Abstract
In this paper, we achieve the shot-noise limit using straightforward image-post-processing techniques with experimental multi-shot digital holography data (i.e., off-axis data composed of multiple noise and speckle realizations). First, we quantify the effects of frame subtraction (of the mean reference-only frame and the mean signal-only frame from the digital-hologram frames), which boosts the signal-to-noise ratio (SNR) of the baseline dataset with a gain of 2.4 dB. Next, we quantify the effects of frame averaging, both with and without the frame subtraction. We show that even though the frame averaging boosts the SNR by itself, the frame subtraction and the stability of the digital-hologram fringes are necessary to achieve the shot-noise limit. Overall, we boost the SNR of the baseline dataset with a gain of 8.1 dB, which is the gain needed to achieve the shot-noise limit.
Highlights
With the use of a strong reference, digital holography potentially enables a shot-noise-limited detection regime
With Eqs. (1) and (2) in mind, these experiments showed that one can decompose the total-system efficiency, ηt, into independent multiplicative terms, which represent the various physical phenomena that induce efficiency losses. These efficiency losses degrade the achievable signal-to-noise ratio (SNR) and are quantifiable with the appropriate digital-holography datasets and image-post-processing techniques. Another laboratory experiment recently showed that given multi-shot digital holography data, one can use straight forward post processing techniques like frame subtraction and frame averaging to boost the SNRs associated with their digital-holography datasets [28]
We discovered that we can use frame subtraction and frame averaging, along with multi-shot digital holography data, to achieve the shot-noise limit
Summary
With the use of a strong reference, digital holography potentially enables a shot-noise-limited detection regime. These efficiency losses degrade the achievable SNR and are quantifiable with the appropriate digital-holography datasets and image-post-processing techniques Another laboratory experiment recently showed that given multi-shot digital holography data (in this case, off-axis data composed of multiple noise and scintillation realizations), one can use straight forward post processing techniques like frame subtraction and frame averaging to boost the SNRs associated with their digital-holography datasets [28]. This experiment, did not attempt to quantify these SNR boosts in terms of efficiency losses.
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