Devices, systems, and methods for controlling the temperature of resonant elements

1. A thermoelectric system, comprising:

a resonant element;

a first thermoelectric device comprising first and second elongate thermoelectric elements coupled to one another and to the resonant element for transferring heat away from or toward the resonant element using the Peltier effect, a length of at least one of the thermoelectric elements being at least ten times greater than a combined average cross-sectional dimension, orthogonal to the length, of the first and second thermoelectric elements when located side-by-side along their length;

a housing that encloses the resonant element and the first thermoelectric device; and

an aerogel within the housing.

2. The thermoelectric system of claim 1 , wherein the first and second thermoelectric elements are partially spaced from one another by an insulator.

3. The thermoelectric system of claim 2 , wherein the insulator is air.

4. The thermoelectric system of claim 2 , wherein the insulator comprises a polymer.

5. The thermoelectric system of claim 2 , wherein the insulator comprises a dielectric material.

6. The thermoelectric system of claim 1 , wherein the first thermoelectric element comprises a p-type semiconductor and the second thermoelectric element comprises an n-type semiconductor.

7. The thermoelectric system of claim 6 , wherein each of the first and second thermoelectric elements comprises bismuth telluride.

8. The thermoelectric system of claim 6 , wherein each of the first and second thermoelectric elements comprises bismuth antimony telluride.

9. The thermoelectric system of claim 1 , wherein the resonant element is a crystal.

10. The thermoelectric system of claim 9 , wherein the crystal is selected from the group consisting of a quartz crystal, a sapphire crystal, and a rubidium crystal.

11. The thermoelectric system of claim 1 , wherein the resonant element is employed in a local oscillator.

12. The thermoelectric system of claim 1 , wherein the resonant element is employed in a local oscillator of a GPS receiver.

13. The thermoelectric system of claim 1 further comprising at least one additional thermoelectric device coupled to the first thermoelectric device.

14. The thermoelectric system of claim 1 further comprising a casing that hermetically seals the resonant element.

15. The thermoelectric system of claim 1 , wherein a volume of the housing is less than 0.5 cubic centimeters.

16. The thermoelectric system of claim 1 , wherein the aerogel is coated with an infrared reflective layer.

17. The thermoelectric system of claim 1 , wherein the system is at least one of a portable system, a handheld system, or a battery-powered system.

18. A thermoelectric system, comprising:

a resonant element;

a first thermoelectric device comprising first and second elongate thermoelectric elements coupled to one another and to the resonant element for transferring heat away from or toward the resonant element using the Peltier effect, a length of at least one of the thermoelectric elements being at least ten times greater than a combined average cross-sectional dimension, orthogonal to the length, of the first and second thermoelectric elements when located side-by-side along their length;

a housing that encloses the resonant element and the first thermoelectric device; and

carbon dioxide within the housing, the carbon dioxide maintained at a pressure and temperature that lie on a solid-gas phase change line of a phase diagram for the carbon dioxide.

19. The thermoelectric system of claim 18 , wherein the first and second thermoelectric elements are partially spaced from one another by an insulator.

20. The thermoelectric system of claim 19 , wherein the insulator is air.

21. The thermoelectric system of claim 19 , wherein the insulator comprises a polymer.

22. The thermoelectric system of claim 19 , wherein the insulator comprises a dielectric material.

23. The thermoelectric system of claim 18 , wherein the first thermoelectric element comprises a p-type semiconductor and the second thermoelectric element comprises an n-type semiconductor.

24. The thermoelectric system of claim 23 , wherein each of the first and second thermoelectric elements comprises bismuth telluride.

25. The thermoelectric system of claim 23 , wherein each of the first and second thermoelectric elements comprises bismuth antimony telluride.

26. The thermoelectric system of claim 18 , wherein the resonant element is a crystal.

27. The thermoelectric system of claim 26 , wherein the crystal is selected from the group consisting of a quartz crystal, a sapphire crystal, and a rubidium crystal.

28. The thermoelectric system of claim 18 , wherein the resonant element is employed in a local oscillator.

29. The thermoelectric system of claim 18 , wherein the resonant element is employed in a local oscillator of a GPS receiver.

30. The thermoelectric system of claim 18 further comprising at least one additional thermoelectric device coupled to the first thermoelectric device.

31. The thermoelectric system of claim 18 further comprising a casing that hermetically seals the resonant element.

32. The thermoelectric system of claim 18 , wherein a volume of the housing is less than 0.5 cubic centimeters.

33. The thermoelectric system of claim 18 , wherein the system is at least one of a portable system, a handheld system, or a battery-powered system.

34. A method for reducing high frequency phase noise in an output of a local oscillator, the method comprising:

transferring, using the Peltier effect, heat away from a resonant element in the local oscillator via a thermoelectric cooler, the thermoelectric cooler comprising first and second elongate thermoelectric elements coupled to one another and to the resonant element, a length of at least one of the thermoelectric elements being at least ten times greater than a combined average cross-sectional dimension, orthogonal to the length, of the first and second thermoelectric elements when located side-by-side along their length;

applying a potential difference between the first and second thermoelectric elements prior to acquiring a signal using the resonant element of the local oscillator; and

removing the potential difference between the first and second thermoelectric elements after acquiring the signal.

35. The method of claim 34 , wherein applying the potential difference between the first and second thermoelectric elements consumes, on average, less than 100 microwatts of power.

36. The method of claim 34 , wherein the acquired signal is a GPS signal.

37. The method of claim 34 , wherein the resonant element is cooled to a temperature of approximately −60° C.

38. The method of claim 34 , wherein the resonant element is a crystal.