Laser reference frequency source stabilized by optical self-injection locking
A first pump laser source produces a first pump optical signal at a first pump optical frequency v 1P and launches it into a ring optical resonator to propagate in a forward direction around the ring optical resonator. A backscattered portion of the first pump optical signal propagates back to the first pump laser source and injection-locks it so that the first pump optical frequency v 1P is locked to a first resonant mode optical frequency of the ring optical resonator. A second laser source producing a second pump optical signal at a second optical frequency v 2P and can be similarly self-injection-locked to a second resonant mode optical frequency of the ring optical resonator different from the first resonant mode optical frequency.
1 . An apparatus comprising:
(a) a ring optical resonator;
(b) a first pump laser source arranged so as to (i) produce a first pump optical signal at a first pump optical frequency v 1P , and (ii) launch at least a portion of the first pump optical signal into the ring optical resonator to propagate in a forward direction around the ring optical resonator, the ring optical resonator and the first pump laser source being arranged so that a portion of the first pump optical signal backscattered by the ring optical resonator propagates back to the first pump laser source and injection-locks the first pump laser source so that the first pump optical frequency v 1P is locked to a first resonant mode optical frequency of the ring optical resonator;
(c) a second pump laser source arranged so as to (i) produce a second pump optical signal at a second pump optical frequency v 2P , and (ii) launch at least a portion of the second pump optical signal into the ring optical resonator to propagate in a forward direction around the ring optical resonator, the ring optical resonator and the second pump laser source being arranged so that a portion of the second pump optical signal backscattered by the ring optical resonator propagates back to the second pump laser source and injection-locks the second pump laser source so that the second pump optical frequency v 2P is locked to a second resonant mode optical frequency of the ring optical resonator different from the first resonant mode optical frequency; and
(d) an optical detector arranged so as (i) to receive at least a portion of the first pump optical signal and at least a portion of the second pump optical signal, and (ii) to generate therefrom an electrical output signal at a difference frequency v DIFF =|v 2P −v 1P | that is less than 200 GHz.
2 . The apparatus of claim 1 wherein the difference frequency v DIFF =|v 2 −v 1 | is greater than 0.3 GHz.
3 . The apparatus of claim 1 wherein (i) the difference frequency v DIFF =|v 2 −v 1 | exhibits fluctuations over a 0.1 second timescale only within a bandwidth less than 100 Hz, or (ii) the output electrical signal exhibits phase noise less than −80 dBc/Hz at 10 kHz offset frequency.
4 . The apparatus of claim 1 wherein (i) the difference frequency v DIFF =|v 2 −v 1 | exhibits fluctuations over a 0.1 second timescale only within a bandwidth less than 1 Hz, or (ii) the output electrical signal exhibits phase noise less than −100 dBc/Hz at 10 KHz offset frequency.
5 . The apparatus of claim 1 wherein one or both of the first or second pump lasers sources are semiconductor diode lasers.
6 . The apparatus of claim 1 wherein one or both of the first or second pump optical frequencies v 1P and v 2P are greater than 75 THz or less than 750 THz.
7 . The apparatus of claim 1 wherein the ring optical resonator comprises a ring waveguide optical resonator on a substrate.
8 . The apparatus of claim 1 wherein the ring optical resonator comprises a disk optical resonator.
9 . The apparatus of claim 1 wherein the ring optical resonator comprises a fiber-loop optical resonator.
10 . The apparatus of claim 1 wherein the optical resonator exhibits a Q-factor greater than 10 6 .
