Degradation of an image due to Gaussian motion

Virendra N. Mahajan

doi:10.1364/AO.17.003329

Applied Optics
Vol. 17,
Issue 20,
pp. 3329-3334
(1978)
•https://doi.org/10.1364/AO.17.003329

Degradation of an image due to Gaussian motion

Virendra N. Mahajan

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Virendra N. Mahajan, "Degradation of an image due to Gaussian motion," Appl. Opt. 17, 3329-3334 (1978)

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Abstract

Degradation of an image due to its random motion is considered. Equations describing the effects of Gaussian random motion on the point-spread function, Strehl ratio, and encircled energy are given in terms of the degraded optical transfer function. These equations are used to obtain numerical results for several typical cases of motion of diffraction-limited images formed by imaging systems with obscured circular pupils.

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σ	0.00	0.05	0.10	0.15	0.20	0.25	0.30	0.35	0.40	0.45	0.50	0.55	0.60	0.65	0.70	0.75	0.80	0.85	0.90	0.95
0.00	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000
0.05	0.988	0.988	0.988	0.987	0.987	0.987	0.987	0.986	0.986	0.985	0.985	0.984	0.983	0.983	0.982	0.981	0.980	0.979	0.979	0.981
0.10	0.953	0.952	0.952	0.952	0.951	0.950	0.948	0.947	0.945	0.943	0.941	0.939	0.936	0.933	0.930	0.927	0.924	0.920	0.917	0.916
0.15	0.898	0.898	0.898	0.896	0.895	0.892	0.890	0.887	0.883	0.879	0.875	0.870	0.865	0.859	0.853	0.847	0.841	0.834	0.827	0.823
0.20	0.831	0.831	0.830	0.828	0.825	0.822	0.817	0.813	0.807	0.801	0.794	0.787	0.779	0.771	0.762	0.752	0.743	0.733	0.723	0.715
0.25	0.756	0.756	0.754	0.752	0.748	0.744	0.738	0.732	0.724	0.716	0.708	0.698	0.688	0.677	0.666	0.655	0.643	0.630	0.618	0.608
0.30	0.680	0.679	0.678	0.674	0.670	0.665	0.658	0.650	0.642	0.632	0.622	0.611	0.599	0.587	0.575	0.562	0.549	0.536	0.524	0.513
0.35	0.606	0.606	0.603	0.600	0.595	0.589	0.582	0.573	0.564	0.554	0.543	0.531	0.519	0.507	0.494	0.481	0.468	0.456	0.443	0.433
0.40	0.538	0.537	0.535	0.531	0.526	0.520	0.512	0.503	0.494	0.483	0.472	0.461	0.449	0.437	0.425	0.413	0.402	0.390	0.379	0.370
0.45	0.476	0.476	0.473	0.469	0.464	0.458	0.450	0.442	0.433	0.423	0.412	0.402	0.391	0.380	0.369	0.359	0.348	0.338	0.328	0.321
0.50	0.422	0.421	0.419	0.415	0.410	0.404	0.397	0.389	0.380	0.371	0.362	0.352	0.343	0.333	0.324	0.315	0.306	0.297	0.289	0.283
0.55	0.375	0.374	0.372	0.368	0.364	0.358	0.351	0.344	0.336	0.328	0.320	0.312	0.304	0.296	0.288	0.280	0.273	0.265	0.258	0.253
0.60	0.334	0.333	0.331	0.328	0.323	0.318	0.312	0.306	0.299	0.293	0.236	0.279	0.272	0.265	0.259	0.252	0.246	0.240	0.234	0.229
0.65	0.298	0.298	0.296	0.293	0.289	0.285	0.279	0.274	0.268	0.263	0.257	0.251	0.246	0.240	0.235	0.229	0.224	0.218	0.212	0.203
0.70	0.268	0.267	0.265	0.263	0.260	0.256	0.251	0.247	0.242	0.237	0.233	0.228	0.224	0.219	0.215	0.210	0.206	0.201	0.196	0.187
0.75	0.241	0.241	0.239	0.237	0.234	0.231	0.227	0.223	0.220	0.216	0.212	0.209	0.205	0.202	0.198	0.194	0.190	0.186	0.181	0.174
0.80	0.218	0.218	0.216	0.215	0.212	0.209	0.206	0.203	0.201	0.198	0.195	0.192	0.189	0.187	0.184	0.181	0.177	0.174	0.169	0.163
0.85	0.198	0.198	0.197	0.195	0.193	0.191	0.188	0.186	0.184	0.182	0.180	0.178	0.176	0.173	0.171	0.169	0.166	0.163	0.159	0.153
0.90	0.181	0.180	0.179	0.178	0.176	0.175	0.173	0.171	0.169	0.168	0.166	0.165	0.164	0.162	0.160	0.158	0.156	0.153	0.150	0.144
0.95	0.165	0.165	0.164	0.163	0.162	0.160	0.159	0.158	0.157	0.156	0.155	0.154	0.153	0.152	0.150	0.149	0.147	0.144	0.141	0.136
1.00	0.152	0.152	0.151	0.150	0.149	0.148	0.147	0.146	0.145	0.145	0.144	0.144	0.143	0.143	0.142	0.140	0.139	0.137	0.134	0.131

Abstract

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Figures (9)

Tables (1)

Equations (37)

Applied Optics