Analysis of a light beam with a periodically modulated intensity by triggered photon counting

M. A. Rebolledo; J. M. Alvarez; J. C. Amaré

doi:10.1364/JOSAA.3.000108

Journal of the Optical Society of America A
Vol. 3,
Issue 1,
pp. 108-112
(1986)
•https://doi.org/10.1364/JOSAA.3.000108

Analysis of a light beam with a periodically modulated intensity by triggered photon counting

M. A. Rebolledo, J. M. Alvarez, and J. C. Amaré

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M. A. Rebolledo, J. M. Alvarez, and J. C. Amaré, "Analysis of a light beam with a periodically modulated intensity by triggered photon counting," J. Opt. Soc. Am. A 3, 108-112 (1986)

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Abstract

Theoretical expressions for the factorial moments of the triggered photon-counting distribution that corresponds to a light beam with a periodically modulated intensity are derived. Two triggering procedures are considered: the time-window triggering procedure (which has been experimentally checked for Gaussian light by other authors) and the first-photopulse triggering procedure (which is a faster procedure). The theoretical expressions that correspond to the latter procedure are experimentally checked in this paper by using a square-wave signal. The errors involved in the analysis of the information contained in the light beam, when this information is obtained from the measurement of the first-order factorial moment, are studied.

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T/P	ĪT	n_e^[1]	n_t^[1]	ĪT	n_e^[1]	n_t^[1]
0.100	104.00	1.9015	1.9000	1.05	1.8943	1.8999
0.200	99.72	1.7979	1.8000	1.05	1.7848	1.7873
0.301	102.10	1.6939	1.6988	1.03	1.6207	1.6204
0.400	101.37	1.6060	1.6000	1.06	1.4141	1.4131
0.500	101.00	1.4952	1.4950	0.99	1.1531	1.1552
0.602	102.49	1.2550	1.2575	1.02	0.9619	0.9664
0.704	100.39	1.1171	1.1192	1.01	0.8833	0.8838
0.806	99.77	1.0394	1.0414	1.04	0.8749	0.8769
0.909	100.82	1.0036	1.0041	1.03	0.9091	0.9233
1.000	101.69	1.0032	1.0000	1.02	0.9987	1.0000

T/P	ĪT	e_p (%)	ĪT	e_p (%)
0.100	104.00	3.8	1.05	15
0.200	99.72	2.5	1.05	6.0
0.301	102.10	1.9	1.03	2.8
0.400	101.37	1.6	1.06	1.7
0.602	102.49	0.48	1.02	1.7
0.704	100.39	0.53	1.01	4.3
0.806	99.77	0.60	1.04	7.2
0.909	100.82	0.89	1.03	2.1

T/P	ĪT	n_e^[1]	n_t^[1]	ĪT	n_e^[1]	n_t^[1]
0.100	104.00	1.9015	1.9000	1.05	1.8943	1.8999
0.200	99.72	1.7979	1.8000	1.05	1.7848	1.7873
0.301	102.10	1.6939	1.6988	1.03	1.6207	1.6204
0.400	101.37	1.6060	1.6000	1.06	1.4141	1.4131
0.500	101.00	1.4952	1.4950	0.99	1.1531	1.1552
0.602	102.49	1.2550	1.2575	1.02	0.9619	0.9664
0.704	100.39	1.1171	1.1192	1.01	0.8833	0.8838
0.806	99.77	1.0394	1.0414	1.04	0.8749	0.8769
0.909	100.82	1.0036	1.0041	1.03	0.9091	0.9233
1.000	101.69	1.0032	1.0000	1.02	0.9987	1.0000

T/P	ĪT	e_p (%)	ĪT	e_p (%)
0.100	104.00	3.8	1.05	15
0.200	99.72	2.5	1.05	6.0
0.301	102.10	1.9	1.03	2.8
0.400	101.37	1.6	1.06	1.7
0.602	102.49	0.48	1.02	1.7
0.704	100.39	0.53	1.01	4.3
0.806	99.77	0.60	1.04	7.2
0.909	100.82	0.89	1.03	2.1

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Equations (36)

Journal of the Optical Society of America A