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arXiv 0711.0422astro-ph
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吸积盘的辐射转移与肢体暗化

Radiative Transfer and Limb Darkening of Accretion Disks

Jun Fukue, Chizuru Akizuki

摘要:

在有限光学厚度的平行平面近似下,重新研究了几何薄吸积盘中的传输方程。在有和无内加热的情况下,解析地得到了出射强度。对于大的或无限的光学深度,出射强度表现出通常的边缘暗化效应,其中强度作为方向余弦的函数线性变化。另一方面,对于小的光学深度,出射强度的角度依赖性急剧变化。在没有加热但在圆盘赤道处有均匀入射辐射的情况下,对于小的光学深度,出射强度变为各向同性。在均匀内部加热的情况下,对于小的光学深度发生临边增亮。我们还着重讨论了几种情况下吸积盘的边缘变暗效应。

英文摘要:

Transfer equation in a geometrically thin accretion disk is reexamined under the plane-parallel approximation with finite optical depth. Emergent intensity is analytically obtained in the cases with or without internal heating. For large or infinite optical depth, the emergent intensity exhibits a usual limb-darkening effect, where the intensity linearly changes as a function of the direction cosine. For small optical depth, on the other hand, the angle-dependence of the emergent intensity drastically changes. In the case without heating but with uniform incident radiation at the disk equator, the emergent intensity becomes isotropic for small optical depth. In the case with uniform internal heating, the limb brightening takes place for small optical depth. We also emphasize and discuss the limb-darkening effect in an accretion disk for several cases.

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