Optimization of apodization functions in terahertz transient spectrometry

Galvão, R. K. H., Hadjiloucas, S. ORCID: https://orcid.org/0000-0003-2380-6114, Zafiropoulos, A., Walker, G. C., Bowen, J. W. and Dudley, R. (2007) Optimization of apodization functions in terahertz transient spectrometry. Optics Letters, 32 (20). pp. 3008-3010. ISSN 0146-9592

Abstract/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. (C) 2007 Optical Society of America