Dependence of Incoherent System Response on Object Contrast

A. K. Jaiswal; Jagat Bhushan

doi:10.1364/AO.13.001839

Applied Optics
Vol. 13,
Issue 8,
pp. 1839-1843
(1974)
•https://doi.org/10.1364/AO.13.001839

Dependence of Incoherent System Response on Object Contrast

A. K. Jaiswal and Jagat Bhushan

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
A. K. Jaiswal and Jagat Bhushan, "Dependence of Incoherent System Response on Object Contrast," Appl. Opt. 13, 1839-1843 (1974)

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Citation alert
Save article

Abstract

A relationship between the image contrast and the object contrast for a general periodic or a truncated periodic object is derived. The result is illustrated for a periodic object of rectangular wave profile. It has been shown that for a truncated sine wave object the image contrast bears a nonlinear relationship to the object contrast. The contrast dependence of the measured or the apparent transfer function defined as the ratio of the image contrast to object contrast has been investigated.

Full Article | PDF Article

More Like This

Effects of target contrast and background upon tribar threshold and resolution

A. K. Jaiswal and R. K. Bhogra
Appl. Opt. 15(2) 504-509 (1976)

Diffraction Images of Truncated Sine and Square Wave Periodic Objects in the Presence of Linear Image Motion

K. Singh, R. Rattan, and N. K. Jain
Appl. Opt. 12(8) 1846-1850 (1973)

Effect of an Apodizing Screen on the Rectangular and Triangular Wave Response of a Circular Aperture with Incoherent Incident Light

P. K. Katti, K. Singh, and A. K. Kavathekar
Appl. Opt. 9(1) 129-134 (1970)

Previous Article Next Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (3)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (18)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

N	C_o′	ω_t = 0.5		T(ω_t) = 0.6850		ω_t = 1.0		T(ω_t) = 0.3910		ω_t = 1.5		T(ω_t) = 0.1443
N	C_o′	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error
3	1.00	0.7018	2.45	0.6713	−2.00	0.4119	5.33	0.3765	−3.70	0.1574	9.08	0.1375	−4.69
	0.75	0.6978	1.87	0.6750	−1.47	0.4071	4.11	0.3806	−2.66	0.1546	7.15	0.1397	−3.16
	0.50	0.6939	1.30	0.6787	−0.92	0.4024	2.92	0.3848	−1.59	0.1519	5.28	0.1420	−1.58
	0.25	0.6900	0.73	0.6824	−0.38	0.3979	1.75	0.3890	−0.50	0.1493	3.48	0.1444	0.05
		0.6862	0.18	0.4889		0.3934	0.61	0.4776		0.1468	1.73	0.4663
5	1.0	0.6944	1.37	0.6764	−1.25	0.4020	2.81	0.3815	−2.42	0.1511	4.71	0.1397	−3.15
	0.75	0.6921	1.04	0.6786	−0.93	0.3993	2.13	0.3840	−1.79	0.1496	3.66	0.1411	−2.24
	0.50	0.6898	0.70	0.6808	−0.61	0.3967	1.45	0.3865	−1.16	0.1481	2.62	0.1424	−1.30
	0.25	0.6876	0.37	0.6831	−0.28	0.3941	0.79	0.3890	−0.52	0.1466	1.61	0.1438	−0.35
		0.6853	0.04	0.4935		0.3915	0.13	0.4870		0.1452	0.62	0.4805
7	1.0	0.6915	0.95	0.6788	−0.91	0.3986	1.95	0.3841	−1.78	0.1487	3.07	0.1407	−2.50
	0.75	0.6899	0.72	0.6804	−0.68	0.3967	1.47	0.3858	−1.33	0.1477	2.34	0.1416	−1.84
	0.50	0.6883	0.48	0.6819	−0.45	0.3949	0.99	0.3876	−0.87	0.1466	1.62	0.1426	−1.17
	0.25	0.6867	0.25	0.6835	−0.22	p.3930	0.52	0.3894	−0.41	0.1456	0.91	0.1436	−0.48
		0.6851	0.01	0.4954		0.3912	0.05	0.4907		0.1446	0.21	0.4861
9	1.0	0.6900	0.73	0.6801	−0.71	0.3967	1.46	0.3854	−1.42	0.1476	2.28	0.1413	−2.05
	0.75	0.6887	0.54	0.6813	−0.54	0.3953	1.09	0.3868	−1.07	0.1468	1.72	0.1421	−1.53
	0.50	0.6875	0.36	0.6825	−0.36	0.3938	0.73	0.3882	−0.71	0.1460	1.16	0.1429	−1.00
	0.25	0.6862	0.18	0.6838	−0.18	0.3924	0.36	0.3896	−0.36	0.1452	0.61	0.1436	−0.47
		0.6850	0.0	0.4964		0.3910	0.0	0.4928		0.1444	0.07	0.4892

