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Techniques for hyperspectral imaging using a spatial light modulator having a plurality of pixels, including encoding electromagnetic radiation incident a first pixel at a first location and a second pixel at a second location into a first modulated signal having a first modulation frequency and a s

Techniques for hyperspectral imaging using a spatial light modulator having a plurality of pixels, including encoding electromagnetic radiation incident a first pixel at a first location and a second pixel at a second location into a first modulated signal having a first modulation frequency and a second modulated signal having a second modulation frequency, the first modulation frequency being different than the second modulation frequency. A sum of intensities of at least the first modulated signal and the second modulated signal is measured at a plurality of optical frequencies and a transform is applied to the sum to obtain an intensity of electromagnetic radiation incident each of the first location and the second location for each of the plurality of optical frequencies.

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1. A system for hyperspectral imaging, comprising: a spatial light modulator having a plurality of pixels, including a first pixel at a first location adapted to encode electromagnetic radiation incident the first location into a first modulated signal having a first modulation frequency, and at lea

1. A system for hyperspectral imaging, comprising: a spatial light modulator having a plurality of pixels, including a first pixel at a first location adapted to encode electromagnetic radiation incident the first location into a first modulated signal having a first modulation frequency, and at least a second pixel at a second location adapted to encode electromagnetic radiation incident the second location into a second modulated signal having a second modulation frequency, wherein the first modulation frequency is different from the second modulation frequency;an optical demultiplexer;one or more optical elements arranged to couple at least the first modulated signal and the second modulated signal into the demultiplexer, the demultiplexer adapted to measure a sum of intensities of at least the first modulated signal and the second modulated signal at a plurality of optical frequencies; andone or more processors, operatively coupled to the demultiplexer, configured to apply a Fourier transform to the sum of intensities of the first modulated signal and the second modulated signal at the plurality of optical frequencies and obtain an intensity coefficient of electromagnetic radiation incident each of the first location and the second location for each of the plurality of optical frequencies. 2. The system of claim 1, further comprising one or more optical elements for focusing electromagnetic radiation from an object to be imaged onto the spatial light modulator. 3. The system of claim 1, wherein the spatial light modulator is adapted to encode electromagnetic radiation incident on each of the plurality of pixels using one or more of electro-optic modulation, acousto-optic modulation, magneto-optic modulation, or opto-mechanic modulation. 4. The system of claim 1, wherein the spatial light modulator comprises a digital micromirror device, wherein each of the plurality of pixels includes one or more mirrors coupled to a control unit adapted to cause electrostatic actuation thereof, such that the first pixel is electrostatically actuated at the first modulation frequency and the second pixel is electrostatically actuated at the second modulation frequency. 5. The system of claim 1, wherein the plurality of pixels of the spatial light modulator are arranged in a two dimensional array. 6. The system of claim 1, wherein the one or more optical elements include a multi-mode fiber adapted to transmit at least the first modulated signal and the second modulated signal to the optical demultiplexer. 7. The system of claim 1, wherein the demultiplexer includes plurality of detectors, each detector corresponding to one of the plurality of optical frequencies. 8. The system of claim 7, wherein the demultiplexer includes a diffraction grating-based spectrometer. 9. The system of claim 7, wherein each of the plurality of pixels given by (x,y) is adapted to encode electromagnetic radiation incident thereon via amplitude modulation of the form cos(ω(x,y)t), wherein ω(x,y) is different for each pixel, (x,y); wherein each of the plurality of detectors, j, of the demultiplexer corresponds to an optical frequency component vj, each detector adapted to measure the sum, Σx,yI,(x,y,vj,t) cos(ω(x,y)t), of modulated signals from each of the plurality of pixels at the corresponding optical frequency component; andwherein the one or more processors are configured to apply the Fourier transform to obtain each intensity coefficient I(x,y,vj,t) at each pixel (x,y) for each optical frequency component vj. 10. A method for hyperspectral imaging using a spatial light modulator having a plurality of pixels, comprising: encoding electromagnetic radiation incident a first pixel at a first location into a first modulated signal having a first modulation frequency;encoding electromagnetic radiation incident a second pixel at a second location into a second modulated signal having a second modulation frequency, the first modulation frequency being different than the second modulation frequency;measuring a sum of intensities of at least the first modulated signal and the second modulated signal at a plurality of optical frequencies; andapplying, with one or more processors, a Fourier transform to the sum of intensities of the first modulated signal and the second modulated at the plurality of optical frequencies to obtain an intensity coefficient of electromagnetic radiation incident each of the first location and the second location for each of the plurality of optical frequencies. 11. The method of claim 10, further comprising encoding electromagnetic radiation incident each of the plurality of pixels using one or more of electro-optic modulation, acousto-optic modulation, magneto-optic modulation, or opto-mechanic modulation. 12. The method of claim 10, wherein encoding the electromagnetic radiation incident the first pixel comprises electrostatically actuating one or more mirrors at the first modulation frequency and wherein encoding the electromagnetic radiation incident the second pixel comprises electrostatically actuating one or more minors at the second modulation frequency. 13. The method of claim 10, wherein the plurality of pixels of the spatial light modulator are arranged in a two dimensional array. 14. The method of claim 13, further comprising encoding, at each of the plurality of pixels given, (x,y), electromagnetic radiation incident thereon via amplitude modulation of the form cos(ω(x,y)t), wherein ω(x,y) is different for each pixel, (x,y); measuring, with each of the plurality of detectors, j, of the demultiplexer, each detector corresponding to an optical frequency component vj, the sum, Σx,yI(x,y,vj,t) cos(ω(x,y) t), of modulated signals from each of the plurality of pixels at the corresponding optical frequency component; andapplying, with the one or more processors, the Fourier transform to obtain each intensity coefficient I(x,y,vj,t) at each pixel (x,y) for each optical frequency component vj.