Diffraction-Limited Resolution for Geoscene Imagery

Joseph Otterman

doi:10.1364/AO.8.001887

Applied Optics
Vol. 8,
Issue 9,
pp. 1887-1889
(1969)
•https://doi.org/10.1364/AO.8.001887

Diffraction-Limited Resolution for Geoscene Imagery

Joseph Otterman

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Joseph Otterman, "Diffraction-Limited Resolution for Geoscene Imagery," Appl. Opt. 8, 1887-1889 (1969)

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Abstract

The existing criteria for diffraction-limited resolution are not applicable to the problem of imaging a geoscene, that is, a scene consisting of contiguous extended sources. Using tables of annular aperture energy distribution for an extended source, recently computed by Goldberg and McCulloch, such resolution criteria are calculated and presented in forms of tables for various obscuration ratios.

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θ Airy units	∊ = 0′	∊ = 0.1	∊ = 0.2	∊ = 0.3	∊ = 0.4	∊ = 0.5
0.5	0.435	0.428	0.406	0.373	0.329	0.278
1.0	0.644	0.634	0.606	0.566	0.517	0.457
1.5	0.734	0.724	0.706	0.670	0.632	0.581
2.0	0.785	0.776	0.756	0.731	0.698	0.656
2.5	0.819	0.810	0.793	0.771	0.743	0.705
3.0	0.843	0.834	0.820	0.800	0.775	0.742
3.5	0.860	0.853	0.840	0.822	0.799	0.769
4.0	0.874	0.867	0.855	0.839	0.819	0.791
4.5	0.886	0.879	0.868	0.853	0.834	0.809
5.0	0.895	0.889	0.878	0.865	0.847	0.823
6.0	0.909	0.904	0.894	0.883	0.867	0.846
7.0	0.920	0.915	0.907	0.896	0.882	0.864
8.0	0.928	0.923	0.916	0.906	0.894	0.877
9.0	0.935	0.930	0.924	0.915	0.904	0.888
10.0	0.940	0.936		0.922	0.911	0.897

∊		0.0	0.1	0.2	0.3	0.4	0.5
θ_g	Angle units of 1.22 λ/D	5.8	6.2	6.9	8.1	9.2	11.3
θ_g	Radians/(λ/D)	7.1	7.6	8.4	9.8	11.2	13.8

θ_p	Angle units of 1.22 λ/D	10.7	11.5	12.9	14.8	17.2	20.7
θ_p	Radians/(λ/D)	13.1	14.0	15.8	18.1	21.0	25.1

θ Airy units	∊ = 0′	∊ = 0.1	∊ = 0.2	∊ = 0.3	∊ = 0.4	∊ = 0.5
0.5	0.435	0.428	0.406	0.373	0.329	0.278
1.0	0.644	0.634	0.606	0.566	0.517	0.457
1.5	0.734	0.724	0.706	0.670	0.632	0.581
2.0	0.785	0.776	0.756	0.731	0.698	0.656
2.5	0.819	0.810	0.793	0.771	0.743	0.705
3.0	0.843	0.834	0.820	0.800	0.775	0.742
3.5	0.860	0.853	0.840	0.822	0.799	0.769
4.0	0.874	0.867	0.855	0.839	0.819	0.791
4.5	0.886	0.879	0.868	0.853	0.834	0.809
5.0	0.895	0.889	0.878	0.865	0.847	0.823
6.0	0.909	0.904	0.894	0.883	0.867	0.846
7.0	0.920	0.915	0.907	0.896	0.882	0.864
8.0	0.928	0.923	0.916	0.906	0.894	0.877
9.0	0.935	0.930	0.924	0.915	0.904	0.888
10.0	0.940	0.936		0.922	0.911	0.897

∊		0.0	0.1	0.2	0.3	0.4	0.5
θ_g	Angle units of 1.22 λ/D	5.8	6.2	6.9	8.1	9.2	11.3
θ_g	Radians/(λ/D)	7.1	7.6	8.4	9.8	11.2	13.8

θ_p	Angle units of 1.22 λ/D	10.7	11.5	12.9	14.8	17.2	20.7
θ_p	Radians/(λ/D)	13.1	14.0	15.8	18.1	21.0	25.1

Abstract

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Tables (2)

Applied Optics