N	C_o′	ω_t = 0.5		T(ω_t) = 0.3771		ω_t = 1.0		T(ω_t) = 0.2236		ω_t = 1.5		T(ω_t) = 0.1924
N	C_o′	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error
3	1.0	0.4027	6.78	0.3679	−2.44	0.2563	14.60	0.2161	−3.33	0.2314	20.29	0.1747	−9.20
	0.75	0.3980	5.53	0.3719	−1.37	0.2504	12.01	0.2205	−1.40	0.2224	15.59	0.1802	−6.33
	0.50	0.3934	4.31	0.3760	−0.29	0.2449	9.52	0.2250	0.60	0.2141	11.25	0.1861	−3.27
	0.25	0.3889	3.13	0.3802	0.83	0.2396	7.15	0.2296	2.70	0.2063	7.23	0.1924	−0.01
		0.3845	1.96	0.4775		0.2345	4.87	0.4576		0.1991	3.48	0.4302
5	1.0	0.3898	3.37	0.3699	−1.91	0.2375	6.22	0.2132	−4.65	0.2053	6.71	0.1772	−7.92
	0.75	0.3872	2.68	0.3723	−1.28	0.2342	4.73	0.2160	−3.41	0.2013	4.63	0.1803	−6.31
	0.50	0.3846	2.00	0.3747	−0.64	0.2309	3.28	0.2188	−2.15	0.1975	2.63	0.1834	−4.65
	0.25	0.3821	1.33	0.3771	0.01	0.2279	1.86	0.2217	−0.84	0.1938	0.71	0.1868	−2.93
		0.3796	0.66	0.4869		0.2247	0.49	0.4731		0.1902	−1.14	0.4632
7	1.0	0.3856	2.25	0.3715	−1.49	0.2337	4.52	0.2173	−2.82	0.2003	4.08	0.1782	−7.37
	0.75	0.3838	1.76	0.3732	−1.04	0.2315	3.54	0.2192	−1.96	0.1972	2.50	0.1807	−6.07
	0.50	0.3820	1.29	0.3749	−0.58	0.2294	2.58	0.2212	−1.08	0.1943	0.96	0.1833	−4.75
	0.25	0.3802	0.81	0.3766	−0.12	0.2273	1.64	0.2232	−0.19	0.1914	−0.53	0.1859	−3.38
		0.3784	0.34	0.4907		0.2252	0.72	0.4818		0.1886	−1.98	0.4709
9	1.0	0.3833	1.65	0.3724	−1.24	0.2307	3.19	0.2176	−2.66	0.1995	3.69	0.1832	−4.78
	0.75	0.3819	1.28	0.3738	−0.88	0.2290	2.42	0.2192	−1.97	0.1973	2.55	0.1851	−3.80
	0.50	0.3805	0.91	0.3751	−0.53	0.2273	1.66	0.2208	−1.26	0.1952	1.43	0.1870	−2.80
	0.25	0.3792	0.55	0.3764	−0.17	0.2256	0.92	0.2224	−0.55	0.1931	0.34	0.1890	−1.77
		0.3778	0.19	0.4928		0.2240	0.18	0.4854		0.1910	−0.73	0.4787

