Level crossing detection by multichannel analysis and n<sup>(2)</sup>(T) measurement: comparison of errors

J. J. Sanz; M. A. Rebolledo

doi:10.1364/AO.23.000264

Applied Optics
Vol. 23,
Issue 2,
pp. 264-268
(1984)
•https://doi.org/10.1364/AO.23.000264

Level crossing detection by multichannel analysis and n⁽²⁾(T) measurement: comparison of errors

J. J. Sanz and M. A. Rebolledo

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J. J. Sanz and M. A. Rebolledo, "Level crossing detection by multichannel analysis and n⁽²⁾(T) measurement: comparison of errors," Appl. Opt. 23, 264-268 (1984)

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Abstract

In this paper, we use a theoretical model that makes it possible to calculate the error with which the information contained in a light beam with a periodically modulated intensity is obtained when using a multichannel signal analyzer. The model is applied to level crossing spectroscopy, and the errors in determining the crossing point and signal width are compared with those obtained using the n⁽²⁾(T) measurement method.

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Ī		T/Γ = 2.5 × 10⁻³	5 × 10⁻³	10⁻²	2.5 × 10⁻²	5 × 10⁻²	0.1	0.25	0.5
e_Γ	10³	1.21	1.21	1.21	1.21	1.22	1.24	1.26	1.29
	10⁵	0.121	0.121	0.121	0.121	0.122	0.124	0.126	0.129
	10⁷	1.21 × 10⁻²	1.21 × 10⁻²	1.21 × 10⁻²	1.21 × 10⁻²	1.22 × 10⁻²	1.24 × 10⁻²	1.26 × 10⁻²	1.29 × 10⁻²
e_t₀	10³	0.165	0.165	0.165	0.165	0.166	0.167	0.171	0.199
	10⁵	1.65 × 10⁻²	1.65 × 10⁻²	1.65 × 10⁻²	1.65 × 10⁻²	1.66 × 10⁻²	1.67 × 10⁻²	1.71 × 10⁻²	1.99 × 10⁻²
	10⁷	1.65 × 10⁻³	1.65 × 10⁻³	1.65 × 10⁻³	1.65 × 10⁻³	1.66 × 10⁻³	1.67 × 10⁻³	1.71 × 10⁻³	1.99 × 10⁻³

Ī		T/Γ = 2.5 × 10⁻³	5 × 10⁻³	10⁻²	2.5 × 10⁻²	5 × 10⁻²	0.1	0.25	0.5
e_Γ	10³	1.37	1.37	1.37	1.37	1.38	1.39	1.46	2.06
	10⁵	0.137	0.137	0.137	0.137	0.138	0.139	0.146	0.206
	10⁷	1.37 × 10⁻²	1.37 × 10⁻²	1.37 × 10⁻²	1.37 × 10⁻²	1.38 × 10⁻²	1.39 × 10⁻²	1.46 × 10⁻²	2.06 × 10⁻²
e_t₀	10³	0.142	0.142	0.142	0.142	0.143	0.144	0.147	0.151
	10⁵	1.42 × 10⁻²	1.42 × 10⁻²	1.42 × 10⁻²	1.42 × 10⁻²	1.43 × 10⁻²	1.44 × 10⁻²	1.47 × 10⁻²	1.51 × 10⁻²
	10⁷	1.42 × 10⁻³	1.42 × 10⁻³	1.42 × 10⁻³	1.42 × 10⁻³	1.43 × 10⁻³	1.44 × 10⁻³	1.47 × 10⁻³	1.51 × 10⁻³

		Dispersion		Lorentz

t₀/Γ	T/Γ	e_Γ	e_t₀	e_Γ	e_t₀
0.5	0.1	0.135	0.0614	0.142	0.0202
1	0.1	0.125	0.0283	0.139	0.0194
1.5	0.1	0.121	0.0202	0.141	0.0165
2	0.1	0.123	0.0162	0.137	0.0143
2	0.01	0.121	0.0159	0.133	0.0140

		Dispersion		Lorentz

t₀/Γ	T/Γ	e_Γ	e_t₀	e_Γ	e_t₀
0.5	0.1	0.242	0.265	0.662	0.111
1	0.1	0.654	0.122	0.631	0.253
1.5	0.1	0.315	0.091	0.683	0.224
2	0.1	0.272	0.080	0.724	0.302
2	0.01	0.231	0.048	0.395	0.221

	Dispersion	Lorentz
Γ	1.90	2.97
t₀	3.02	7.86

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Applied Optics