wherein the system is configured to self-sustain the oscillating electrical signal without requiring an electrical power source selected from the group consisting of a DC bias, an electrical charge, and external electrical power source.

9. The parametric resonator system of claim 8 , wherein the pump frequency is between about 16 kHz and 100 MHz.

10. The parametric resonator system of claim 9 , wherein the capacitor is a modulated capacitor.

11. The parametric resonator system of claim 10 , wherein the parametric resonator system is configured to sustain the oscillating electrical signal in response to varying the capacitance of the modulated capacitor with the application of an acoustic signal at the pump frequency to the modulated capacitor.

12. The parametric resonator system of claim 11 , wherein the pump frequency of the acoustic signal is about twice a frequency of the oscillating electrical signal.

13. The parametric resonator system of claim 7 further comprising:

the RLC circuit; and

a transmitter for transmitting the external force at the pump frequency.

14. A method for electrical transduction comprising:

generating parametric resonance in a parametric resonator in response to an applied force to an electronic component of the parametric resonator oscillating an electrical parameter of the electronic component of the parametric resonator; and

sustaining the parametric resonance in the parametric resonator solely by the applied force oscillating the electrical parameter of the electronic component;

wherein a transmitter transmitting the applied force to the electronic component is in wireless communication with the electronic component;

wherein the oscillating electrical parameter has a pump frequency that is twice a resonance frequency of the parametric resonator;

wherein the electronic component is a capacitor having the electrical parameter of capacitance;

wherein the capacitance is variable in response to the applied force;

wherein the method further comprises sustaining the parametric resonance responsive to varying the capacitance of the capacitor between a first capacitance that is equal to an average capacitance plus a change in capacitance and a second capacitance that is equal to the average capacitance minus the change in capacitance; and

wherein the change in capacitance is equal to or greater than about twice the average capacitance divided by a quality factor of the parametric resonator.

15. The method of claim 14 , wherein the applied force is a mechanical force.

16. The method of claim 15 further comprising:

applying the applied force to the capacitor;

oscillating the capacitance of the capacitor at the pump frequency in response to the mechanical force; and

generating an initial oscillation through inductive coupling of the parametric resonator with an electromagnetic signal.

17. A parametric resonator comprising a capacitive component having a capacitance that varies in response to an external force;

wherein the parametric resonator is configured to sustain an oscillating electrical signal in response to varying the capacitance of the capacitive component with the application of an acoustic signal to the capacitive component, without requiring an electrical power source;

wherein the acoustic signal varies the capacitance of the capacitive component between a first capacitance that is equal to an average capacitance plus a change in capacitance and a second capacitance that is equal to the average capacitance minus the change in capacitance; and

wherein the change in capacitance is equal to or greater than about twice the average capacitance divided by a quality factor of the capacitive component.

18. The parametric resonator of claim 17 , wherein the parametric resonator is further configured to oscillate the electrical signal at a resonance frequency responsive to varying the capacitance at a pump frequency that is about twice the resonance frequency.

19. The parametric resonator of claim 18 , wherein the pump frequency is between about 16 kHz and 100 MHz.

20. The parametric resonator of claim 17 , wherein a frequency of the acoustic signal is about twice a frequency of the oscillating electrical signal.