Light sheet microscope for recording 3D images of a specimen, comprising a light sheet generator, an objective lens, an image detector and a wavefront encoder element or system positioned between the objective lens and the image detector for extending the depth of field of the objective lens. By doing so, the restriction on the distance between the collecting objective and the light sheet is relaxed, allowing the use of a light sheet scanning unit. The resulting light sheet microscope allows for a robust, aberration insensitive, fast 3D imaging without the need to move or perturb the specimen.