Optimization of apodization functions in terahertz transient spectrometry

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...

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Bibliographic Details
Published in:Optics letters 2007-10, Vol.32 (20), p.3008-3010
Main Authors: GALVAO, Roberto K. H, HADJILOUCAS, Sillas, ZAFIROPOULOS, Apostolos, WALKER, Gillian C, BOWEN, John W, DUDLEY, Richard
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Image forming and processing
Image reconstruction
tomography
Imaging and optical processing
Mathematical methods in physics
Numerical approximation and analysis
Optics
Physics
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Summary: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.
ISSN:0146-9592
1539-4794
DOI:10.1364/OL.32.003008