Specifications

Table Of Contents
Version 1.1 rev Jan 2013
Page 42
iXon Ultra
, Features and Functionality
3.1.4 - Multiplicative Noise Factor and Photon Counting
It is impossible to determine the exact gain a detected signal charge traversing the EM Gain register will acquire, due
to the stochastic nature of the processes which produce EM Gain. However, it is possible to calculate the probability
distribution function of output charge for a given input charge.
At high gain levels (> x30) this uncertainty introduces an additional noise component called Multiplicative Noise. This
noise source is only present in signal amplifying technologies and is a measure of the uncertainty inherent in the signal
multiplying process. For example, during each transfer of electrons from element to element along the gain register of
the EMCCD, only a small probability exists that the process of impact ionization will produce an extra electron during
that step. This is a small probability, but when executed over > 590 steps it results in a very large overall EM Gain.
However, the downside to this process results from the probabilities. Due to this, there is a statistical variation in the
overall number of electrons generated by the gain register from an initial charge packet. This uncertainty is quantied
by a parameter called “Noise Factor” and detailed theoretical and measured analysis has placed this Noise Factor at a
value of √2 (or 1.41:1) for EMCCD technology.
NOTE: This noise source is signicantly greater for the Multi Channel Plate (MCP) of ICCDs than for the gain
register of EMCCD. ICCDs have noise factors typically ranging from 1.5 to >2.
Multiplicative noise is an additional form of noise that must be taken into account when calculating Signal/Noise for
these types of detectors. However, one way to better understand the potential effects of this noise source is in terms
of an addition to the shot noise of the system. Extra multiplicative noise has the same form as shot noise as each noise
type results in an increase in the variation of number of electrons that are read out of the sensor (under constant uniform
illumination).
Multiplicative noise can be thought to contribute directly to the overall shot noise, in that one should multiply the Shot
Noise by the Noise Factor when calculating overall noise. Simply put, multiplicative noise does not in any way reduce
the average signal intensity, or reduce the number of photons that are detected. It simply increases the degree of
variation of the signal around the mean value, in addition to the variation that already exists from the shot noise (variation
from pixel to pixel or from frame to frame). This additional variation to the signal intensity is represented overleaf in
Figure 11 as a signal intensity prole.