Single-spot spiral phase plate for tracking 3D particle motion.

Abstract

We have imaged and tracked submicron fluorescent particles in three dimensions by inserting a spiral phase plate (SPP) of our design into a conventional wide-field optical microscope. Our novel SPP consists of concentric annular zones that each impose a unique quantized orbital angular momentum (OAM) on the ring of fluorescent light it intercepts. Each ring of the SPP consists of a vortex surface that produces one additional unit of OAM than the smaller ring just inside it, with the seven successive rings each contributing n = 1 to 7 quantum units of OAM respectively. The light rings interfere to produce a single-spot rotating point spread function (SS-RPSF). This image ‘spot’ rotates with the axial depth of a particle, permitting 3D mapping of the particle position. The SPP is easily incorporated into existing microscopes. We used the DIC slider here for the SPP. 3D positions of fluorescent beads were retrieved using template matching. Bead positions could be inferred over a 6 µm depth range. Best results were obtained over a depth range of 2.3 μm, with a mean absolute error of 20 nm in this range. As proof-of-concept for live-cell imaging we tracked DNA loci and determined their diffusion coefficients in the 3D environment of the nucleus of U2OS cells. We are pursuing chromatin tracking experiments to better understand how DNA damage affects chromatin motions and, reciprocally, how chromatin dynamics impacts the DNA damage response. Beyond this specific application, our SPP-based imaging approach should enable researchers to track dynamic fluorescent objects in samples with high temporal resolution because x, y, and z are determined at exactly the same time.