Miniaturized and integrated photonic spectrometers

1. A device for analyzing spectral composition of an input light signal, comprising:

a substrate;

an input waveguide formed on the substrate and structured to receive the input light signal;

a waveguide splitter coupled to the input waveguide and structured to split the received input light signal into a first light signal and a second light signal;

a first optical waveguide connected to the waveguide splitter to receive the first light signal and to transform the first light signal into a first output light signal;

a second waveguide connected to the waveguide splitter to receive the second light signal and to transform the second light signal into a second output light signal;

an output port connected to the first optical path and the second optical path and structured to combine the first light signal and the second light signal to cause optical interference that generates interferogram;

an index-tuning circuit coupled to the first or second optical waveguide to cause a change in an refractive index in the first or second optical waveguide to cause and tune an optical phase shift between the first and second light signals at the output port, the change in the refractive index causing at least one of a non-linear component or a dispersive component in a phase response of the first or second optical waveguide; and

a circuit coupled to process the generated interferogram by using a Fourier transform based on the change in the refractive index to analyze spectral composition of the input light signal as a function of a wavelength or a frequency of the input light signal, wherein the circuit is further configured to correct the at least one of the non-linear component or the dispersive component.

2. The device of claim 1 , wherein the index-tuning circuit is operable to change the refractive index based on a thermo-optic effect.

3. The device of claim 1 , wherein the index-tuning circuit is operable to change the refractive index based on a free carrier dispersion effect.

4. The device of claim 1 , wherein the index-tuning circuit is coupled to change an index-changing region under the first or second optical waveguide.

5. A device for analyzing spectral composition of an input light signal, comprising:

an input end structured to receive the input light signal;

a first waveguide connected to the input end to receive the input light signal and structured to direct the received input light signal along the first waveguide;

a resonator optically coupled to the first waveguide to carry at least a portion of the received input light signal and structured to function as a filter with a reflective index that is tunable;

a second waveguide optically coupled to the resonator to receive filtered light from the resonator and structured to provide an output signal; and

an index-tuning circuit coupled to the resonator to cause a change in the refractive index of the resonator to direct different spectral components in the input light signal to be filtered through the resonator in the output signal, and wherein the first optical waveguide includes a tunable distributed Bragg reflector to filter light that is coupled into the optical resonator.

6. The device of claim 5 , wherein the resonator includes a ring resonator between the first waveguide and the second waveguide.

7. The device of claim 5 , wherein the index-tuning circuit is operable to change the refractive index based on a thermo-optic effect.

8. The device of claim 5 , wherein the index-tuning circuit is operable to change the refractive index based on a free carrier dispersion effect.

9. A device for analyzing spectral composition of an input light signal, comprising:

an input end structured to receive the input light signal;

a first waveguide connected to the input end to receive the input light signal and structured to direct the received input light signal along the first waveguide;

a resonator optically coupled to the first waveguide to carry at least a portion of the received input light signal and structured to function as a filter with a reflective index that is tunable;

a second waveguide optically coupled to the resonator to receive filtered light from the resonator and structured to provide an output signal; and

an index-tuning circuit coupled to the resonator to cause a change in the refractive index of the resonator to direct different spectral components in the input light signal to be filtered through the resonator in the output signal, and wherein the first waveguide includes a broadband distributed Bragg reflector designed to have a bandwidth equal to a free spectral range of the resonator.

10. The device of claim 9 , wherein the resonator includes a ring resonator between the first waveguide and the second waveguide.

11. The device of claim 9 , wherein the index-tuning circuit is operable to change the refractive index based on a thermo-optic effect.

12. The device of claim 9 , wherein the index-tuning circuit is operable to change the refractive index based on a free carrier dispersion effect.

13. A free-space non-scanning Fourier transform spectrometer device, comprising:

a light source structured to provide an input light signal;

a dispersion module arranged to receive the input light signal from the light source and structured to disperse the received light into spectral components along a first axis;

an interference module arranged to generate a spatial interference pattern spanning a second axis orthogonal to the first axis;

a detector arranged to receive signals from the dispersion module and the interference module in the first axis and the second axis, respectively.

14. The device of claim 13 , wherein the dispersion module includes an optical lens with a focal length to adjust a fraction of the dispersed signal spectrum spanning the detector.

15. The device of claim 13 , further comprising a two slit spatial filter placed between the light source and the interference module and structured to limit a portion of the input light signal to enter the interference module.