Abstract
This erratum corrects errors in Appl. Opt. 46, 5374 (2007) [CrossRef] .
© 2022 Optica Publishing Group
In our original paper [1], the caption of Fig. 1 states that the amplitude parameter used to generate the figure is $A = 100$. However, the peak of the Gaussian profile clearly extends to 200, so the caption is in error. The model for generating this figure uses $A = 200$.
In addition, the paper refers to $A$ as the “peak amplitude”. However, a look through the various equations throughout the paper shows that the units of the detection variable $g$ correspond to $A$ multiplied to ${\delta _x}$. Since ${\delta _x}$ is the pixel width (in units of, say, microns), the units of $A$ must therefore be the detection variable (volts, irradiance, unitless, etc., depending on the detection system) divided by length. This change extends to the use of $A$ in all of the paper equations and corrects the units in the variance equations but does not affect any of the paper conclusions.
REFERENCE
1. N. Hagen, M. Kupinski, and E. L. Dereniak, “Gaussian profile estimation in one dimension,” Appl. Opt. 46, 5374–5383 (2007). [CrossRef]