Increased Efficiency through Undersampling in Fourier Transform Spectroscopy

Naylor, David; Gom, Brad; Fulton, T.; Tahic, Margaret K.; Davis, G. R.

doi:10.1364/fts.2005.ftud14

Cited by 3 publications

(4 citation statements)

References 5 publications

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“…We consider the signal-to-noise (SNR) trade-offs associated with coarse sampling [4][5][6][7][8] for Fourier transform spectroscopy (FTS) using the step-and-integrate method of data collection [7,8]. For the case of an ideal Michelsoninterferometer-based instrument, the response, h͑͒, of a detector at the output plane of the interferometer varies with the time delay, , between the arms of the interferometer as [9]…”

Section: Introductionmentioning

confidence: 99%

“…Coarse sampling is a well-known technique [4][5][6][7][8] and has several advantages over Nyquist sampling related to the fact that coarse sampling can obtain the same spectral resolution as Nyquist sampling, but with fewer measurements. In imaging FTS, where raw data sets can be very large and even problematic, coarse sampling by a factor of 2-4 can provide some data reduction.…”

Section: Introductionmentioning

confidence: 99%

“…Coarse sampling requires fewer mechanical stepping motions during data collection, which can be easier on hardware. If SNR is not an issue, coarse sampling can be used to reduce the total data collection time [7,8]. However, SNR is often one of the most important issues.…”

Section: Introductionmentioning

confidence: 99%

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Signal-to-noise ratio trade-offs associated with coarsely sampled Fourier transform spectroscopy

Thurman

Fienup

2007

J. Opt. Soc. Am. A

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We derive the spectral signal-to-noise ratio (SNR) trade-offs associated with coarsely sampled Fourier transform spectroscopy using a step-and-integrate measurement scheme. We show that there is no SNR penalty in the shot noise limit and a slight SNR benefit in the detector noise limit for the case of coarse sampling to achieve the same spectral resolution as a baseline Nyquist sampling scenario, where the total detector integration time is the same for both sampling cases.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Signal-to-noise ratio trade-offs associated with coarsely sampled Fourier transform spectroscopy

Thurman

Fienup

2007

J. Opt. Soc. Am. A

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“…spectral index mapping of molecular clouds), but will also provide useful information on bright nearby galaxies and planetary atmospheres. Previous papers have discussed the preliminary design [1] and observing modes [2] of FTS-2. In this paper we review the optical design and anticipated performance of the instrument as the project enters the final construction phase.…”

Section: Introductionmentioning

confidence: 99%

Optical design of the SCUBA-2 FTS

Naylor

Gom

Zhang

2007

2007 Joint 32nd International Conference on Infrared and Millimeter Waves and the 15th International Conference on Terahertz El

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FTS-2, an imaging Fourier Transform Spectrometer (IFTS) for use with the SCUBA-2 sub-millimetre bolometer array camera on the James Clerk Maxwell Telescope (JCMT), is currently under development by the University of Lethbridge and will be operational in 2008. SCUBA-2 features two DCcoupled, monolithic TES filled arrays operating at 450 and 850 μm with a total of ~10,000 bolometers. With its larger format and increased sensitivity, SCUBA-2 promises a factor of 1000 increase in mapping speed compared to its predecessors. When coupled with SCUBA-2, FTS-2 will fill a niche between the dual band SCUBA-2 continuum images and the higher spectral resolution, but smaller images produced by the JCMT heterodyne facility instrument HARP-B. The preliminary design of the FTS-2 system has been presented elsewhere; here we review the final optical design of the instrument as the project enters the construction phase. Since the FTS-2 project began after the SCUBA-2 feed optics design was already well underway, the optical design of FTS-2 was tightly constrained and presented unique challenges. In order to maximize the use of the available space, FTS-2 incorporates a folded Mach-Zehnder design including corner cubes in the moving mirror assembly and powered optics with polynomial surfaces in the interferometer arms. A retractable pickoff mirror system allows SCUBA-2 to be used with or without the spectrometer. Both input ports are placed on the sky for atmospheric cancellation, and both output ports are imaged on separate quadrants of the SCUBA-2 arrays. INO (Institut National d'Optique), with guidance from the University of Lethbridge, optimized the optical model for FTS-2 using Zemax to maximize the instrument Field Of View (FOV) and efficiency over the desired resolution range. We present an overview of the optical design, and the projected performance of the IFTS in terms of achievable FOV, spot pattern and vignetting, at Zero Path Difference (ZPD) and for the 2 resolution modes (~0.1 and 0.006 cm -1 ).

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Integration and testing of FTS-2: an imaging Fourier transform spectrometer for SCUBA-2

2008

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Increased Efficiency through Undersampling in Fourier Transform Spectroscopy

Abstract: We present the use of undersampling with a narrow band FTS operating in the stepand-integrate mode. Spectra can be unambiguously retrieved from interferograms sampled at less than the DC band-limited Nyquist sampling interval.

Cited by 3 publications

References 5 publications

Signal-to-noise ratio trade-offs associated with coarsely sampled Fourier transform spectroscopy

Signal-to-noise ratio trade-offs associated with coarsely sampled Fourier transform spectroscopy

Optical design of the SCUBA-2 FTS

Integration and testing of FTS-2: an imaging Fourier transform spectrometer for SCUBA-2

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