N	C_o′	ω_t = 0.5		T(ω_t) = 0.0760		ω_t = 1.0		T(ω_t) = −0.0556		ω_t = 1.5		T(ω_t) = 0.1443
N	C_o′	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error
3	1.0	0.0938	23.39	0.0818	7.68	−0.0423	23.82	−0.0328	40.92	0.2040	41.37	0.1330	−7.85
	0.75	0.0921	21.18	0.0832	9.42	−0.0409	26.48	−0.0338	39.24	0.1912	32.52	0.1390	−3.66
	0.50	0.0905	19.05	0.0845	11.22	−0.0395	28.96	−0.0348	37.41	0.1799	24.71	0.1456	0.93
	0.25	0.0889	16.99	0.0859	13.08	−0.0382	31.28	−0.0359	35.49	0.1699	17.78	0.1529	5.99
		0.0874	15.00	0.4660		−0.0370	33.45	0.4368		0.1610	11.57	0.3946
5	1.0	0.0832	9.43	0.0769	1.16	−0.0568	−2.14	−0.0483	13.13	0.1596	10.63	0.1277	−11.50
	0.75	0.0823	8.32	0.0776	2.12	−0.0556	0.0	−0.0492	11.48	0.1548	7.28	0.1310	−9.23
	0.50	0.0815	7.24	0.0784	3.11	−0.0544	2.16	−0.0502	9.76	0.1502	4.12	0.1344	−6.84
	0.25	0.0807	6.17	0.0791	4.11	−0.0533	4.18	−0.0512	7.97	0.1460	1.15	0.1381	−4.32
		0.0799	5.13	0.4804		−0.0522	6.12	0.4596		0.1419	−1.66	0.4445
7	1.0	0.0802	5.57	0.0759	−0.14	−0.0551	0.87	−0.0494	11.15	0.1510	4.64	0.1267	−12.18
	0.75	0.0797	4.82	0.0764	0.54	−0.0543	2.29	−0.0500	9.99	0.1475	2.19	0.1293	−10.38
	0.50	0.0791	4.08	0.0769	1.22	−0.0536	3.66	−0.0507	8.79	0.1441	−0.14	0.1320	−8.50
	0.25	0.0785	3.35	0.0775	1.92	−0.0528	5.00	−0.0514	7.56	0.1409	−2.37	0.1349	−6.55
		0.0780	2.63	0.4861		−0.0521	6.29	0.4727		0.1378	−4.50	0.4563
9	1.0	0.0789	3.82	0.0756	−0.57	−0.0566	−1.75	−0.0518	6.77	0.1522	5.49	0.1339	−7.18
	0.75	0.0785	3.25	0.0760	−0.04	−0.0559	−0.60	−0.0524	5.79	0.1497	3.72	0.1360	−5.76
	0.50	0.0780	2.69	0.0764	0.49	−0.0553	0.52	−0.0529	4.78	0.1472	2.01	0.1381	−4.30
	0.25	0.0776	2.13	0.0768	1.03	−0.0547	1.62	−0.0535	3.75	0.1448	0.36	0.1403	−2.80
		0.0772	1.58	0.4892		−0.0541	2.70	0.4782		0.1425	−1.25	0.4681

N	C_o′	ω_t = 0.5		T(ω_t) = 0.6850		ω_t = 1.0		T(ω_t) = 0.3910		ω_t = 1.5		T(ω_t) = 0.1443
N	C_o′	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error
3	1.00	0.7018	2.45	0.6713	−2.00	0.4119	5.33	0.3765	−3.70	0.1574	9.08	0.1375	−4.69
	0.75	0.6978	1.87	0.6750	−1.47	0.4071	4.11	0.3806	−2.66	0.1546	7.15	0.1397	−3.16
	0.50	0.6939	1.30	0.6787	−0.92	0.4024	2.92	0.3848	−1.59	0.1519	5.28	0.1420	−1.58
	0.25	0.6900	0.73	0.6824	−0.38	0.3979	1.75	0.3890	−0.50	0.1493	3.48	0.1444	0.05
		0.6862	0.18	0.4889		0.3934	0.61	0.4776		0.1468	1.73	0.4663
5	1.0	0.6944	1.37	0.6764	−1.25	0.4020	2.81	0.3815	−2.42	0.1511	4.71	0.1397	−3.15
	0.75	0.6921	1.04	0.6786	−0.93	0.3993	2.13	0.3840	−1.79	0.1496	3.66	0.1411	−2.24
	0.50	0.6898	0.70	0.6808	−0.61	0.3967	1.45	0.3865	−1.16	0.1481	2.62	0.1424	−1.30
	0.25	0.6876	0.37	0.6831	−0.28	0.3941	0.79	0.3890	−0.52	0.1466	1.61	0.1438	−0.35
		0.6853	0.04	0.4935		0.3915	0.13	0.4870		0.1452	0.62	0.4805
7	1.0	0.6915	0.95	0.6788	−0.91	0.3986	1.95	0.3841	−1.78	0.1487	3.07	0.1407	−2.50
	0.75	0.6899	0.72	0.6804	−0.68	0.3967	1.47	0.3858	−1.33	0.1477	2.34	0.1416	−1.84
	0.50	0.6883	0.48	0.6819	−0.45	0.3949	0.99	0.3876	−0.87	0.1466	1.62	0.1426	−1.17
	0.25	0.6867	0.25	0.6835	−0.22	p.3930	0.52	0.3894	−0.41	0.1456	0.91	0.1436	−0.48
		0.6851	0.01	0.4954		0.3912	0.05	0.4907		0.1446	0.21	0.4861
9	1.0	0.6900	0.73	0.6801	−0.71	0.3967	1.46	0.3854	−1.42	0.1476	2.28	0.1413	−2.05
	0.75	0.6887	0.54	0.6813	−0.54	0.3953	1.09	0.3868	−1.07	0.1468	1.72	0.1421	−1.53
	0.50	0.6875	0.36	0.6825	−0.36	0.3938	0.73	0.3882	−0.71	0.1460	1.16	0.1429	−1.00
	0.25	0.6862	0.18	0.6838	−0.18	0.3924	0.36	0.3896	−0.36	0.1452	0.61	0.1436	−0.47
		0.6850	0.0	0.4964		0.3910	0.0	0.4928		0.1444	0.07	0.4892

