Spectral Energy Thresholds for the Resolution of Acuity Targets*

John L. Brown; Lester Phares; Dorothy E. Fletcher

doi:10.1364/JOSA.50.000950

Journal of the Optical Society of America
Vol. 50,
Issue 10,
pp. 950-960
(1960)
•https://doi.org/10.1364/JOSA.50.000950

Spectral Energy Thresholds for the Resolution of Acuity Targets

John L. Brown, Lester Phares, and Dorothy E. Fletcher

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John L. Brown, Lester Phares, and Dorothy E. Fletcher, "Spectral Energy Thresholds for the Resolution of Acuity Targets*," J. Opt. Soc. Am. 50, 950-960 (1960)

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Abstract

Threshold relative energy measurements have been made with monochromatic light at 10-mμ intervals between 400 and 710 mμ for threshold criteria which represent a series of visual acuities in addition to light detection. The data can be approximated by summing cone and rod sensitivities derived from earlier independent measurements of light detection by the dark-adapted eye in the fovea and the periphery. The relation between the logarithm of threshold energy and visual acuity required by the criterion of threshold has been predicted from monochromatic energy data for several broad spectral distributions of illumination and predictions are compared with empirical data.

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Lines/in.	Visual acuity required for resolution
133	0.45
100	0.33
85	0.28
60	0.20
50	0.17
40	0.13
32	0.11
26	0.09

	Light detection		Visual acuity
	Light detection		0.11		0.20		0.33
Wavelength mμ	JB	LP	JB	LP	JB	LP	JB	LP
400	−4.08	−4.14	−3.41	−3.47	−2.45	−2.58	−1.60	−1.48
10	−4.25	−4.38	−3.77	−3.61	−2.97	−2.66	−1.99	−2.05
20	−4.70	−4.70	−3.96	−4.15	−3.18	−3.30	−2.38	−2.38
30	−4.85	−4.85	−4.26	−4.42	−3.73	−3.75	−2.80	−2.60
40	−5.08	−5.09	−4.40	−4.66	−3.57	−3.73	−3.08	−3.05
450	−5.12	−5.18	−4.50	−4.57	−3.71	−3.85	−3.17	−3.18
60	−5.20	−5.21	−4.79	−4.97	−4.01	−3.93	−3.15	−3.35
70	−5.26	−5.38	−4.71	−5.02	−4.22	−4.06	−3.17	−3.36
80	−5.50	−5.39	−4.85	−4.99	−4.25	−4.32	−3.42	−3.44
90	−5.45	−5.50	−4.89	−4.92	−4.45	−4.23	−3.61	−3.57
500	−5.56	−5.47	−4.94	−5.11	−4.31	−4.28	−3.54	−3.46
10	−5.50	−5.48	−4.92	−5.19	−4.44	−4.45	−3.50	−3.64
20	−5.36	−5.43	−4.90	−5.13	−4.29	−4.29	−3.52	−3.47
30	−5.13	−5.38	−4.76	−4.87	−4.63	−4.31	−3.57	−3.57
40	−5.30	−5.36	−4.81	−5.08	−4.13	−4.23	−3.39	−3.45
550	−5.30	−5.13	−4.55	−4.79	−4.35	−4.04	−3.47	−3.50
60	−4.95	−5.01	−4.47	−4.67	−3.92	−3.92	−3.23	−3.35
70	−4.79	−4.72	−4.27	−4.48	−3.80	−3.77	−3.38	−3.44
80	−4.51	−4.58	−4.09	−4.32	−3.69	−3.67	−3.49	−3.39
90	−4.49	−4.27	−3.91	−4.26	−3.57	−3.64	−3.12	−3.32
600	−4.20	−4.05	−3.82	−3.83	−3.53	−3.34	−3.16	−3.20
10	−3.76	−3.85	−3.62	−3.74	−3.43	−3.32	−3.13	−3.19
20	−3.72	−3.63	−3.55	−3.44	−3.17	−3.14	−3.08	−3.00
30	−3.52	−3.45	−3.31	−3.42	−3.17	−3.04	−2.97	−2.82
40	−3.38	−3.30	−3.24	−3.15	−2.93	−2.76	−2.60	−2.52
650	−3.13	−3.10	−2.99	−3.01	−2.81	−2.53	−2.68	−2.43
60	−2.95	−2.81	−2.74	−2.73	−2.33	−2.27	−2.45	−2.23
70	−2.58	−2.58	−2.35	−2.45	−2.07	−2.08	−1.91	−1.96
80	−2.33	−2.24	−2.18	−2.03	−1.79	−1.76	−1.33	−1.43
90	−2.08	−1.92	−1.78	−1.78	−1.44	−1.44	−1.32	−1.26
700	−1.89	−1.65	−1.70	−1.49	−1.19	−0.98	−1.12	−0.97
10	−1.44	−1.44	−1.19	−1.30	−0.88	−0.84	−0.70	−0.67

