All optical fast fourier transform on chip with heating tunability design, simulation, fabrication, and performance analysis

A temporal photonic integrated Fast Fourier Transform circuit having n-stages with 2n outputs, where n is an integer greater than 1, comprising:

• a photonic integrated on-chip input for receiving an optical signal from a source;
• and
• a photonic integrated on-chip having n stages, each stage having 2(n−1) interferometers, and each interferometer having a first arm and a second arm parallel to the first arm, the first arm forming a first waveguide providing a first arm output and the second arm having a spiral waveguide providing a second arm output, said interferometers each further having a coupler to couple the first arm output and the second arm output to provide a coupled output, wherein the interferometer of a first stage receives the optical signal from the source and the interferometers from each subsequent stage receives the coupled output from the prior stage, wherein the spiral waveguide imparts a phase delay to the optical signal whereby said circuit conducts Fast Fourier Transform.

A temporal photonic, plasmonic, or hybrid photonic/plasmonic integrated Fast Fourier Transform circuit having n stages and 2n outputs, where n is an integer greater than 1, comprising:

• a photonic, plasmonic, or hybrid photonic/plasmonic integrated on-chip input for receiving an optical signal from a source;
• and
• a photonic, plasmonic, or hybrid photonic/plasmonic integrated on-chip having n stages, each stage having 2(n−1) interferometers, and each interferometer having a first arm and a second arm parallel to the first arm, the first arm forming a first waveguide providing a first arm output and the second arm having a spiral waveguide providing a second arm output, said interferometers each further having a coupler to couple the first arm output and the second arm output to provide a coupled output, wherein the interferometer of a first stage receives the optical signal from the source and the interferometers from each subsequent stage receives the coupled output from the prior stage, wherein the spiral waveguide imparts a phase delay to the optical signal whereby said circuit conducts Fast Fourier Transform.