Resolution and stray light in near infrared spectroscopy

Wilbur Kaye

doi:10.1364/AO.14.001977

Applied Optics
Vol. 14,
Issue 8,
pp. 1977-1986
(1975)
•https://doi.org/10.1364/AO.14.001977

Resolution and stray light in near infrared spectroscopy

Wilbur Kaye

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Wilbur Kaye, "Resolution and stray light in near infrared spectroscopy," Appl. Opt. 14, 1977-1986 (1975)

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Abstract

The slit function at 1064 nm for a double monochromator spectrophotometer has been obtained with sufficient dynamic range to quantitatively account for the resolution and stray light over a wide range of resolution and absorbance levels. Conventional stray light tests are found to underestimate seriously that portion of the nearby stray light that most influences errors in ir absorbance determinations, and improved tests are suggested. A revision of the definition of stray light is suggested in order to minimize the variation of stray light with resolution. Convolutions of the observed slit functions with the transmittance function for the 1691-nm band of chloroform agree with observed absorbance measurements over a wide range of resolution and absorbance levels. The ratio of true to observed absorbance levels for chloroform is significantly less influenced by resolution than the literature, using triangular or Gaussian slit functions and Lorentzian absorbance functions, predicts.

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SSW	30	5	1
q
1	3.3 × 10⁻⁴	1 × 10⁻³	—
2	7 × 10⁻⁵	3.5 × 10⁻⁴	1.7 × 10⁻²
3	6.5 × 10⁻⁶	2.5 × 10⁻⁴	6.0 × 10⁻³
5	<10⁻⁶	1.5 × 10⁻⁴	1.2 × 10⁻³
10	<10⁻⁷	5.4 × 10⁻⁵	6.4 × 10⁻⁴
δλ
3 nm	—	—	7 × 10⁻³
6	—	6.5 × 10⁻⁴	1 × 10⁻³
10	—	3.4 × 10⁻⁴	6 × 10⁻⁴
20	—	1.9 × 10⁻⁴	3.5 × 10⁻⁴
30	3.3 × 10⁻⁴	1.2 × 10⁻⁴	2.0 × 10⁻⁴
50	1.1 × 10⁻⁴	5.3 × 10⁻⁵	7.0 × 10⁻⁵
70	3.9 × 10⁻⁵	1.4 × 10⁻⁵	1.2 × 10⁻⁵

	10	1.0	0.32	0.22 cm
Parameter
T_calc	0	0	8 × 10⁻⁶	3.3 × 10⁻⁴
T_obs	7.8 × 10⁻⁵	2.2 × 10⁻⁴	3.1 × 10⁻⁴	6.8 × 10⁻⁴
δλ(T – 50%)	82	44	30	26 nm
δλ(T = 10%)	64	23	17	13
δλ(T – 1.0%)	43	17	6.4	2.4
δλ/2 (Fig. 9)	46	23	16	15

λ	Test material	Path	Blocking filter	Δλ	δλ	SRPR
940 nm	Si	0.20 cm	Red glass	30 nm	(190 nm)	4.10⁻⁷
1140	CHCl₃	10.0	Red glass	2.3	24	2.8 × 10⁻⁴
1410	CHCl₃	10.0	Si	2.3	39	1.9 × 10⁻⁴
1691	CHCl₃	0.60	Si	2.3	37	2.6 × 10⁻⁴
2257	CH₂Br₂	0.10	Ge	2.3	40	3.8 × 10⁻⁴
2374	CHCl₃	0.115	Ge	2.3	52	2.0 × 10⁻⁴
2740	Vycor	0.20	Ge	14	256	6 × 10⁻⁵

Δλ	5.5	2.3	0.66
Δλ/HBW	0.52	0.25	0.075
Path
10.0 cm	0.397	0.377 cm⁻¹	—
1.0	3.77	3.66	—
0.503	7.28	7.03	—
0.303	11.09	—	—
0.203	12.55	14.68	—
0.103	13.17	15.57	15.74
0.063	13.60	15.56	15.91
0.035	13.52	15.45	15.80

Δλ		5.5	5.5	1.2	1.2
Slit function		Full	Restricted	Full	Restricted
Path	A_true
10.0 cm	158	0.42	—	0.40	15.46
1.0	15.8	3.80	9.48	3.53	15.60
0.503	7.95	7.35	10.77	6.78	15.58
0.303	4.79	10.66	11.51	10.88	15.47
0.203	3.21	12.04	12.24	14.00	15.31
0.103	1.627	13.03	13.09	15.37	15.57
0.035	0.553	13.49	13.52	15.52	15.57

Δλ/HBW	0.52	0.52	0.25	0.25
A_obs	0.473	1.357	0.541	1.604
A_true/A_obs (this study)	1.169	1.20	1.022	1.015
A_true/A_calc (this study)	1.169	1.21	1.015	1.032
A_true/A_calc (Ramsay)	1.26	1.27	1.04	1.04
A_true/A_calc (Roseler)	1.27	1.28	1.05	1.05
HBW_obs/HBW_true (this study)	1.20	1.10	1.02	1.01
HBW_caJc/HBW_true (Ramsay)	1.35	1.28	1.06	1.05
HBW_calc/HBW_true (Roseler)	1.36	1.30	1.07	1.05

Δλ/HBW	0.52	0.52	0.25	0.25
A_obs	0.473	1.357	0.541	1.604
A_true/A_obs (this study)	1.169	1.20	1.022	1.015
A_true/A_calc (this study)	1.169	1.21	1.015	1.032
A_true/A_calc (Ramsay)	1.26	1.27	1.04	1.04
A_true/A_calc (Roseler)	1.27	1.28	1.05	1.05
HBW_obs/HBW_true (this study)	1.20	1.10	1.02	1.01
HBW_caJc/HBW_true (Ramsay)	1.35	1.28	1.06	1.05
HBW_calc/HBW_true (Roseler)	1.36	1.30	1.07	1.05

Abstract

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Figures (10)

Tables (6)

Equations (3)

Applied Optics