Wireless energy transfer with high-Q at high efficiency

1. A system, comprising:

a source high-Q resonator coupled to an energy source; and

a second high-Q resonator, coupled to an energy drain, located a distance from the source resonator,

wherein the source resonator and the second resonator are coupled to provide κ/√{square root over (Γ 1 Γ 2 )}>0.2 via near-field wireless energy transfer among the source resonator and the second resonator over a range of distances between the source resonator and the second resonator, wherein κ is the wireless energy transfer rate, Γ 1 is the intrinsic loss rate of the source resonator, and Γ 2 is the intrinsic loss rate of the second resonator.

2. The system of claim 1 , wherein the energy drain comprises a robot, vehicle, computer, cell phone, or a portable electronic device.

3. The system of claim 1 , wherein at least one of the resonators has a Q-factor Q i >100.

4. The system of claim 1 , wherein at least one of the resonators is tunable.

5. The system of claim 1 , wherein at least 10 Watts of power is transferred over the range of distances.

6. The system of claim 1 , wherein κ/√{square root over (Γ 1 Γ 2 )}>0.5 over the range of distances.

7. The system of claim 1 , wherein κ/√{square root over (Γ 1 Γ 2 )}>1 over the range of distances.

8. The system of claim 1 , wherein each resonator comprises an inductive element and a capacitive element.

9. The system of claim 1 , wherein the range of distances includes 5 cm.

10. The system of claim 1 , wherein the range of distances includes 10 cm.

11. The system of claim 1 , wherein the range of distances includes 30 cm.

12. The system of claim 1 , wherein the resonators are movable relative to one another.

13. The system of claim 1 , wherein the resonators have respective resonant frequencies f 1 =ω 1 /2π and f 2 =ω 2 /2π which are each at least 5 MHz.

14. The system of claim 1 , further comprising a feedback mechanism coupled to at least one of the resonators to correct for detuning.

15. The system of claim 1 , wherein the energy source is coupled to the source resonator and the energy drain is coupled to the second resonator, and wherein the energy source and energy drain are configured to be driven to increase a ratio of useful-to-lost power for varying wireless energy transfer rates κ.

16. The system of claim 1 , wherein the source resonator and second resonator are configured to be adjustably tuned to increase a ratio of useful-to-lost power for the wireless energy transfer rate κ over the distances.

17. The system of claim 1 , wherein the source resonator has a Q-factor Q 1 and the second resonator has a Q-factor Q 2 , and wherein √{square root over (Q 1 Q 2 )}>100.

18. The system of claim 1 , wherein the source resonator has a Q-factor Q 1 >100 and the second resonator has a Q-factor Q 2 >100.

19. The system of claim 1 , wherein the source resonator and the second resonator have different characteristic sizes.

20. A method, comprising:

providing a source high-Q resonator coupled to an energy source and a second high-Q resonator, wherein the second high-Q resonator is coupled to an energy drain and located a distance from the source resonator,

wherein the source resonator and the second resonator are coupled to provide κ/√{square root over (Γ 1 Γ 2 )}>0.2 via near-field wireless energy transfer among the source resonator and the second resonator over a range of distances between the source resonator and the second resonator, wherein κ is the wireless energy transfer rate, Γ 1 is the intrinsic loss rate of the source resonator, and Γ 2 is the intrinsic loss rate of the second resonator.

21. The method of claim 20 , wherein the energy drain comprises a robot, vehicle, computer, cell phone, or a portable electronic device.

22. The method of claim 20 , wherein at least one of the resonators has a Q-factor Q i >100.

23. The method of claim 20 , wherein at least one of the resonators is tunable.

24. The method of claim 20 , wherein at least 10 Watts of power is transferred over the range of distances.

25. The method of claim 20 , wherein κ/√{square root over (Γ 1 Γ 2 )}>0.5 over the range of distances.

26. The method of claim 20 , wherein κ/√{square root over (Γ 1 Γ 2 )}>1 over the range of distances.

27. The method of claim 20 , wherein each resonator comprises an inductive element and a capacitive element.

28. The method of claim 20 , wherein the range of distances includes 5 cm.

29. The method of claim 20 , wherein the range of distances includes 10 cm.

30. The method of claim 20 , wherein the range of distances includes 30 cm.

31. The method of claim 20 , wherein the resonators are movable relative to one another.

32. The method of claim 20 , wherein the resonators have respective resonant frequencies f 1 =ω 1 /2π and f 2 =ω 2 /2π which are each at least 5 MHz.

33. The method of claim 20 , wherein a feedback mechanism is coupled to at least one of the resonators to correct for detuning.

34. The method of claim 20 , wherein the energy source is coupled to the source resonator and the energy drain is coupled to the second resonator, and wherein the energy source and energy drain are driven to increase a ratio of useful-to-lost power for varying wireless energy transfer rates κ.

35. The method of claim 20 , wherein the source resonator and second resonator are adjustably tuned to increase a ratio of useful-to-lost power for varying wireless energy transfer rates κ over the distances.

36. The method of claim 20 , wherein the source resonator has a Q-factor Q 1 and the second resonator has a Q-factor Q 2 , and wherein √{square root over (Q 1 Q 2 )}>100.

37. The method of claim 20 , wherein the source resonator has a Q-factor Q 1 >100 and the second resonator has a Q-factor Q 2 >100.

38. The method of claim 20 , wherein the source resonator and the second resonator have different characteristic sizes.