Methods and systems for pulsed beam phase locking
A pump source configured to generate a pulsed optical beam. The pump source generates a first light beam, a second light beam, and a third light beam, where the first, the second, and the third light beams satisfy a phase relationship. Each of the first, the second, and the third light beams are independently modulated in separate modulation paths and recombined as a pulsed optical beam. A portion of the pulsed optical beam is parametrically amplified within a nonlinear optical medium, where a resulting amplification gain is proportional to a phase difference between the first, second, and third modulated light beams. The power value of the amplified beam is measured as an indication of the phrase difference between the three beams and a corrective phase adjustment based on the error correction signal is applied on any one of the first, second, and third modulation paths to maintain the phase relationship.
1. A pump source for generating pulsed optical beam, the pump source comprising:
a generation module configured to provide a first light beam, a second light beam, and a third light beam, where the first light beam, the second light beam, and the third light beam satisfy a phase relationship, wherein the phase relationship is a relative phase difference between the first light beam, the second light beam, and the third light beam;
a modulation module, wherein each of the first light beam, the second light beam, and the third light beam are independently modulated in a first modulation path, a second modulation path, and a third modulation path, respectively, the modulated first, second, and third light beams are combined into a pulsed optical beam;
a detection module configured to:
parametrically amplify a portion of the combined pulsed optical beam, where an amplification gain is proportional to a phase difference between the first, second, and third modulated light beams;
generate an error correction signal based on a power value of the amplified beam; and
perform a phase adjustment based on the error correction signal on one of the first, second, and third modulation paths to maintain the phase relationship.
2. The pump source of claim 1 , wherein the detection module further includes a nonlinear optical medium characterized by a non-linear optical susceptibility, wherein the portion of the pulsed beam is parametrically amplified within the optical medium.
3. The pump source of claim 1 , wherein the first light beam, the second light beam, and the third light beam overlap in one or more of polarization and temporal domain.
4. The pump source of claim 1 , further comprising a phase modulator on the one of the first, second, and third modulation paths, wherein the phase modulation is driven by the error correction signal to apply the phase adjustment.
5. The pump source of claim 1 further comprises a demodulator to generate the error correction signal based on the amplified beam.
6. The pump source of claim 5 , wherein the demodulator generates the error correction signal using one or more of dither and lock-in amplification techniques.
7. The pump source of claim 1 , wherein the relative phase difference is expressed as Δφ=φ 1 +φ 2 −2φ LO , where φ 1 is an angular frequency of the first light beam, φ LO is an angular frequency of the second light beam, and φ 2 is an angular frequency of the third light beam.
8. The pump source of claim 1 , wherein the portion of the pulsed optical beam is 10% of a total power of the pulsed optical beam.
9. The pump source of claim 1 , wherein the generation module further comprises:
a first pump to generate the first light beam;
a second pump to generate the second light beam; and
a non-linear optical medium characterized by a non-linear optical susceptibility, wherein the first light beam and the second light beam undergo a parametric process to generate the third light beam.
10. The pump source of claim 1 , wherein the generation module further comprises:
a first pump configured to generate the first beam;
a second pump configured to generate the second beam;
a third pump configured to generate the third beam; and
a frequency comb configured to generate at least a first frequency, a second frequency and a third frequency, where the first, second, and third frequencies satisfy the phase relationship;
wherein the first beam, the second beam, and the third beam are phase locked onto the first frequency, the second frequency, and the third frequency, respectively.
11. A method of generating a pulsed optical beam, the method comprising:
generating a first light beam, a second light beam, and a third light beam, where the first light beam, the second light beam, and the third light beam satisfy a phase relationship, wherein the phase relationship is a relative phase difference between the first light beam, the second light beam, and the third light beam;
modulating each of the first light beam, the second light beam, and the third light beam independently in a first modulation path, a second modulation path, and a third modulation path, respectively, the modulated first, second, and third light beams are combined into a pulsed optical beam;
parametrically amplifying a portion of the pulsed optical beam, wherein an amplification gain is proportional to a phase difference between the first, second, and third modulated light beams;
generating an error correction signal from a power value of the amplified beam; and
performing a phase adjustment on one of the first, second, and third modulation paths based on the error correction signal to maintain the phase relationship.
12. The method of claim 11 , wherein the parametric amplifying includes amplifying the portion of the pulsed optical beam through stimulated four-wave mixing (StFWM).
13. The method of claim 11 further includes overlapping the first light beam, the second light beam, and the third light beam in one or more of polarization and temporal domain.
14. The method of claim 11 further includes demodulating the amplified beam to generate the error correction signal.
15. The method of claim 14 wherein the demodulating further includes applying one or more of dither and lock-in techniques.
16. The method of claim 11 wherein the performing an error adjustment further includes driving a phase modulator placed on the one of the first modulation path, the second modulation path, and the third modulation path with the error correction signal to maintain the phase relationship.
17. The method of claim 11 , wherein the relative phase difference is expressed as Δφ=φ 1 +φ 2 −2φ LO , where φ 1 is an angular frequency of the first light beam, φ LO is an angular frequency of the second light beam, and φ 2 is an angular frequency of the third light beam.
18. The method of claim 11 , wherein the generating step further includes:
generating the first light beam by a first pump;
generating the second light beam by a second pump; and
generating the third light beam by an optical medium characterized by a non-linear optical susceptibility, wherein the first light beam and the second light beam undergo a parametric process within the optical medium to generate the third light beam.
19. The method of claim 11 , wherein the generating step further includes:
generating the first light beam by a first pump;
generating the second light beam by a second pump;
generating the third light beam by a third pump;
generating a first frequency, a second frequency, and a third frequency by a frequency comb, the first frequency, the second frequency, and the third frequency satisfying the phase relationship;
phase locking the first beam, the second beam, and the third beam onto the first frequency, the second frequency, and the third frequency, respectively.