Correction of non-linearities in detectors in fourier transform

Optics: measuring and testing – By particle light scattering – With photocell detection

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G01B 902, G01J 345

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active

049272691

ABSTRACT:
An interferogram is formed as in the prior art by dividing a beam of radiation from the source into two beams and interfering these beams so as to form an interferogram on the detector. A Fourier transform is then made of this interferogram. This transform has a signal spectrum above the cutoff frequency of the detector; and because of non-linearities in the detector and in the electronic signal processing circuitry, this transform also has a spectrum below the cutoff frequency of the detector. In accordance with the invention, two correction factors are calculated from this Fourier transform and these correction factors are then used to calculate a corrected interferogram. The first correction factor is evaluated by determining from the portion of the spectrum below the cutoff frequency a valve for the spectral signal at zero frequency. In addition, the integral of the square of the spectrum signal above the cutoff frequency is determined and the correction factor is found by dividing the signal at zero frequency by the integral of the square of the spectrum above the cutoff. The second correction factor is a function of the first correction factor and the integral of the spectrum signal above cutoff. These two corrections factors are then used in calculating a second order approximation to a corrected interferogram. Finally to produce the corrected Fourier transform, a Fourier transformation is made.

REFERENCES:
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Grant R. Fowles, Introduction to Modern Optics, .sctn.3.9, (1968), pp. 84-86.
Mattson Instruments, Inc. Brochure entitled: Polaris/Icon FT/IR System.
Perkin-Elmer Brochure entitled: MCT Detectors for the Model 1800 FTIR Spectrophotometer; Jun., 1986.
Bruker Brochure entitled: IFS 66; 3/11/87.
Article on the J15 Series Mercury Cadmium Pelluride Detectors.
Willis, "Design and Performance of a New Double Beam Fast Fourier Transform Interferometer", Infrared Physics, vol. 16, No. 1-2, pp. 299-300, Mar. 1976.
Ng et al., "A Real-Time Correlation-Based Data Processing System for Interferometric Signals", Applied Spectroscopy, vol. 39, No. 5, pp. 841-847, 5/85.

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