Method and apparatus for generation of coherent frequency combs
Embodiments of the invention provide apparatuses and methods for generating frequency combs. A non-linear optical medium may generate new optical waves centered at frequencies differing from the input waves, while retaining the input wave properties. In the case when a parametric mixer is used to generate frequency combs with small frequency pitch, the phase correlation of the input (seed) waves can be achieved by an electro-optical modulator and a single master laser. In the case when a frequency comb possessing a frequency pitch that is larger than frequency modulation that can be affected by an electro-optic modulator, the phase correlation of the input (seed) waves is achieved by combined use of an electro-optical modulator and injection locking to a single or multiple slave lasers.
1. An apparatus for generating a frequency comb, the apparatus comprising:
an optical source that generates a laser output including one or more first optical waves each having a spectral linewidth, wherein the optical source comprises:
a light source operable to provide a third optical wave having a first center frequency and the spectral linewidth;
a modulator optically coupled to the light source, wherein the modulator is configured to receive the third optical wave and output:
a fourth optical wave having the first center frequency;
a fifth optical wave having a second center frequency that is greater than the first center frequency and separated from the first center frequency by a frequency spacing, and
a sixth optical wave having a third center frequency that is less than the first center frequency and separated from the first center frequency by the frequency spacing;
an optical splitter optically coupled to the modulator, wherein the optical splitter is configured to spatially separate the fourth optical wave, the fifth optical wave, and the sixth optical wave;
a delay element optically coupled to the optical splitter, wherein the delay element is configured to introduce a physical delay to the fourth optical wave; and
an optical combiner optically coupled to the optical splitter and the delay element, wherein the optical combiner is configured to recombine the fourth optical wave, the fifth optical wave, and the sixth optical wave to generate the laser output; and
a nonlinear optical medium optically coupled to the optical source and receiving the laser output, wherein the nonlinear optical medium generates a frequency comb corresponding to a plurality of second optical waves, the plurality of second optical waves each having the spectral linewidth, wherein each of the plurality of second optical waves are frequency separated from adjacent second optical waves by a frequency spacing, and wherein the plurality of second optical waves includes:
a seventh optical wave having the first center frequency,
an eighth optical wave having the second center frequency,
a ninth optical wave having the third center frequency, and
a tenth optical wave having a fourth center frequency, wherein the fourth center frequency is separated from the second center frequency or the third center frequency by the frequency spacing.
2. The apparatus of claim 1 , wherein the one or more first optical waves includes a first plurality of optical waves each having the spectral linewidth.
3. The apparatus of claim 1 , wherein the one or more first optical waves includes a first plurality of optical waves that are phase-correlated with respect to each other.
4. The apparatus of claim 1 , wherein the one or more first optical waves includes a first plurality of optical waves each having the spectral linewidth, and wherein the optical source comprises a modulator operable to receive an incident optical wave and output the first plurality of optical waves.
5. The apparatus of claim 1 , wherein the optical source comprises a slave laser source operable to receive an incident optical wave for injection locking and generation of the laser output including the one or more first optical waves.
6. The apparatus of claim 1 , wherein the optical source comprises:
an optical splitter operable to separate an incident optical wave into a set of optical waves;
a delay element optically coupled to the optical splitter, wherein the delay element is configured to introduce a physical delay to at least one optical wave of the set of optical waves; and
an optical combiner optically coupled to the optical splitter and the delay element, wherein the optical combiner is configured to recombine the set of optical waves to generate the laser output including the one or more first optical waves.
7. The apparatus of claim 1 , wherein the fourth center frequency is greater than the second center frequency.
8. The apparatus of claim 1 , wherein the fourth center frequency is less than the third center frequency.
9. The apparatus of claim 1 , wherein the delay element is configured to introduce a physical delay to either the fifth or sixth optical wave.
10. The apparatus of claim 1 , wherein two delay elements are configured to introduced physical delays to two of the fourth optical wave, the fifth optical wave, and the sixth optical wave.
11. The apparatus of claim 1 , wherein the delay element is configured to establish a phase correlation between the fourth optical wave, the fifth optical wave, and the sixth optical wave prior to receipt of the laser output by the nonlinear optical medium.
12. The apparatus of claim 1 , further comprising one or more amplifiers optically coupled to the optical combiner.
13. The apparatus of claim 1 , further comprising one or more optical filters optically coupled to the optical combiner.
14. A method of generating a frequency comb, the method comprising:
providing an optical source for generating a laser output including one or more first optical waves each having a spectral linewidth, wherein the optical source comprises:
a light source operable to provide a third optical wave having a first center frequency and the spectral linewidth;
a modulator optically coupled to the light source, wherein the modulator is configured to receive the third optical wave and output:
a fourth optical wave having the first center frequency;
a fifth optical wave having a second center frequency that is greater than the first center frequency and separated from the first center frequency by a frequency spacing, and
a sixth optical wave having a third center frequency that is less than the first center frequency and separated from the first center frequency by the frequency spacing;
an optical splitter optically coupled to the modulator, wherein the optical splitter is configured to spatially separate the fourth optical wave, the fifth optical wave, and the sixth optical wave;
a delay element optically coupled to the optical splitter, wherein the delay element is configured to introduce a physical delay to the fourth optical wave; and
an optical combiner optically coupled to the optical splitter and the delay element, wherein the optical combiner is configured to recombine the fourth optical wave, the fifth optical wave, and the sixth optical wave to generate the laser output;
providing a nonlinear optical medium optically coupled to the optical source, the nonlinear optical medium for generating a frequency comb corresponding to a plurality of second optical waves, the plurality of second optical waves each having the spectral linewidth, and wherein each of the plurality of second optical waves are frequency separated from adjacent second optical waves by a frequency spacing;
generating the laser output including the one or more first optical waves having the spectral linewidth using the optical source;
coupling the one or more first optical waves into the nonlinear optical medium; and
transforming the one or more first optical waves via the nonlinear optical medium into the plurality of second optical waves each having the spectral linewidth and frequency separated from adjacent second optical waves by the frequency spacing, wherein the plurality of second optical waves includes:
a seventh optical wave having the first center frequency,
an eighth optical wave having the second center frequency,
a ninth optical wave having the third center frequency, and
a tenth optical wave having a fourth center frequency, wherein the fourth center frequency is separated from the second center frequency or the third center frequency by the frequency spacing.
15. The method of claim 14 , wherein the laser output includes a plurality of first optical waves each having the spectral linewidth.
16. The method of claim 14 , wherein the one or more first optical waves includes a plurality of first optical waves that are phase-correlated with respect to each other.
17. The method of claim 14 , further comprising:
after generating the laser output and before coupling the laser output into the nonlinear optical medium, separating the one or more first optical waves of the laser output into a set of split optical waves using an optical splitter;
introducing a physical delay to at least one optical wave of the set of split optical waves using a delay element; and
recombining the set of split optical waves using an optical combiner.
18. The method of claim 14 , further comprising filtering at least a portion of the laser output prior to coupling the laser output into the nonlinear optical medium.
19. The method of claim 14 , further comprising amplifying at least a portion of the laser output prior to coupling the laser output into the nonlinear optical medium.