  An holographic microscopy reconstruction method compatible with high
numerical aperture microscope objective (MO) up to NA=1.4 is proposed. After
off axis and reference field curvature corrections, and after selection of the
+1 grating order holographic image, a phase mask that transforms the optical
elements of the holographic setup into an afocal device is applied in the
camera plane. The reconstruction is then made by the angular spectrum method.
The field is first propagated in the image half space from the camera to the
afocal image of the MO optimal plane (plane for which MO has been designed) by
using a quadratic kernel. The field is then propagated from the MO optimal
plane to the object with the exact kernel. Calibration of the reconstruction is
made by imaging a calibrated object like an USAF resolution target for
different positions along $z$. Once the calibration is done, the reconstruction
can be made with an object located in any plane $z$. The reconstruction method
has been validated experimentally with an USAF target imaged with a NA=1.4
microscope objective. Near-optimal resolution is obtained over an extended
range ($\pm 50~\mu$m) of $z$ locations.
