Abstract

When an interferogram is an even function of path difference, it suffices to compute the cosine Fourier transform of the interferogram from zero to D the maximum path difference, to produce the spectrum. If the computation does not start from exactly zero path difference, there is a phase error, which leads to asymmetry of the scanning function and, in the case of continuous spectra, distortion of the base line. The phase error may best be corrected by introducing a corresponding phase correction into the transforming cosine function. Taking the total transform, $T=\sqrt{C^2+S^2}$ leads to a symmetric scanning function which has rather broad wings.

© 1963 Optical Society of America

Correction of Phase Errors in Interferograms

Lawrence Mertz
Appl. Opt. 2(12) 1332-1332 (1963)

Phase correction in Fourier transform spectroscopy: subsequent displacement correction and error limit

Kim Rahmelow and Wigand Hübner
Appl. Opt. 36(26) 6678-6686 (1997)

Correction of Phase Errors in Interferograms

R. Haswell, A. E. Martin, and G. R. Sharp
Appl. Opt. 3(10) 1195_1-1196 (1964)

Multiplicative Correction of Phase Errors in Fourier Spectroscopy

R. B. Sanderson and E. E. Bell
Appl. Opt. 12(2) 266-270 (1973)

Correction of Off-Center Sampled Interferograms by a Change of Origin in the Fourier Transform; the Important Effect of Overlapping Aliases

D. A. Walmsley, T. A. Clark, and R. E. Jennings
Appl. Opt. 11(5) 1148-1151 (1972)