Abstract

Using the theory of Hilbert and Schmidt, the integral equation expressing the relationship between the interferogram of the Michelson interferometer and the spectrum distribution to be studied is resolved, and the original spectrum is recovered in the case of the Michelson interferometer with an extended source of radiation. The intensity of the interferogram is increased on account of a large solid angle which exceeds the value permissible in FTS. The number of sampling points becomes small (~41) by dividing the larger range of wavenumber into several smaller ones and choosing the appropriate parameter. The instrumental function we obtain has a very small width and does not show the notice able sidelobes. An absorption spectrum of the atmosphere is reconstructed with high resolution in our computer simulation.

© 1989 Optical Society of America