Low-noise RF oscillation and optical comb generation based on nonlinear optical resonator

1. A method for generating an RF or microwave oscillation, comprising:

coupling a laser beam from a laser into a whispering-gallery-mode resonator formed of a nonlinear optical material with a third order nonlinearity at a power level above a pump threshold power level to cause an optical hyperparametric oscillation based on a nonlinear mixing in the resonator;

coupling light out of the resonator into a photodetector to produce an RF or microwave signal at an RF or microwave frequency with low noise; and

locking the laser to the resonator to stabilize the RF or microwave signal output by the photodetector,

wherein:

the laser is locked to the resonator via injection locking by directing a portion of the light coupled out of the resonator back into the laser.

2. The method as in claim 1 , comprising:

directly coupling the laser to the resonator to couple the laser beam into the resonator; and

directly coupling the photodetector to the resonator to receive the light coupled out of the resonator.

3. A method for generating an RF or microwave oscillation, comprising:

coupling a laser beam from a laser into a whispering-gallery-mode resonator formed of a nonlinear optical material with a third order nonlinearity at a power level above a pump threshold power level to cause an optical hyperparametric oscillation based on a nonlinear mixing in the resonator;

coupling light out of the resonator into a photodetector to produce an RF or microwave signal at an RF or microwave frequency with low noise;

locking the laser to the resonator to stabilize the RF or microwave signal output by the photodetector; and

coupling light generated by Rayleigh scattering inside the resonator out of the resonator as a feedback beam into the laser to lock the laser by injection locking.

4. A method for generating an RF or microwave oscillation, comprising:

coupling a laser beam from a laser into a whispering-gallery-mode resonator formed of a nonlinear optical material with a third order nonlinearity at a power level above a pump threshold power level to cause an optical hyperparametric oscillation based on a nonlinear mixing in the resonator;

coupling light out of the resonator into a photodetector to produce an RF or microwave signal at an RF or microwave frequency with low noise;

locking the laser to the resonator to stabilize the RF or microwave signal output by the photodetector; and

reflecting at least a portion of the light coupled out of the resonator back to the resonator;

coupling the reflected portion into the resonator in a whispering gallery mode that propagates in a direction opposite to a propagation direction of light that is coupled into the resonator from the laser beam; and

coupling light of the reflected portion coupled into the resonator out of the resonator as a feedback beam along an optical path of the laser beam from the laser in an opposite direction of the laser beam to inject the light into the laser for locking the laser.

5. The method as in claim 4 , comprising:

controlling a phase of the feedback beam to establish a phase matching for locking the laser to the resonator.

6. The method as in claim 1 , comprising:

tuning a frequency of the laser beam generated by the laser to tune the frequency of the RF or microwave signal out of the photodetector.

7. The method as in claim 1 , comprising:

using the light coupled out of the resonator to generate an optical comb of different optical frequencies.

8. A device for generating an RF or microwave oscillation, comprising:

a whispering-gallery-mode resonator formed of a nonlinear optical material exhibiting a third order nonlinearity;

a laser to produce a laser beam that interacts with the nonlinear optical material to cause an optical hyperparametric oscillation due to a nonlinear mixing in the resonator;

a first optical coupler that directly couples to the laser at one end of the first optical coupler to receive the laser beam and directly couples to the resonator to couple the laser beam into the resonator;

a second optical coupler that directly couples to the resonator to output light out of the resonator;

a photodetector directly coupled to the second optical coupler to receive the output light and to produce an optical hyperparametric oscillation signal at an RF or microwave frequency with low noise; and

a laser locking mechanism that locks the laser to the resonator,

wherein:

the laser locking mechanism is based on injection locking by injecting light coupled out of the resonator into the laser.

9. A device, comprising:

an optical resonator formed of a nonlinear optical material exhibiting a third order nonlinearity and structured to circulate light in one or more resonator modes;

a laser to produce a laser beam that interacts with the nonlinear optical material to cause an optical hyperparametric oscillation due to a nonlinear mixing in the resonator;

an optical coupler that couples to the resonator to couple the laser beam from the laser along a first optical path into the resonator and couples light inside the resonator out as a resonator output beam along a second optical path;

an optical reflector in the second optical path to reflect at least a portion of the resonator output beam back to the optical coupler which couples the reflected portion into the resonator in a way that the optical coupler couples light of the reflected portion inside the resonator out as a feedback beam to the laser; and

a mechanism to control a phase of the feedback beam to establish a phase matching for locking the laser to the resonator based on injection locking.

10. The device as in claim 9 , comprising:

a phase rotator in at least one of the first optical path between the laser and the resonator and the second optical path between the laser and the reflector to control a phase of the feedback beam for establishing the phase matching.

11. The device as in claim 9 , wherein:

the reflector is movable in position along the second optical path.

12. The device as in claim 9 , wherein:

the resonator is a ring resonator.

13. The device as in claim 9 , wherein:

the resonator is a whispering gallery mode resonator.

14. The method as in claim 3 , comprising:

directly coupling the laser to the resonator to couple the laser beam into the resonator; and

directly coupling the photodetector to the resonator to receive the light coupled out of the resonator.

15. The method as in claim 4 , comprising:

directly coupling the laser to the resonator to couple the laser beam into the resonator; and

directly coupling the photodetector to the resonator to receive the light coupled out of the resonator.

16. The method as in claim 3 , comprising:

tuning a frequency of the laser beam generated by the laser to tune the frequency of the RF or microwave signal out of the photodetector.

17. The method as in claim 3 , comprising:

using the light coupled out of the resonator to generate an optical comb of different optical frequencies.

18. The method as in claim 4 , comprising:

tuning a frequency of the laser beam generated by the laser to tune the frequency of the RF or microwave signal out of the photodetector.

19. The method as in claim 4 , comprising:

using the light coupled out of the resonator to generate an optical comb of different optical frequencies.