N	C_o′	ω_t = 0.5		T(ω_t) = 0.3771		ω_t = 1.0		T(ω_t) = 0.2236		ω_t = 1.5		T(ω_t) = 0.1924
N	C_o′	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error	T_A	% error	${\bar{T}}_{A}$	% error
3	1.0	0.4027	6.78	0.3679	−2.44	0.2563	14.60	0.2161	−3.33	0.2314	20.29	0.1747	−9.20
	0.75	0.3980	5.53	0.3719	−1.37	0.2504	12.01	0.2205	−1.40	0.2224	15.59	0.1802	−6.33
	0.50	0.3934	4.31	0.3760	−0.29	0.2449	9.52	0.2250	0.60	0.2141	11.25	0.1861	−3.27
	0.25	0.3889	3.13	0.3802	0.83	0.2396	7.15	0.2296	2.70	0.2063	7.23	0.1924	−0.01
		0.3845	1.96	0.4775		0.2345	4.87	0.4576		0.1991	3.48	0.4302
5	1.0	0.3898	3.37	0.3699	−1.91	0.2375	6.22	0.2132	−4.65	0.2053	6.71	0.1772	−7.92
	0.75	0.3872	2.68	0.3723	−1.28	0.2342	4.73	0.2160	−3.41	0.2013	4.63	0.1803	−6.31
	0.50	0.3846	2.00	0.3747	−0.64	0.2309	3.28	0.2188	−2.15	0.1975	2.63	0.1834	−4.65
	0.25	0.3821	1.33	0.3771	0.01	0.2279	1.86	0.2217	−0.84	0.1938	0.71	0.1868	−2.93
		0.3796	0.66	0.4869		0.2247	0.49	0.4731		0.1902	−1.14	0.4632
7	1.0	0.3856	2.25	0.3715	−1.49	0.2337	4.52	0.2173	−2.82	0.2003	4.08	0.1782	−7.37
	0.75	0.3838	1.76	0.3732	−1.04	0.2315	3.54	0.2192	−1.96	0.1972	2.50	0.1807	−6.07
	0.50	0.3820	1.29	0.3749	−0.58	0.2294	2.58	0.2212	−1.08	0.1943	0.96	0.1833	−4.75
	0.25	0.3802	0.81	0.3766	−0.12	0.2273	1.64	0.2232	−0.19	0.1914	−0.53	0.1859	−3.38
		0.3784	0.34	0.4907		0.2252	0.72	0.4818		0.1886	−1.98	0.4709
9	1.0	0.3833	1.65	0.3724	−1.24	0.2307	3.19	0.2176	−2.66	0.1995	3.69	0.1832	−4.78
	0.75	0.3819	1.28	0.3738	−0.88	0.2290	2.42	0.2192	−1.97	0.1973	2.55	0.1851	−3.80
	0.50	0.3805	0.91	0.3751	−0.53	0.2273	1.66	0.2208	−1.26	0.1952	1.43	0.1870	−2.80
	0.25	0.3792	0.55	0.3764	−0.17	0.2256	0.92	0.2224	−0.55	0.1931	0.34	0.1890	−1.77
		0.3778	0.19	0.4928		0.2240	0.18	0.4854		0.1910	−0.73	0.4787

Abstract

Cited By

Figures (2)

Tables (3)

Equations (18)

Applied Optics