11 . An apparatus comprising:
(a) a ring optical resonator;
(b) a first pump laser source arranged so as to (i) produce a first pump optical signal at a first pump optical frequency v 1P , and (ii) launch at least a portion of the first pump optical signal into the ring optical resonator to propagate in a forward direction around the ring optical resonator, the ring optical resonator and the first pump laser source being arranged so that a portion of the first pump optical signal backscattered by the ring optical resonator propagates back to the first pump laser source and injection-locks the first pump laser source so that the first pump optical frequency v 1P is locked to a first resonant mode optical frequency of the ring optical resonator;
(c) a second pump laser source arranged so as to (i) produce a second pump optical signal at a second pump optical frequency v 2P , and (ii) launch at least a portion of the second pump optical signal into the ring optical resonator to propagate in a forward direction around the ring optical resonator, the ring optical resonator and the second pump laser source being arranged so that a portion of the second pump optical signal backscattered by the ring optical resonator propagates back to the second pump laser source and injection-locks the second pump laser source so that the second pump optical frequency v 2P is locked to a second resonant mode optical frequency of the ring optical resonator different from the first resonant mode optical frequency; and
(d) an optical frequency divider arranged so as (i) to receive at least a portion of the first pump optical signal and at least a portion of the second pump optical signal, and (ii) to generate therefrom an electrical output signal at a divided frequency about equal to |v 2P −v 1P |/N, with N being an integer and |v 2P −v 1P | being greater than 100 GHz.
12 . The apparatus of claim 11 wherein the divided frequency is greater than 0.3 GHz.
13 . The apparatus of claim 11 wherein (i) the difference frequency v DIFF =|v 2 −v 1 | exhibits fluctuations over a 0.1 second timescale only within a bandwidth less than 100 Hz, or (ii) the output electrical signal exhibits phase noise less than −80-20·logN dBc/Hz at 10 KHz offset frequency.
14 . The apparatus of claim 11 wherein (i) the difference frequency v DIFF =|v 2 −v 1 | exhibits fluctuations over a 0.1 second timescale only within a bandwidth less than 1 Hz, or (ii) the output electrical signal exhibits phase noise less than −100-20·logN dBc/Hz at 10 KHz offset frequency.
15 . The apparatus of claim 11 wherein one or both of the first or second pump lasers sources are semiconductor diode lasers.
16 . The apparatus of claim 11 wherein one or both of the first or second pump optical frequencies v 1P and v 2P are greater than 75 THz or less than 750 THz.
17 . The apparatus of claim 11 wherein the ring optical resonator comprises a ring waveguide optical resonator on a substrate.
18 . The apparatus of claim 11 wherein the ring optical resonator comprises a disk optical resonator.
19 . The apparatus of claim 11 wherein the ring optical resonator comprises a fiber-loop optical resonator.
20 . The apparatus of claim 11 wherein the optical resonator exhibits a Q-factor greater than 10 6 .
21 . An apparatus comprising:
(a) a ring optical resonator;
(b) a first pump laser source arranged so as to (i) produce a first pump optical signal at a first pump optical frequency v 1P , and (ii) launch at least a portion of the first pump optical signal into the ring optical resonator to propagate in a forward direction around the ring optical resonator, the ring optical resonator and the first pump laser source being arranged so that a portion of the first pump optical signal backscattered by the ring optical resonator propagates back to the first pump laser source and injection-locks the first pump laser source so that the first pump optical frequency v 1P is locked to a first resonant mode optical frequency of the ring optical resonator; and
(c) a second pump laser source arranged so as to (i) produce a second pump optical signal at a second pump optical frequency v 2P , and (ii) launch at least a portion of the second pump optical signal into the ring optical resonator to propagate in a forward direction around the ring optical resonator, the ring optical resonator and the second pump laser source being arranged so that a portion of the second pump optical signal backscattered by the ring optical resonator propagates back to the second pump laser source and injection-locks the second pump laser source so that the second pump optical frequency v 2P is locked to a second resonant mode optical frequency of the ring optical resonator different from the first resonant mode optical frequency,
(d) wherein one or both of the first or second pump optical frequencies v 1P and v 2P are greater than 75 THz or less than 750 THz.
22 . The apparatus of claim 21 wherein one or both of the first or second pump lasers sources are semiconductor diode lasers.
23 . The apparatus of claim 21 wherein the ring optical resonator comprises a ring waveguide optical resonator on a substrate.
24 . The apparatus of claim 21 wherein the ring optical resonator comprises a disk optical resonator.
25 . The apparatus of claim 21 wherein the ring optical resonator comprises a fiber-loop optical resonator.
26 . The apparatus of claim 21 wherein the optical resonator exhibits a Q-factor greater than 10 6 .