Smith Carlas, Huisman Max, Siemons Marijn, Grünwald David, Stallinga Sjoerd
Opt Express. 2016 Mar 7;24(5):4996-5013. doi: 10.1364/OE.24.004996.
We show that the position of single molecules in all three spatial dimensions can be estimated alongside its emission color by diffractive optics based design of the Point Spread Function (PSF). The phase in a plane conjugate to the aperture stop of the objective lens is modified by a diffractive structure that splits the spot on the camera into closely spaced diffraction orders. The distance between and the size of these sub-spots are a measure of the emission color. Estimation of the axial position is enabled by imprinting aberrations such as astigmatism and defocus onto the orders. The overall spot shape is fitted with a fully vectorial PSF model. Proof-of-principle experiments on quantum dots indicate that a spectral precision of 10 to 20 nm, an axial localization precision of 25 to 50 nm, and a lateral localization precision of 10 to 30 nm can be achieved over a 1 μm range of axial positions for on average 800 signal photons and 17 background photons/pixel. The method appears to be rather sensitive to PSF model errors such as aberrations, giving in particular rise to biases in the fitted wavelength of up to 15 nm.
我们表明,基于点扩散函数(PSF)的衍射光学设计,可以在估计单分子发射颜色的同时,估计其在所有三个空间维度上的位置。通过衍射结构改变与物镜孔径光阑共轭平面中的相位,该衍射结构将相机上的光斑分裂为间距紧密的衍射级。这些子光斑之间的距离和大小是发射颜色的一种度量。通过将像散和散焦等像差印刻在衍射级上,可以实现轴向位置的估计。整体光斑形状用全矢量PSF模型进行拟合。对量子点的原理验证实验表明,在1μm的轴向位置范围内,对于平均800个信号光子和17个背景光子/像素,光谱精度可达10至20nm,轴向定位精度可达25至50nm,横向定位精度可达10至30nm。该方法似乎对像差等PSF模型误差相当敏感,特别是在拟合波长中会产生高达15nm的偏差。