角分辨率 Angular resolution

（重定向自Spatial resolution）

$Airy diffraction patterns generated by light from two points passing through a circular aperture, such as the pupil of the eye. Points far apart (top) or meeting the Rayleigh criterion (middle) can be distinguished. Points closer than the Rayleigh criterion (bottom) are difficult to distinguish.$

$Log-log plot of aperture diameter vs angular resolution at the diffraction limit for various light wavelengths compared with various astronomical instruments. For example, the blue star shows that the Hubble Space Telescope is almost diffraction-limited in the visible spectrum at 0.1 arcsecs, whereas the red circle shows that the human eye should have a resolving power of 20 arcsecs in theory, though normally only 60 arcsecs.$

瑞利准则，或瑞利判据（Rayleigh criterion）表示了一个光学仪器的角分辨度（Angular resolution），最早由瑞利提出。

衍射限制了透镜的分辨度。透镜的口径，可以视为单狭缝的二维版本。经过狭缝的光波干涉，形成所谓的爱里衍射图样。这引致图像模糊。圆孔衍射的光强可写成：

$I( \theta ) = I_0 ( \frac{2 J_1 (k R \sin \theta ) }{k R \sin \theta} )^2$

其中 $R$ 是圆孔半径， $k = 2 \pi / \lambda$ ， $\lambda$ 是光波长。 $J_1(x)$ 是贝塞尔函数。 $J_1(x)=0$ 的最小正实数解是 $x = 3.83$ ， $I(\theta)=0$ 的最小正实数解就是

这表示了若透镜和两个对象之间的夹角少于 $\theta$ ，透镜的观察者便无法分辨出有两个对象。

空间分辨度（spatial resolution）：单镜望远镜最小能观察到的对象的直径是 $l = 1.220 \frac{f \lambda}{2 R}$ ，其中 $f$ 是焦距。

单词	Spatial resolution
释义	Spatial resolution 原声例句中级英语短文 Its 76-meter spatial resolution provides better quality for conducting future Martian exploration projects and scientific research. 其 76 米的空间分辨率为未来进行火星探测项目和科学研究提供了更好的质量。 China Daily 最新合辑 The color images include the Robinson projection, Mercator projection, azimuth projection, and orthographic projection of the Eastern and Western hemispheres of the Red Planet, with a spatial resolution of 76 meters. 本次发布的影像图为彩色，包括按照制图标准分别制作的火星东西半球正射投影图、鲁宾逊投影图和墨卡托投影加方位投影图，空间分辨率为 76 米。中文百科角分辨率 Angular resolution （重定向自Spatial resolution） $Airy diffraction patterns generated by light from two points passing through a circular aperture, such as the pupil of the eye. Points far apart (top) or meeting the Rayleigh criterion (middle) can be distinguished. Points closer than the Rayleigh criterion (bottom) are difficult to distinguish.$ $Log-log plot of aperture diameter vs angular resolution at the diffraction limit for various light wavelengths compared with various astronomical instruments. For example, the blue star shows that the Hubble Space Telescope is almost diffraction-limited in the visible spectrum at 0.1 arcsecs, whereas the red circle shows that the human eye should have a resolving power of 20 arcsecs in theory, though normally only 60 arcsecs.$ 瑞利准则，或瑞利判据（Rayleigh criterion）表示了一个光学仪器的角分辨度（Angular resolution），最早由瑞利提出。衍射限制了透镜的分辨度。透镜的口径，可以视为单狭缝的二维版本。经过狭缝的光波干涉，形成所谓的爱里衍射图样。这引致图像模糊。圆孔衍射的光强可写成： $I( \theta ) = I_0 ( \frac{2 J_1 (k R \sin \theta ) }{k R \sin \theta} )^2$ 其中 $R$ 是圆孔半径， $k = 2 \pi / \lambda$ ， $\lambda$ 是光波长。 $J_1(x)$ 是贝塞尔函数。 $J_1(x)=0$ 的最小正实数解是 $x = 3.83$ ， $I(\theta)=0$ 的最小正实数解就是这表示了若透镜和两个对象之间的夹角少于 $\theta$ ，透镜的观察者便无法分辨出有两个对象。空间分辨度（spatial resolution）：单镜望远镜最小能观察到的对象的直径是 $l = 1.220 \frac{f \lambda}{2 R}$ ，其中 $f$ 是焦距。英语百科 Angular resolution 角分辨率（重定向自Spatial resolution） $Airy diffraction patterns generated by light from two points passing through a circular aperture, such as the pupil of the eye. Points far apart (top) or meeting the Rayleigh criterion (middle) can be distinguished. Points closer than the Rayleigh criterion (bottom) are difficult to distinguish.$ $Log-log plot of aperture diameter vs angular resolution at the diffraction limit for various light wavelengths compared with various astronomical instruments. For example, the blue star shows that the Hubble Space Telescope is almost diffraction-limited in the visible spectrum at 0.1 arcsecs, whereas the red circle shows that the human eye should have a resolving power of 20 arcsecs in theory, though normally only 60 arcsecs.$ Angular resolution or spatial resolution describes the ability of any image-forming device such as an optical or radio telescope, a microscope, a camera, or an eye, to distinguish small details of an object, thereby making it a major determinant of image resolution.
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Spatial resolution

角分辨率 Angular resolution

Angular resolution 角分辨率