Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Noise-enhanced measurement of weak doublet spectra with a Fourier-transform spectrometer and a 1-bit analog-to-digital converter

Not Accessible

Your library or personal account may give you access

Abstract

We demonstrate an efficient noise dithering procedure for measuring the power spectrum of a weak spectral doublet with a Fourier-transform spectrometer in which the subthreshold interferogram is measured by a 1-bit analog-to-digital converter without oversampling. In the absence of noise, no information is obtained regarding the doublet spectrum because the modulation term s(x) of its interferogram is below the instrumental detection limit B, i.e., |s(x)| < B, for all path difference x values. Extensive numerical experiments are carried out concerning the recovery of the doublet power spectrum that is represented by s(x) = (s0/2)exp(-π2x2/β)[cos(2πf1x) + cos(2πf2x)], where s0 is a constant, β is the linewidth factor, and 〈f〉 = (f1 + f2)/2. Different values of 〈f〉, s0, and β are considered to evaluate thoroughly the accuracy of the procedure to determine the unknown values of f1 and f2, the spectral linewidth, and the peak values of the spectral profiles. Our experiments show that, even for short observation times, the resonant frequencies of s(x) could be located with high accuracy over a wide range of 〈f〉 and β values. Signal-to-noise ratios as high as 50 are also gained for the recovered power spectra. The performance of the procedure is also analyzed with respect to another method that recovers the amplitude values of s(x) directly.

© 2001 Optical Society of America

Full Article  |  PDF Article
More Like This
High-accuracy Fourier transform interferometry, without oversampling, with a 1-bit analog-to-digital converter

Vincent Ricardo Daria and Caesar Saloma
Appl. Opt. 39(1) 108-113 (2000)

Predictive analog-to-digital converter for Fourier-transform spectrometers

Jean-Daniel Deschênes, Simon Potvin, Jean-Simon Ash, and Jérôme Genest
Appl. Opt. 49(26) 4883-4889 (2010)

Signal recovery in sinusoid-crossing sampling by use of the minimum-negativity constraint

Mary Ann Nazario and Caesar Saloma
Appl. Opt. 37(14) 2953-2963 (1998)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (6)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (9)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved