Correction of instrument line shape in Fourier transform spectrometry using matrix inversion
Applied Optics, Vol. 45, Issue 21, pp. 5270-5280 (2006)
http://dx.doi.org/10.1364/AO.45.005270
Enhanced HTML 
Acrobat PDF (1164 KB)
Abstract
A novel matrix inversion approach is proposed to correct several contributions to the instrument line shape (ILS) of a Fourier transform spectrometer. The matrix formalism for the ILS is first quickly reviewed. Formal inversion of the ILS matrix is next discussed, along with its limitations. The stability of the inversion process for large field-of view- (FOV-) limited and highly off-axis line shapes is investigated. The effect of inversion on the noise that is present in the spectrum is also presented. Use of classical iterative inversion methods, coupled with efficient synthesis algorithms, is proposed as a way to drastically speed up the inversion process. The method is applied to correct HBr spectra obtained from a laboratory spectrometer that has an adjustable field of view. ILSS from six FOVs are brought to the same spectral axis and to the same ideal sinc shape.
© 2006 Optical Society of America
OCIS Codes
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
(300.6300) Spectroscopy : Spectroscopy, Fourier transforms
ToC Category:
Spectroscopy
History
Original Manuscript: September 7, 2005
Revised Manuscript: January 27, 2006
Manuscript Accepted: February 10, 2006
Citation
Raphaël Desbiens, Jérôme Genest, Pierre Tremblay, and Jean-Pierre Bouchard, "Correction of instrument line shape in Fourier transform spectrometry using matrix inversion," Appl. Opt. 45, 5270-5280 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-21-5270
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- Matrix form for the instrument line shape of Fourier-transform spectrometers yielding a fast integration algorithm to theoretical spectra (AO)
- Impact of interferometer optical path difference speed profile on the Fourier-transform-spectrometry-derived spectrum of a telecommunications signal (AO)
- Fast line-shape correction procedure for imaging Fourier-transform spectrometers (AO)
- Hybrid sampling approach for imaging Fourier-transform spectrometry (AO)
- Software field widening of a Fourier-transform spectrometer using a large focal plane array (AO)
Related Conference Papers
- Characterisation and correction of the instrument line shape in Fourier-transform spectrometry
- A Fourier Transform Spectrometer Simulator for IASI
- Photon games with three pieces of glass
- High sensitivity time-resolved Fourier Transform Spectroscopy: Quantitative wideband spectroscopy with kilometric absorption paths
- Performances of the ACE-FTS instrument
« Previous Article | Next Article »
OSA is a member of 