Abstract
A theoretical analysis describing the dependence of the signal-tonoise ratio (SNR) on the number of pixels and the number of particles is presented for in-line digital particle holography. The validity of the theory is verified by means of numerical simulation. Based on the theory we present a practical performance benchmark for digital holographic systems. Using this benchmark we improve the performance of an experimental holographic system by a factor three. We demonstrate that the ability to quantitatively analyze the system performance allows for a more systematic way of designing, optimizing, and comparing digital holographic systems.
Highlights
Much effort is focussed on the development of digital particle holography, especially to facilitate the three-dimensional study of flow phenomena [1]
One of the challenges in digital particle holography is to increase the number of particles that can be recorded in a single hologram
In this study we have shown that in in-line digital particle holography the signal-to-noise ratio (SNR) due to virtual images and hologram speckle noise is fundamentally limited by the number of particles, the number of pixels, and the reference-to-object intensity ratio
Summary
Much effort is focussed on the development of digital particle holography, especially to facilitate the three-dimensional study of flow phenomena [1]. One of the challenges in digital particle holography is to increase the number of particles that can be recorded in a single hologram It is not yet fully known how the number of pixels and the number of particles affect the signal-to-noise ratio (SNR) of the numerical reconstruction. It was estimated that the number of particles that could be stored in a digital hologram could not exceed half the number of pixels [3] This estimate is an upper limit based on the fact that it is impossible to get more measurements of particle position than there are measurements of the (complex) scattered field; it did not involve the physical nature of the holographic recording process. We relate the SNR in in-line digital particle holography to the number of pixels, the number of particles, and the ratio between reference and object intensity. We assume that the holograms are recorded using a CCD with infinite dynamic range
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