Photon Noise in Digital Holographic Detection
Technical paper Sep 2006-Sep 2008
COHERENT TECHNOLOGIES INC LOUISVILLE CO
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Digital holographic detection is used to measure coherent, complex-valued image or pupil-plane data. With the complex-valued data, one has access to a digital representation of the optical field and therefore can perform advanced functions such as three-dimensional imaging and correction of phase errors imparted by instrumentation or atmospheric turbulence. This paper contains a derivation of the signal to noise ratio specifically for digital holographic detection in the presence of photon noise and shows that quantum-limited detection is achieved as expected from similar analysis for temporal heterodyne detection and stellar speckle interferometry. An example signal-to-noise calculation is included with a discussion of quadrature detection.