Analyzing light by mode interference

1. An apparatus for analyzing light by mode interference, comprising:

a number of waveguides to support in a multimode region two modes of the light of a particular polarization; and

a plurality of scattering objects offset from a center of at least one of the number of waveguides,

wherein the plurality of scattering objects is positioned at a spatial frequency associated with apices of a selected one of:

an intensity of a first mode,

an intensity of a second mode, and

an intensity of an interference pattern of the first and second modes, and

wherein at least one non-associated apex is between two associated apices such that the apices associated with the plurality of scattering objects are aliased to a lower spatial frequency.

2. The apparatus of claim 1 , comprising a single-mode input waveguide to collect a single mode of the light emitted from a single source and input the single mode of light into the number of waveguides that separate the single mode in the multimode region into the two modes of the light.

3. The apparatus of claim 1 , wherein the number of waveguides comprises one multimode waveguide to support the two modes of the light in the multimode region.

4. The apparatus of claim 1 , wherein the number of waveguides comprises two single-mode waveguides to support the two modes of the light in the multimode region.

5. The apparatus of claim 4 , wherein a single-mode input waveguide inputs the light into one of the two single-mode waveguides.

6. The apparatus of claim 4 , wherein a single-mode input waveguide inputs the light into both of the two single-mode waveguides.

7. The apparatus of claim 1 , comprising a charge coupled device with a spatial frequency of sensors co-aligned with the plurality of scattering objects positioned as such to collect signals emitted by the plurality of scattering objects.

8. An apparatus for analyzing light by mode interference, comprising:

a number of waveguides to support two modes of the light that have a particular polarization; and

a plurality of scattering objects offset from and substantially parallel to a center axis of each of the number of waveguides,

wherein the plurality of scattering objects is positioned at a spatial frequency associated with apices of a selected one of:

an intensity of a first mode,

an intensity of a second mode, and

an intensity of an interference pattern of the first and second modes,

wherein at least one non-associated apex is between two associated apices such that the apices associated with the plurality of scattering objects are aliased to a lower spatial frequency, and

wherein there is at least one scattering object between scattering objects associated with the two apices.

9. The apparatus of claim 8 , comprising non-transitory computer readable instructions executed by a processor to determine a spectrum of the light with Fourier analysis by analysis of the interference pattern determined from the signals emitted by the plurality of scattering objects.

10. The apparatus of claim 8 , comprising two modes of two waveguides horizontally displaced that are evanescently coupled to a plurality of scattering objects positioned therebetween.

11. The apparatus of claim 8 , comprising two waveguides vertically displaced that are resonantly coupled and the plurality of scattering objects offset substantially vertically from a center of one waveguide, further comprising the signals emitted by the plurality of scattering objects directed substantially away from the other waveguide.

12. The apparatus of claim 11 , comprising the signals emitted by each of the plurality of scattering objects directed toward individual p-i-n detectors.

13. A system for analyzing light by mode interference, comprising:

a plurality of scattering objects offset from and substantially parallel to a center axis of each of a number of waveguides; and

wherein the number of waveguides is formed to support two modes of the light,

wherein the plurality of scattering objects is positioned at a spatial frequency associated with apices of a selected one of:

an intensity of a first mode,

an intensity of a second mode, and

an intensity of an interference pattern of the first and second modes, and

wherein at least one non-associated apex is between two associated apices such that the apices associated with the plurality of scattering objects are aliased to a lower spatial frequency; and

a charge coupled device with a spatial frequency of sensors co-aligned with the plurality of scattering objects positioned as such to directly collect signals emitted by the plurality of scattering objects.

14. The system of claim 13 , comprising a plurality of substantially parallel waveguides that form a two dimensional array.

15. The system of claim 13 , comprising a coarse frequency sorting element for separation of input light into a plurality of different output ranges of optical frequencies.