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ao:camera_noise [2018/07/06 13:37]
127.0.0.1 external edit
ao:camera_noise [2018/07/07 08:39] (current)
jones
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 +====== Camera Noise ======
  The noise properties of an EMCCD can be tricky to understand. First, for a given photon rate, shot-noise gives a Poisson distribution of electrons entering the readout amplifier. Each electron gives an exponential distribution of charge with a mean equal to the //EM Gain//, and then readout noise is added to the end result. Typically, high gains correspond to the //EM Gain// being 10 or 20 times higher than the readout noise.\\ \\  In addition, there is a dark current that is proportional to the readout rate, i.e. a number of "fake photons" per frame that is independent of exposure time. This is called the clock-induced charge and is equal to ~1% in high-gain mode for our new Andor camera.\\ \\   The noise properties of an EMCCD can be tricky to understand. First, for a given photon rate, shot-noise gives a Poisson distribution of electrons entering the readout amplifier. Each electron gives an exponential distribution of charge with a mean equal to the //EM Gain//, and then readout noise is added to the end result. Typically, high gains correspond to the //EM Gain// being 10 or 20 times higher than the readout noise.\\ \\  In addition, there is a dark current that is proportional to the readout rate, i.e. a number of "fake photons" per frame that is independent of exposure time. This is called the clock-induced charge and is equal to ~1% in high-gain mode for our new Andor camera.\\ \\ 
 ==== Noise Factor ==== ==== Noise Factor ====
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 \\  The noise factor for an EMCCD can be reduced by thresholding. In the simplest form, all pixel values less than some threshold at 2 to 3 times the readout noise are called 0, and all other pixel values are called 1. This simple thresholding only works well at photon rates less than about 0.25 photons per pixel per frame - the rate at which nonlinearity becomes significant at the 10% level (i.e. there are 0.1 times as many 2-photon events as 1-photon events). For slightly higher photon rates, there are lots of options to threshold but reduce nonlinearity, as shown in the following 2 examples.\\  \\  The noise factor for an EMCCD can be reduced by thresholding. In the simplest form, all pixel values less than some threshold at 2 to 3 times the readout noise are called 0, and all other pixel values are called 1. This simple thresholding only works well at photon rates less than about 0.25 photons per pixel per frame - the rate at which nonlinearity becomes significant at the 10% level (i.e. there are 0.1 times as many 2-photon events as 1-photon events). For slightly higher photon rates, there are lots of options to threshold but reduce nonlinearity, as shown in the following 2 examples.\\ 
  
-| {{/file/view/EMCCD_0_05_photons.gif/361473064/425x354/EMCCD_0_05_photons.gif|EMCCD_0_05_photons.gif}} |+| {{ao:EMCCD_0_05_photons.gif|EMCCD_0_05_photons.gif}} |
 | as | | as |
-\\ //Figure 1: Expected number of photons versus EMCCD output for an input where pixels have uniformly distributed photon arrival rates between 0 and 0.1 photons/pixel/frame, and a simple thresholding scheme (dashed line). The effective QE is 0.46 times ideal when using the raw EMCCD output, and 0.78 times idel when using the thresholding scheme.//\\ {{/file/view/EMCCD_0_5_photons.gif/361473114/425x354/EMCCD_0_5_photons.gif|EMCCD_0_5_photons.gif}}\\ //Figure 2: Expected number of photons versus EMCCD output// //for an input where pixels have uniformly distributed photon arrival rates between 0 and 1 photons/pixel/frame////, and a simple thresholding scheme (dashed line). The effective QE is 0.49 times// //ideal when using the raw EMCCD output, and 0.8 times ideal when using the thresholding scheme. Part of this gain is not real because of nonlinearities introduced in the thresholding. A full simulation is needed to really establish how effective this is....//\\ \\ +\\ //Figure 1: Expected number of photons versus EMCCD output for an input where pixels have uniformly distributed photon arrival rates between 0 and 0.1 photons/pixel/frame, and a simple thresholding scheme (dashed line). The effective QE is 0.46 times ideal when using the raw EMCCD output, and 0.78 times idel when using the thresholding scheme.//\\ {{ao:EMCCD_0_5_photons.gif|EMCCD_0_5_photons.gif}}\\ //Figure 2: Expected number of photons versus EMCCD output// //for an input where pixels have uniformly distributed photon arrival rates between 0 and 1 photons/pixel/frame////, and a simple thresholding scheme (dashed line). The effective QE is 0.49 times// //ideal when using the raw EMCCD output, and 0.8 times ideal when using the thresholding scheme. Part of this gain is not real because of nonlinearities introduced in the thresholding. A full simulation is needed to really establish how effective this is....//\\ \\ 
 ==== Optimal Photon Rates ==== ==== Optimal Photon Rates ====
 \\  The above arguments mean that there are 2 obvious ways to run an EMCCD as an AO sensor:\\  \\  The above arguments mean that there are 2 obvious ways to run an EMCCD as an AO sensor:\\ 
ao/camera_noise.1530898652.txt.gz ยท Last modified: 2018/07/06 13:37 by 127.0.0.1