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Optics Communications

Spectral study of light with a very low intensity by means of the measurement of laplace or fourier transform of the time-interval probability

Rafael J. López, M. Á. Rebolledo

Published Jun 1, 1982• 11 citations
Publisher
DOI
10.1016/0030-4018(82)90085-2

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In this paper we present a method for processing the time-interval data obtained in a single-photon-decay spectroscopy experiment. This method is based on the measurement of the Laplace transform of P ƒ ( t) [the probability distribution function of the time of arrival of the first photon (PDFP) after the excitation pulse] instead of the direct measurement of P ƒ ( t) by means of a multichannel analyzer. With the use of this method, a good estimation of the lifetime of the signal can be obtained with a shorter measurement time than that used in the conventional method, in which the recorded time intervals are used to construct P ƒ ( t). A theoretical model of the error involved in determining the lifetime is obtained for the Laplace method, and it is compared with that corresponding to the measurement of P ƒ ( t) by means of a multichannel analyzer. Finally, a computer simulation of the experiment is performed to corroborate the theoretical predictions.