Spectrophotometer Linearity Testing Using the Double-Aperture Method

Klaus D. Mielenz; Ken L. Eckerle

doi:10.1364/AO.11.002294

Applied Optics
Vol. 11,
Issue 10,
pp. 2294-2303
(1972)
•https://doi.org/10.1364/AO.11.002294

Spectrophotometer Linearity Testing Using the Double-Aperture Method

Klaus D. Mielenz and Ken L. Eckerle

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Klaus D. Mielenz and Ken L. Eckerle, "Spectrophotometer Linearity Testing Using the Double-Aperture Method," Appl. Opt. 11, 2294-2303 (1972)

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Abstract

The double-aperture method has been used to determine the nonlinearity correction for a new spectrophotometer having a precision of ±4 × 10⁻⁵ transmittance units. The random and systematic errors of the method are discussed, and techniques are described that yield the additive nonlinearity correction to the high level of precision required for this spectrophotometer. The correction was found to be independent of source polarization, free from interference errors, but slightly dependent on wavelength.

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Run	σ × 10⁴
1	0.90
2	2.04
3	2.67
4	2.11
5	1.50

	First measurement		Second measurement

T	σ × 10⁴	ΔT × 10⁴	σ × 10⁴	ΔT × 10⁴
0.1	0.07	0.72	0.19	0.77
0.2	0.25	1.38	0.45	1.46
0.3	0.52	1.96	0.79	2.02
0.4	0.91	2.40	1.21	2.43
0.5	1.39	2.67	1.70	2.66
0.6	1.97	2.73	2.27	2.68
0.7	2.66	2.53	2.92	2.45
0.8	3.45	2.04	3.65	1.95
0.9	4.34	1.21	4.45	1.14
1.0	5.34	0.00	5.33	0.00

	ΔT × 10⁴

T	525 nm 0°	525 nm 90°	525 nm 45°	400 nm	750 nm
0.1	0.75	0.73	0.75	0.80	0.59
0.2	1.42	1.41	1.40	1.53	1.17
0.3	1.98	1.99	1.92	2.15	1.70
0.4	2.37	2.45	2;28	2.62	2.14
0.5	2.67	2.72	2.48	2.90	2.43
0.6	2.70	2.78	2.47	2.94	2.52
0.7	2.49	2.58	2.25	2.74	2.37
0.8	1.99	2.08	1.78	2.18	1.94
0.9	1.18	1.23	1.04	1.28	1.12

Run	σ × 10⁴
1	0.90
2	2.04
3	2.67
4	2.11
5	1.50

	First measurement		Second measurement

T	σ × 10⁴	ΔT × 10⁴	σ × 10⁴	ΔT × 10⁴
0.1	0.07	0.72	0.19	0.77
0.2	0.25	1.38	0.45	1.46
0.3	0.52	1.96	0.79	2.02
0.4	0.91	2.40	1.21	2.43
0.5	1.39	2.67	1.70	2.66
0.6	1.97	2.73	2.27	2.68
0.7	2.66	2.53	2.92	2.45
0.8	3.45	2.04	3.65	1.95
0.9	4.34	1.21	4.45	1.14
1.0	5.34	0.00	5.33	0.00

Abstract

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Figures (9)

Tables (3)

Equations (68)

Applied Optics