## Abstract

A method to obtain the axial locations of objects reconstructed by scanning holographic microscopy with submicrometer accuracy is presented and demonstrated. The method combines the holographic advantage of capturing three-dimensional (3D) information in a single two-dimensional scan, with the possibility of optically sectioning the 3D holographic reconstruction *a posteriori*. The method is demonstrated experimentally for pointlike features (fluorescent beads), and the limitation of the method for features of arbitrary size and shape is discussed.

© 2006 Optical Society of America

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### Equations (6)

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(1)
$${\stackrel{\u0303}{P}}_{1}\left(\mathbf{\rho}\right)=\mathrm{exp}(-i\pi \lambda {z}_{0}{\rho}^{2})\mathrm{circ}(\rho \u2215{\rho}_{\mathrm{MAX}}),$$
(2)
$${\stackrel{\u0303}{P}}_{2}\left(\mathbf{\rho}\right)=\delta \left(\rho \right),$$
(3)
$$\stackrel{\u0303}{R}(\mathbf{\rho};{z}_{R})=\int \mathrm{d}z\stackrel{\u0303}{I}(\mathbf{\rho};z)\mathrm{exp}[-i\pi \lambda (z-{z}_{R}){\rho}^{2}]\mathrm{circ}(\rho \u2215{\rho}_{\mathrm{MAX}}),$$
(4)
$$R(\mathbf{\mu},\xi )\delta (\mathbf{\mu}-{\mathbf{\mu}}_{P})=\int \stackrel{\u0303}{R}(\mathbf{\rho};\xi ){\mathrm{d}}^{2}\rho =\pi {\left({\rho}_{\mathrm{MAX}}\right)}^{2}\phantom{\rule{0.2em}{0ex}}\mathrm{exp}[-i\pi \xi \u22152]\mathrm{sin}(\pi \xi \u22152)\u2215(\pi \xi \u22152).$$
(5)
$$s=\mathrm{d}\varphi \u2215\mathrm{d}z=-\pi \u22152{\epsilon}_{Z}.$$
(6)
$$\Delta {z}_{F}=2{\epsilon}_{Z}.$$