Cavity dynamics compensation in resonant optical modulators
Disclosed are resonant optical modulators, and methods of use thereof, that achieve constant photon populations in the resonator by simultaneously modulating at least two variable modulation parameters.
1. A resonant optical modulator, comprising:
an optical resonator;
a first port optically coupled to the optical resonator with a first time-variable coupling rate;
a second port optically coupled to the optical resonator with a second time-variable coupling rate; and
a driver for simultaneously modulating the first and second time-variable coupling rates such that a photon population in the optical resonator is substantially constant.
2. The resonant optical modulator of claim 1 , wherein a photon lifetime in the optical resonator is substantially constant.
3. The resonant optical modulator of claim 1 , wherein each of the first and second ports is an output port.
4. The resonant optical modulator of claim 3 , wherein a sum of the first and second time-variable coupling rates is substantially constant.
5. The resonant optical modulator of claim 3 , further comprising first and second Mach-Zehnder interferometers coupling the optical resonator to the first and second output ports.
6. The resonant optical modulator of claim 3 , further comprising a three-waveguide interferometer coupling the optical resonator to the first and second output ports.
7. The resonant optical modulator of claim 3 , further comprising a third port optically coupled to the optical resonator with a third coupling rate, the third port being an input port for receiving an optical input signal.
8. The resonant optical modulator of claim 7 , wherein the third coupling rate is substantially constant.
9. The resonant optical modulator of claim 1 , wherein the optical resonator comprises an active lasing cavity.
10. The resonant optical modulator of claim 1 , wherein the first port is an input port and the second port is an output port.
11. The resonant optical modulator of claim 1 , wherein the optical resonator comprises at least one of a ring resonator or a standing-wave cavity resonator.
12. The resonant optical modulator of claim 1 , further comprising a nanomechanical actuator for modulating at least one of the first and second coupling rates by modulating a distance between the respective port and the optical resonator.
13. In a resonant optical modulator comprising an optical resonator coupled to first and second ports with first and second coupling rates, respectively, a method for modulating an optical signal, the method comprising:
modulating the first coupling rate so as to modulate an output signal coupled out to the first port; and
simultaneously modulating the second coupling rate such that a photon population in the optical resonator remains substantially constant.
14. The method of claim 13 , wherein the second port is an output port.
15. The method of claim 13 , wherein the second port is an input port.
16. The method of claim 13 , wherein modulating the first coupling rate comprises modulating a phase difference in a Mach-Zehnder interferometer coupling the optical resonator to the first port.
17. The method of claim 13 , wherein modulating the first coupling rate comprises modulating a distance between the first port and the optical resonator.
18. A resonant optical modulator, comprising:
an optical resonator having a time-variable loss rate;
a port optically coupled to the optical resonator with a time-variable coupling rate; and
a driver for simultaneously modulating the time-variable loss rate and the time-variable coupling rate such that a photon population in the optical resonator is substantially constant.
19. The resonant optical modulator of claim 18 , further comprising a Mach-Zehnder interferometer coupling the optical resonator to the port.
20. The resonant optical modulator of claim 18 , wherein the port is an output port.
21. The resonant optical modulator of claim 20 , wherein a sum of the time-variable coupling and loss rates is substantially constant.
22. The resonant optical modulator of claim 20 , further comprising a second port optically coupled to the optical resonator with a second coupling rate, the second port being an input port for receiving an optical input signal.
23. The resonant optical modulator of claim 22 , wherein the second coupling rate is substantially constant.
24. The resonant optical modulator of claim 18 , wherein the optical resonator comprises an active lasing cavity.
25. The resonant optical modulator of claim 18 , wherein the port is an input port.
26. The resonant optical modulator of claim 18 , wherein the optical resonator comprises at least one of a ring resonator or a standing-wave cavity resonator.
27. The resonant optical modulator of claim 18 , further comprising a nanomechanical actuator for modulating the coupling rate by modulating a distance between the port and the optical resonator.
28. In a resonant optical modulator comprising an optical resonator having a time-variable loss rate and coupled to a port with a time-variable coupling rate, a method for modulating an optical signal, the method comprising:
modulating the coupling rate so as to modulate an output signal; and
simultaneously modulating the loss rate such that a photon population in the optical resonator remains substantially constant.
29. In a resonant optical modulator comprising an optical resonator coupled to a plurality of ports, at least two of a loss rate of the optical resonator and coupling rates between the resonator and the ports being time-variable, a method for modulating an optical signal, the method comprising:
simultaneously modulating at least two of the rates so as to modulate an output signal while keeping a photon population in the optical resonator substantially constant.