Abstract

The resolution of a Fourier-transform spectrometer is limited by the maximum difference of optical path obtainable, the latter being determined by mechanical limitations, diffraction effects, or shadowing. A method has been proposed which would, in theory, overcome this limitation and permit excess signal-to-noise ratio to be exchanged for improved instrument resolution by extending the interferogram function by means of expansion in terms of the prolate spheroidal wavefunctions. The extended interferogram function may then be processed in the conventional manner to obtain a measured spectral density of greater resolution than would have been possible by processing the original interferogram data.

© 1966 Optical Society of America

Resolution and Noise in Fourier Spectroscopy*

Nathan Jacobi
J. Opt. Soc. Am. 58(4) 495-498 (1968)

High-Resolution Fourier Transform Spectroscopy in the Far-Infrared

P. L. Richards
J. Opt. Soc. Am. 54(12) 1474-1484 (1964)

Near-Infrared Planetary Spectra by Fourier Spectroscopy. I. Instruments and Results

Janine Connes and Pierre Connes
J. Opt. Soc. Am. 56(7) 896-910 (1966)

PEPSIOS Purely Interferometric High-Resolution Scanning Spectrometer. III. Calculation of Interferometer Characteristics by a Method of Optical Transients*

John O. Stoner
J. Opt. Soc. Am. 56(3) 370-376 (1966)

Correction of Asymmetric Interferograms Obtained in Fourier Spectroscopy*

Michael L. Forman, W. Howard Steel, and George A. Vanasse
J. Opt. Soc. Am. 56(1) 59-63 (1966)