We investigate rotational diffusion of fluorescent molecules in angular potential wells, the excitation and subsequent emissions from these diffusing molecules, and the imaging of these emissions with high-NA aplanatic optical microscopes. Although dipole emissions only transmit six low-frequency angular components, we show that angular structured illumination can alias higher-frequency angular components into the passband of the imaging system. We show that the number of measurable angular components is limited by the relationships between three time scales: the rotational diffusion time, the fluorescence decay time, and the acquisition time. We demonstrate our model by simulating a numerical phantom in the limits of fast angular diffusion, slow angular diffusion, and weak potentials.

中文翻译：

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时空角荧光显微镜III。受限的角扩散，偏振激发和高NA成像。

我们研究了角势阱中荧光分子的旋转扩散，这些扩散分子的激发和后续发射，以及用高NA非平面光学显微镜对这些发射的成像。尽管偶极子发射仅传输六个低频角分量，但我们表明，角结构照明可以将高频角分量混叠到成像系统的通带中。我们表明，可测量角度分量的数量受三个时间尺度之间的关系限制：旋转扩散时间，荧光衰减时间和获取时间。我们通过在快速角扩散，慢角扩散和弱势的极限中模拟数值幻象来演示我们的模型。