Optical spectroscopy using the fourier transform

A method for optical Fourier transform spectroscopy, the method comprising:

• receiving a broadband signal;
• spectrally partitioning the broadband signal to generate a plurality of spectral channel interferograms;
• computing a one-dimensional Fourier transform of a function of each of the plurality of spectral channel interferograms to generate each of a plurality of channel spectrums;
• and
• reconstructing a spectrum of the broadband signal based on the plurality of channel spectrums.

A device for Fourier transform based optical spectroscopy, comprising:

• a plurality of filters configured to generate a plurality of spectral channel interferograms, wherein each of the plurality of filters is configured to filter a distinct spectral portion of an input broadband signal and generate one of the plurality of spectral channel interferograms;
• a plurality of Fourier transform spectrometers configured to generate a plurality of channel spectrums, wherein each of plurality of Fourier transform spectrometers is associated with a corresponding one of each of the plurality of filters, and wherein each of the plurality of Fourier transform spectrometers is configured to compute a Fourier transform of a function of each of the plurality of spectral channel interferograms and generate each of the plurality of channel spectrums;
• and
• a circuit for signaling processing configured to:
• reconstruct a spectrum of the input broadband signal based on the plurality of channel spectrums.

A device for optical spectroscopy using a Fourier transform, comprising:

• a plurality of Mach-Zehnder Interferometers (MZIs), each MZI comprising:
• an input waveguide positioned to receive light from a broadband light source;
• two interferometer arms that split from the input waveguide, each of the two interferometer arms comprising a spiral and covered by a metal microheater;
• and
• an output waveguide into which the two interferometer arms recombine,
• wherein the light from the broadband light source is dispersed into a plurality of spectral channels upon passing through the plurality of MZIs,
• wherein a one-dimensional Fourier transform of each of the plurality of spectral channels is computed to produce each of a plurality of channel spectrums,
• wherein a broadband spectrum corresponding to the light from the broadband light source is reconstructed based on the plurality of channel spectrums.