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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 1 — Jan. 1, 2000
  • pp: 108–113

High-accuracy Fourier transform interferometry, without oversampling, with a 1-bit analog-to-digital converter

Vincent Ricardo Daria and Caesar Saloma  »View Author Affiliations


Applied Optics, Vol. 39, Issue 1, pp. 108-113 (2000)
http://dx.doi.org/10.1364/AO.39.000108


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Abstract

We demonstrate a new technique for performing accurate Fourier transform interferometry with a 1-bit analog-to-digital (AD) converter that does not require oversampling of the interferogram, unlike in other 1-bit coding schemes that rely on delta-sigma modulation. Sampling aims at locating the intersections {z i } of the modulation term s(z) of the interferogram and a reference sinusoid r(z) = A cos(2πf r z), where z is the optical path difference. A new autocorrelation-based procedure that includes the accurate recovery of the equally sampled amplitude representation {s(k)} of s(z) from {z i } is utilized to calculate the square of the emission spectrum of the light source (sample). The procedure is suitable for interferograms that are corrupted with additive noise. Sinusoid-crossing sampling satisfies the Nyquist sampling criterion, and a z i exists within each sampling interval Δ = 1/2f r , if A ≥ |s(z)| for all z, and f r f c , where f c is the highest frequency component of s(z). By locating a crossing at an accuracy of 1 part in 216, we determine the multimode spectrum of an argon-ion laser with a 1-bit AD converter that performs like a 13-bit amplitude-sampling AD converter.

© 2000 Optical Society of America

OCIS Codes
(070.4790) Fourier optics and signal processing : Spectrum analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation

History
Original Manuscript: June 14, 1999
Revised Manuscript: August 23, 1999
Published: January 1, 2000

Citation
Vincent Ricardo Daria and Caesar Saloma, "High-accuracy Fourier transform interferometry, without oversampling, with a 1-bit analog-to-digital converter," Appl. Opt. 39, 108-113 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-1-108

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