The comparison between “large aperture static imaging spectrometry (LASIS)” designed by author and “method for simultaneously measuring the spectral intensity as a function of wavelength of all the pixels of a two dimensional scene” (MSMSI) designed by Israeli researchers is given. The difference of the interferometers and imaging systems in LASIS and MSMSI is discussed. The nonlinear curve of optical path difference of MSMSI is simulated. Inspired by the operation of MSMSI, the time modulated Fourier transform imaging spectrometry based on lateral shearing interferometer was presented. The optical path differences of different field of view were given under the condition of regularly rotating the lateral shearing interferometer.