Effects of target contrast and background upon tribar threshold and resolution

A. K. Jaiswal; R. K. Bhogra

doi:10.1364/AO.15.000504

Applied Optics
Vol. 15,
Issue 2,
pp. 504-509
(1976)
•https://doi.org/10.1364/AO.15.000504

Effects of target contrast and background upon tribar threshold and resolution

A. K. Jaiswal and R. K. Bhogra

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A. K. Jaiswal and R. K. Bhogra, "Effects of target contrast and background upon tribar threshold and resolution," Appl. Opt. 15, 504-509 (1976)

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Abstract

Effects of target contrast and background irradiance upon tribar response of optical systems have been investigated. It has been shown that these factors lead to ambiguities in the specification of tribar threshold and resolution for photooptical systems.

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ω_t	R for black background		R for white background		R for gray background M′₀ = 1.0

	M′₀ = 1.0	M′₀ = 0.3	M′₀ = 1.0	M′₀ = 0.3
0.2	1.010	1.004	0.992	0.998	1.000
0.4	1.020	1.007	0.984	0.996	0.993
0.6	1.029	1.010	0.976	0.994	0.999
0.8	1.039	1.013	0.968	0.992	0.998
1.0	1.052	1.019	0.962	0.992	1.000
1.2	1.064	1.024	0.958	0.992	0.998
1.4	1.075	1.028	0.950	0.990	0.986
1.6	1.097	1.041	0.949	0.996	0.968
1.8	1.332	1.254	1.130	1.193	1.122

ω_t	R for black background		R for white background		R for gray background M′₀ = 1.0

	M′₀ = 1.0	M′₀ = 0.3	M′₀ = 1.0	M′₀ = 0.3
0.2	1.019	1.006	0.983	0.996	1.000
0.4	1.039	1.013	0.967	0.991	0.994
0.6	1.063	1.022	0.955	0.990	1.004
0.8	1.067	1.015	0.931	0.974	0.976
1.0	1.138	1.068	0.959	1.015	1.012
1.2	1.150	1.068	0.944	1.007	0.997
1.4	1.133	1.033	0.887	0.960	0.913
1.6	1.351	1.200	0.992	1.094	0.960
1.8	2.216	1.910	1.520	1.707	1.350

Normalized frequency ω_t	Image contrast for a circular aperture		Image contrast for an annular aperture (∊ = 0.5)

	A	B	A	B
0.2	0.276	0.278	0.256	0.259
0.4	0.252	0.258	0.167	0.174
0.6	0.236	0.242	0.113	0.118
0.8	0.195	0.202	0.094	0.102
1.0	0.152	0.159	0.091	0.103
1.2	0.111	0.118	0.096	0.111
1.4	0.074	0.081	0.088	0.113
1.6	0.041	0.049	0.064	0.098
1.8	0.018	0.023	0.036	0.067

Normalized target frequency ω_t	Cirrcular aperture		Annular aperture (∊ = 0.5)

	M′₀	EEM	M′₀	EEM
0.4	0.0957	0.0446	0.1447	0.0449
0.6	0.1023	0.0408	0.2135	0.0420
0.8	0.1237	0.0402	0.2572	0.0408
1.0	0.1588	0.0403	0.2639	0.0415
1.2	0.2164	0.0405	0.2512	0.0418
1.4	0.3245	0.0409	0.2748	0.0431
1.6	0.5687	0.0420	0.3730	0.0458

ω_t	R for black background		R for white background		R for gray background M′₀ = 1.0

	M′₀ = 1.0	M′₀ = 0.3	M′₀ = 1.0	M′₀ = 0.3
0.2	1.010	1.004	0.992	0.998	1.000
0.4	1.020	1.007	0.984	0.996	0.993
0.6	1.029	1.010	0.976	0.994	0.999
0.8	1.039	1.013	0.968	0.992	0.998
1.0	1.052	1.019	0.962	0.992	1.000
1.2	1.064	1.024	0.958	0.992	0.998
1.4	1.075	1.028	0.950	0.990	0.986
1.6	1.097	1.041	0.949	0.996	0.968
1.8	1.332	1.254	1.130	1.193	1.122

Abstract

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Equations (17)

Applied Optics