Wavelength mμ	Observer	Visual acuity
Wavelength mμ	Observer	0.09	0.13	0.17	0.28	0.45
480	JB	−5.01	−4.78	−4.59	−3.99	−3.33
	LP	−5.29	−4.91	−4.81	−3.76	−3.19
500	JB	−5.03	−4.92	−4.77	−3.94	−3.41
	LP	−5.31	−4.96	−4.88	−3.83	−3.33
520	JB	−5.09	−5.05	−4.72	−4.01	−3.38
	LP	−5.32	−5.03	−4.91	−3.94	−3.50
610	JB	−3.85	−3.68	−3.46	−3.50	−3.28
	LP	−3.99	−3.88	−3.85	−3.37	−3.24
630	JB	−3.53	−3.54	−3.28	−3.25	−2.95
	LP	−3.60	−3.63	−3.50	−3.13	−2.87
650	JB	−3.17	−3.15	−2.96	−2.98	−2.56
	LP	−3.26	−3.13	−3.08	−2.71	−2.51

Lines/in.	Visual acuity required for resolution
133	0.45
100	0.33
85	0.28
60	0.20
50	0.17
40	0.13
32	0.11
26	0.09

	Light detection		Visual acuity
	Light detection		0.11		0.20		0.33
Wavelength mμ	JB	LP	JB	LP	JB	LP	JB	LP
400	−4.08	−4.14	−3.41	−3.47	−2.45	−2.58	−1.60	−1.48
10	−4.25	−4.38	−3.77	−3.61	−2.97	−2.66	−1.99	−2.05
20	−4.70	−4.70	−3.96	−4.15	−3.18	−3.30	−2.38	−2.38
30	−4.85	−4.85	−4.26	−4.42	−3.73	−3.75	−2.80	−2.60
40	−5.08	−5.09	−4.40	−4.66	−3.57	−3.73	−3.08	−3.05
450	−5.12	−5.18	−4.50	−4.57	−3.71	−3.85	−3.17	−3.18
60	−5.20	−5.21	−4.79	−4.97	−4.01	−3.93	−3.15	−3.35
70	−5.26	−5.38	−4.71	−5.02	−4.22	−4.06	−3.17	−3.36
80	−5.50	−5.39	−4.85	−4.99	−4.25	−4.32	−3.42	−3.44
90	−5.45	−5.50	−4.89	−4.92	−4.45	−4.23	−3.61	−3.57
500	−5.56	−5.47	−4.94	−5.11	−4.31	−4.28	−3.54	−3.46
10	−5.50	−5.48	−4.92	−5.19	−4.44	−4.45	−3.50	−3.64
20	−5.36	−5.43	−4.90	−5.13	−4.29	−4.29	−3.52	−3.47
30	−5.13	−5.38	−4.76	−4.87	−4.63	−4.31	−3.57	−3.57
40	−5.30	−5.36	−4.81	−5.08	−4.13	−4.23	−3.39	−3.45
550	−5.30	−5.13	−4.55	−4.79	−4.35	−4.04	−3.47	−3.50
60	−4.95	−5.01	−4.47	−4.67	−3.92	−3.92	−3.23	−3.35
70	−4.79	−4.72	−4.27	−4.48	−3.80	−3.77	−3.38	−3.44
80	−4.51	−4.58	−4.09	−4.32	−3.69	−3.67	−3.49	−3.39
90	−4.49	−4.27	−3.91	−4.26	−3.57	−3.64	−3.12	−3.32
600	−4.20	−4.05	−3.82	−3.83	−3.53	−3.34	−3.16	−3.20
10	−3.76	−3.85	−3.62	−3.74	−3.43	−3.32	−3.13	−3.19
20	−3.72	−3.63	−3.55	−3.44	−3.17	−3.14	−3.08	−3.00
30	−3.52	−3.45	−3.31	−3.42	−3.17	−3.04	−2.97	−2.82
40	−3.38	−3.30	−3.24	−3.15	−2.93	−2.76	−2.60	−2.52
650	−3.13	−3.10	−2.99	−3.01	−2.81	−2.53	−2.68	−2.43
60	−2.95	−2.81	−2.74	−2.73	−2.33	−2.27	−2.45	−2.23
70	−2.58	−2.58	−2.35	−2.45	−2.07	−2.08	−1.91	−1.96
80	−2.33	−2.24	−2.18	−2.03	−1.79	−1.76	−1.33	−1.43
90	−2.08	−1.92	−1.78	−1.78	−1.44	−1.44	−1.32	−1.26
700	−1.89	−1.65	−1.70	−1.49	−1.19	−0.98	−1.12	−0.97
10	−1.44	−1.44	−1.19	−1.30	−0.88	−0.84	−0.70	−0.67

Abstract

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Figures (7)

Tables (3)

Equations (2)

Journal of the Optical Society of America