A new approach to extended focus for high-speed, high-resolution biological microscopy

Microscopic study of rapid biological processes often requires both high resolution and high acquisition speed. When the speed requirement precludes acquiring a full 3D focal series at each time point, it can be attractive to sacrifice all axial information and instead record a single, 2D image per time point. This can be done at very high frame rates. High-resolution objectives, however, have a very short depth of focus. There are several established methods to achieve extended depth of focus, including annular pupil masks; mechanical sweeping of the focus and wavefront coding, which uses a pupil-plane optical device to introduce geometric aberrations. We have developed a new pupil plane approach where the light is manipulated chromatically rather than geometrically. A phase mask with circularly symmetric stair steps divides the pupil plane into a series of annular zones. The stair steps are large compared to the coherence length of the observation light, so that images from different zones form independently and combine incoherently into a final image. Each zone carries only a fraction of the objective's axial resolution, but the larger zones still carry the full lateral resolution of the objective. The incoherent addition of the different single-zone images results in a smooth and circularly symmetric point spread function with a depth of focus that is extended by a factor approximately equal to the number of zones in the mask. The method has been demonstrated both on bead samples and on whole cells with a performance that is well in accordance with the theoretical predictions.