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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Veröffentlicht in:Optics letters 2007-10, Vol.32 (20), p.3008-3010
Hauptverfasser: GALVAO, Roberto K. H, HADJILOUCAS, Sillas, ZAFIROPOULOS, Apostolos, WALKER, Gillian C, BOWEN, John W, DUDLEY, Richard
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container_end_page 3010
container_issue 20
container_start_page 3008
container_title Optics letters
container_volume 32
creator GALVAO, Roberto K. H
HADJILOUCAS, Sillas
ZAFIROPOULOS, Apostolos
WALKER, Gillian C
BOWEN, John W
DUDLEY, Richard
description 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.
doi_str_mv 10.1364/OL.32.003008
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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
title Optimization of apodization functions in terahertz transient spectrometry
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