spot spectrometers can be built according to fig2 and 3 wherein each of them an imaging sensor 41 a line of sensor elements is used to capture the interference patterns generated by two parallel cylindrical convex mirrors 23 reflecting the incoming parallel light signals 1 which can be delivered by a waveguide optical fiber 61 and or an optical system built of lenses and or mirrors as described by fig1 14 in the second group of embodiments line scan hyperspectral cameras can be built according to fig4 and 5 wherein each of them an imaging sensor 42 a matrix of sensor elements is used to capture the interference patterns generated by two parallel cylindrical convex mirrors 24 reflecting the incoming parallel light signals 11 which can be delivered by waveguides optical fibers 62 and or an optical system built of lenses and or mirrors as described by fig8 14 in the third group of embodiments 2d instantaneous hyperspectral cameras can be built according to fig6 wherein an imaging sensor 42 a matrix of sensor elements is used to capture the interference patterns generated by the many parallel cylindrical convex mirrors 25 reflecting the incoming parallel light signals 12 which can be delivered by an optical system built of lenses and or mirrors.