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Optics Letters

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  • Editor: Anthony J. Campillo
  • Vol. 32, Iss. 20 — Oct. 15, 2007
  • pp: 3008–3010

Optimization of apodization functions in terahertz transient spectrometry

Roberto K. H. Galvão, Sillas Hadjiloucas, Apostolos Zafiropoulos, Gillian C. Walker, John W. Bowen, and Richard Dudley  »View Author Affiliations


Optics Letters, Vol. 32, Issue 20, pp. 3008-3010 (2007)
http://dx.doi.org/10.1364/OL.32.003008


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Abstract

A quadratic programming optimization procedure for designing asymmetric apodization windows tailored to the shape of time-domain sample waveforms recorded using a terahertz transient spectrometer is proposed. By artificially degrading the waveforms, the performance of the designed window in both the time and the frequency domains is compared with that of conventional rectangular, triangular (Mertz), and Hamming windows. Examples of window optimization assuming Gaussian functions as the building elements of the apodization window are provided. The formulation is sufficiently general to accommodate other basis functions.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(100.6950) Image processing : Tomographic image processing
(280.5600) Remote sensing and sensors : Radar
(300.6270) Spectroscopy : Spectroscopy, far infrared
(300.6530) Spectroscopy : Spectroscopy, ultrafast

ToC Category:
Spectroscopy

History
Original Manuscript: April 20, 2007
Revised Manuscript: July 6, 2007
Manuscript Accepted: August 14, 2007
Published: October 9, 2007

Citation
Roberto K. H. Galvão, Sillas Hadjiloucas, Apostolos Zafiropoulos, Gillian C. Walker, John W. Bowen, and Richard Dudley, "Optimization of apodization functions in terahertz transient spectrometry," Opt. Lett. 32, 3008-3010 (2007)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-20-3008


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